A method and system for determining the reinforcement parameters of a wooden formwork for a canopy roof concrete

Abstract

The present application relates to the technical field of building construction formwork reinforcement, in particular, the present application relates to a kind of awning roof concrete wood formwork reinforcement parameter determination method and system, the present application establishes reinforcement calculation model by obtaining arc curved surface design data and wood formwork segmented data, obtains the out-of-plane deformation trend, main stress position and inflection point stress state by loading pouring load and material stiffness data, according to this, determine arc main keel parameter, secondary keel arrangement parameter and node locking parameter, combined with joint sealing constraint check to obtain joint compression parameter and inflection point support parameter, when not satisfied by checking, main keel parameter and node locking parameter are adjusted reversely by disturbance method, reinforcement parameter result is generated to guide construction, improve the arc curved surface wood formwork reinforcement parameter calculation precision.

Description

Technical Field

[0001] This invention relates to the field of formwork reinforcement technology in building construction, and more specifically, to a method and system for determining reinforcement parameters of concrete wooden formwork for canopy roofs. Background Technology

[0002] Railway side platform canopies typically employ curved surface structures, resulting in narrow and limited working spaces. The quality of the simulated fair-faced concrete molding requires high precision in the flatness of the formwork and the smoothness of the curved surface. Conventional wooden formwork reinforcement methods often use straight components, which are difficult to conform to the roof curvature. During concrete pouring, formwork deformation and curvature shifts are prone to occur. Uneven stress on formwork joints can also cause grout leakage and misalignment, thus affecting the surface molding quality of the simulated fair-faced concrete. The reinforcement parameters for curved surface formwork are influenced by both the roof curvature and the pouring load. The stiffness of the wooden formwork affects out-of-plane deformation, the locking state of nodes affects local support stiffness, and the joint compression state affects the continuity of the molded surface. Relying on manual experience to determine reinforcement parameters can easily lead to insufficient local support or excessive constraint, resulting in formwork springback and local warping. Therefore, it is necessary to determine reinforcement parameters that match the stress state of the curved surface. To solve this technical problem, we provide a method and system for determining the reinforcement parameters of wooden formwork for canopy roof concrete. Summary of the Invention

[0003] The purpose of this invention is to provide a method and system for determining the reinforcement parameters of concrete wooden formwork for canopy roofs, so as to solve the problems mentioned in the background art.

[0004] To achieve the above objectives, one objective of this invention is to provide a method for determining the reinforcement parameters of concrete wooden formwork for canopy roofs, comprising the following steps: S1. Obtain the arc-shaped surface design data and wooden formwork segment data of the canopy roof. Based on the arc-shaped surface design data and wooden formwork segment data, establish a wooden formwork reinforcement calculation model so that the wooden formwork segment data corresponds to the roof curvature change. S2. Obtain concrete pouring load data and formwork material stiffness data, load the concrete pouring load data and formwork material stiffness data into the wooden formwork reinforcement calculation model, and obtain the out-of-plane deformation trend, main stress position and inflection point stress state corresponding to the segmented data of the wooden formwork. S3. Determine the parameters of the arc-shaped main keel and the arrangement parameters of the secondary keel according to the out-of-plane deformation trend. Determine the node locking parameters according to the main stress position. The parameters of the arc-shaped main keel are used to control the formwork surface fitting state. The arrangement parameters of the secondary keel are used to control the load transfer path. The node locking parameters are used to control local deformation. S4. Obtain the joint sealing constraint conditions. Based on the joint sealing constraint conditions and the stress state of the inflection point, check the parameters of the arc-shaped main keel, the arrangement parameters of the secondary keel, and the locking parameters of the nodes to obtain the joint compression parameters and the support parameters of the inflection point. When the check does not meet the joint sealing constraint conditions, adjust the parameters of the arc-shaped main keel and the locking parameters of the nodes in the opposite direction, and reload the adjusted parameters of the arc-shaped main keel and the locking parameters of the nodes into the wood formwork reinforcement calculation model. S5. Based on the adjusted parameters of the arc-shaped main keel, the secondary keel arrangement parameters, the adjusted node locking parameters, the joint pressing parameters, and the inflection point support parameters, the reinforcement parameter determination results are generated. The reinforcement parameter determination results are used to guide the reinforcement construction of the concrete wooden formwork for the canopy roof, so that the formwork surface fitting state and the joint sealing state meet the requirements for the molding of imitation fair-faced concrete.

[0005] The second objective of this invention is to provide a system for determining the reinforcement parameters of a concrete wooden formwork for a canopy roof, comprising: a model building unit, a load calculation unit, a parameter determination unit, a verification and adjustment unit, and a result generation unit.

[0006] Compared with the prior art, the beneficial effects of the present invention are as follows: This invention establishes a correspondence between the roof curvature and the stress state of the formwork through a calculation model for the reinforcement of curved wooden formwork. This eliminates the need for manual experience in determining reinforcement parameters. The calculation equipment can correct the reinforcement parameters based on the out-of-plane deformation of the formwork and the opening trend of the joints. This makes the adjustment state of the main keel and the locking state of the nodes more consistent with the actual stress requirements, reducing the risk of springback and local deformation of the curved formwork, and lowering the probability of bulging and grout leakage during the pouring process. Attached Figure Description

[0007] Figure 1 This is a flowchart illustrating the overall workflow of the present invention; Figure 2 This is a structural block diagram of the system of the present invention; Figure 3 This is a diagram showing the alignment of the curvature distribution of the arc-shaped surface with the segmental boundaries of the wooden template. Figure 4 Diagram showing the out-of-plane deformation trend and stress distribution of wooden formwork under pouring load; Figure 5 For the seam opening amount verification and reverse adjustment iterative convergence graph; Figure 6 A surface plot showing the sensitivity of the arc-shaped main keel parameters and node locking parameters to the splice opening. Figure 7 This is a comparison chart of the deviation in the fit of the template surface and the gap between the joints before and after construction correction. Detailed Implementation

[0008] The technical solutions of the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some embodiments of the present invention, and not all embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those skilled in the art without creative effort are within the scope of protection of the present invention.

[0009] Please see Figure 1 As shown, one of the objectives of this embodiment is to provide a method for determining the reinforcement parameters of concrete wooden formwork for canopy roofs, including the following steps: S1. Obtain the arc-shaped surface design data and wooden formwork segment data of the canopy roof. Based on the arc-shaped surface design data and wooden formwork segment data, establish a wooden formwork reinforcement calculation model so that the wooden formwork segment data corresponds to the roof curvature change. S2. Obtain concrete pouring load data and formwork material stiffness data, load the concrete pouring load data and formwork material stiffness data into the wooden formwork reinforcement calculation model, and obtain the out-of-plane deformation trend, main stress position and inflection point stress state corresponding to the segmented data of the wooden formwork. S3. Determine the parameters of the arc-shaped main keel and the arrangement parameters of the secondary keel according to the out-of-plane deformation trend. Determine the node locking parameters according to the main stress position. The parameters of the arc-shaped main keel are used to control the formwork surface fitting state. The arrangement parameters of the secondary keel are used to control the load transfer path. The node locking parameters are used to control local deformation. S4. Obtain the joint sealing constraint conditions. Based on the joint sealing constraint conditions and the stress state of the inflection point, check the parameters of the arc-shaped main keel, the arrangement parameters of the secondary keel, and the locking parameters of the nodes to obtain the joint compression parameters and the support parameters of the inflection point. When the check does not meet the joint sealing constraint conditions, adjust the parameters of the arc-shaped main keel and the locking parameters of the nodes in the opposite direction, and reload the adjusted parameters of the arc-shaped main keel and the locking parameters of the nodes into the wood formwork reinforcement calculation model. S5. Based on the adjusted parameters of the arc-shaped main keel, the secondary keel arrangement parameters, the adjusted node locking parameters, the joint pressing parameters, and the inflection point support parameters, the reinforcement parameter determination results are generated. The reinforcement parameter determination results are used to guide the reinforcement construction of the concrete wooden formwork for the canopy roof, so that the formwork surface fitting state and the joint sealing state meet the requirements for the molding of imitation fair-faced concrete.

[0010] Establishing a calculation model for timber formwork reinforcement is fundamental for subsequent load calculations and parameter determination. The degree of correspondence between the curved surface geometric features and the segmented features of the timber formwork in the calculation model directly affects the calculation results of out-of-plane deformation trends and principal stress locations. When the calculation equipment extracts curvature distribution data from the curved surface design data, the curved surface design data records the cross-sectional shape of the canopy roof along the curved direction in the form of parametric curves. Describe the parameters The values ​​monotonically increase from 0 to 1 along the arc direction, and the planar coordinates of any sampling point on the curve are given by: and The computing device calculates the parameters according to the following formula. Curvature value at the corresponding position: In the formula for right The first derivative, for right The first derivative, for right The second derivative, for right The second derivative, curvature value The dimensions are The computing device moves in equal steps along the arc direction. Pick Each sampling point is calculated individually. The curvature value of each sampling point The curvature values ​​of the sampling points are arranged along the arc direction to form curvature distribution data.

[0011] After obtaining the curvature distribution data, the computing device divides the canopy roof into curvature segments based on the data. However, dividing the curvature segments solely according to the magnitude of the curvature value cannot simultaneously reflect both the rate of change of the curvature value and the degree of tangent deflection. Therefore, the computing device introduces a curvature complexity index to... Each sampling point was evaluated individually. The curvature complexity index of each sampling point is calculated according to the following formula: In the formula For the first The curvature complexity index of each sampling point and as well as The weighting coefficients and , For the first The average curvature value within the neighborhood of each sampling point The maximum curvature value in the curvature distribution data. For the first The curvature gradient at each sampling point This represents the maximum absolute value of the curvature gradient in the curvature distribution data. For the first The change in the angle between the tangents on both sides of each sampling point This represents the maximum change in the tangent angle among all sampling points. The ratios of the three terms in the formula are all dimensionless. It is a dimensionless quantity.

[0012] Curvature gradient Calculate according to the following formula: In the formula and The first The and the first The curvature value of each sampling point Let be the arc length between adjacent sampling points, and the dimension of the curvature gradient is . .

[0013] Change in the angle of the tangent direction Calculate according to the following formula: In the formula For the first The angle between the tangent at each sampling point and the horizontal direction. For the first The parameter values ​​corresponding to each sampling point.

[0014] The computing device calculates all After calculating the curvature complexity index of each sampling point, the curvature segment division threshold is calculated according to the following formula: The computing device compares the curvature complexity exponent differences of adjacent sampling points sequentially, starting from the first sampling point. Greater than At the time The sampling point and the first Curvature segment boundaries are set between each sampling point, and all curvature segment boundaries divide the canopy roof into multiple curvature segments.

[0015] In the above example of canopy roof calculation, take and as well as Calculations yielded The curvature complexity index changes less near the arch and more near the support. Ultimately, the canopy roof is divided into three curvature sections: one curvature section on each side of the arch, covering areas with smaller curvature values, and one curvature section near the support, covering areas with larger curvature values.

[0016] After the curvature segments are divided, the computing device maps the wooden template segment data to the corresponding curvature segments. The wooden template segment data records the start and end positions and segment numbers of each wooden template along the arc direction. The computing device reads the segment number from the wooden template segment data. Midpoint arc coordinates of the block wood template And normalize it according to the following formula: In the formula and These are the coordinates of the arcs connecting the midpoints of the first and last wooden templates, respectively. For the first Normalized position coordinates of the block wood template and The computing device is determined according to the following formula: Curvature section number of the block wood template: In the formula The total number of curvature segments. For the first The curvature segment number of the block wood template mapping.

[0017] To avoid a single wooden template spanning adjacent curvature segments where the curvature characteristic difference exceeds a threshold, the computing device further calculates the mapping fit for each wooden template. The mapping fit of the block wood template is calculated according to the following formula: In the formula For the first The average curvature value of the curvature distribution data within the coverage area of ​​the block wood template. Number The average curvature value of the curvature distribution data within the curvature segment. For mapping fit and , The closer the value is to 1, the closer the curvature characteristics of the wooden template are to the curvature segment it belongs to.

[0018] The computing device takes the mapping fit threshold. ,when Greater than or equal to The time mapping holds true when Less than The computing device splits the wooden template segment data into two segments at the point where the wooden template crosses the boundary of the curvature section and maps them to the curvature sections on both sides respectively. The two segments of wooden template segment data are then independently used in subsequent calculations.

[0019] In the above example of canopy roof, the segmented data of wooden templates includes a total of 9 wooden templates, each with a length of 1358 along the arc direction. Among them, the mapping fit of 8 wooden templates is greater than 0.85, and the mapping fit of 1 wooden template located at the boundary between the arch curvature section and the support curvature section is 0.71. The computing device splits this wooden template into two segments at the boundary of the curvature section and maps them separately.

[0020] After the mapping relationship is established, the computing device establishes the coordinate mapping relationship between the wooden template segment data and the curvature segment. The coordinate mapping relationship records the correspondence between the segment number and the curvature segment number of each wooden template segment data, as well as the local arc coordinates of the wooden template segment data within the curvature segment.

[0021] After establishing the coordinate mapping relationship, the computing device divides the segmented data of the wooden template into multiple computing units according to the coordinate mapping relationship. The computing unit is the smallest discrete unit for mechanical solution in the wooden template reinforcement calculation model. The computing device determines the size of the computing unit at each location according to the curvature complexity index. The size of the computing unit is calculated according to the following formula: In the formula To calculate the unit size, The lower limit of the calculation unit size is set to 150. The upper limit of the calculation unit size is set to 450. To calculate the curvature complexity exponent at the location of the computational unit, when hour ,when hour The larger the curvature complexity index, the smaller the computational unit size. This approach results in smaller unit sizes for locations with large curvature changes, reducing the computational deviation in subsequent mechanical solutions at locations with large curvature changes.

[0022] The computing device is determined according to the following formula: Number of calculation units within the block formwork segment data: In the formula For the first The arc length of the block wood template segment data. For the first The calculation unit size at the location of the block formwork segment data. For the first The number of calculation units for dividing the block formwork segmentation data; the calculation equipment operates within the block formwork segmentation data according to... Divide the calculation into units of equal arc length and assign a unit number to each unit.

[0023] In the above example of a canopy roof, the curvature complexity index near the arch is approximately 0.15, and the computational unit size is... Each wooden template is divided into 4 computational units. The curvature complexity index near the support is approximately 0.82. The size of the computational unit is... Each wooden template is divided into 7 calculation units, and all the wooden template segment data is divided into 48 calculation units.

[0024] After the computational units are divided, the computing device assigns surface geometric parameters to each computational unit based on the arc surface design data. These parameters include the coordinates of the two end nodes of the computational unit, the curvature value of the midpoint of the computational unit, and the included angle of the tangents at the midpoint of the computational unit. The computing device interpolates the end node coordinates from the arc surface design data according to the arc position of the end nodes of the computational unit. Calculate the curvature value of the point in the unit. The tangent angle at the midpoint of the computational cell is obtained by interpolation from the curvature distribution data. according to The calculation yielded, where This is the parameter value corresponding to the point in the calculation unit.

[0025] The surface geometry parameters define the spatial position and geometry of each computational unit on the curved surface of the canopy roof. When subsequent concrete pouring load data is applied, the load direction is along the surface normal, which is formed by the angle between the tangents. Rotate 90 degrees to confirm.

[0026] The computing device assigns template cross-sectional parameters to each computing unit based on the template segmentation data. The template segmentation data records the thickness and width dimensions of each template piece. The computing device reads the thickness dimensions from the template segment data to which the computing unit belongs. and width dimensions And calculate the moment of inertia of the cross section of the calculation unit according to the following formula: In the formula Let be the moment of inertia of the cross section of the calculation element, with dimensions . The moment of inertia of the cross section characterizes the ability of the wooden formwork cross section to resist bending deformation. After the subsequent concrete pouring load data is loaded into the wooden formwork reinforcement calculation model, the calculation equipment combines the elastic modulus and the moment of inertia of the cross section in the formwork material stiffness data to calculate the bending stiffness of the calculation unit.

[0027] In the above example of canopy roof calculation, the thickness of the wooden formwork is 15 mm, the width of the wooden formwork is 200 mm, and the moment of inertia of the section is calculated according to... Calculated .

[0028] After the surface geometry parameters and template section parameters are assigned, the computing device sets up node connection relationships between each computing unit according to the curvature change direction of the curvature section. Adjacent computing units are connected at the common end node by a rotation spring. The rotation stiffness of the rotation spring is determined according to the curvature change direction and curvature change amplitude of the computing units on both sides of the end node.

[0029] The computing device first determines the direction of change of curvature values ​​on both sides of the end node. Greater than When the curvature increases along the arc direction, Less than When the curvature decreases along the arc direction, equal When the curvature remains unchanged, the computing device forces node connections at the end nodes where the direction of curvature change reverses in order to capture the curvature reversal effect.

[0030] For end nodes within the same curvature segment, the rotational stiffness of the rotational spring is taken as the reference rotational stiffness. The reference rotational stiffness is initially determined based on the wooden template specifications recorded in the wooden template segment data and updated after subsequent template material stiffness data is loaded. For end nodes located at the boundary of curvature segments, the rotational stiffness of the rotational spring is calculated according to the following formula: In the formula Number The rotational stiffness of the spring at the end node. and These are the curvature values ​​of the computational units on both sides of the end node. The stiffness amplification factor is set to 1.5. As the reference rotational stiffness, the ratio Therefore, it is a dimensionless quantity. and The dimensions are consistent.

[0031] The greater the amplitude of curvature change on both sides of the curvature section boundary, the greater the rotational stiffness of the spring. This treatment increases the rotational stiffness of the node connection at locations with large curvature changes, thus constraining local bending deformation. In the above canopy roof example, the curvature values ​​on both sides of the end node at the boundary between the arch curvature section and the support curvature section are 0.0126 and 0.0198, respectively, with a ratio of... The rotational stiffness amplification factor is That is, the rotational stiffness of the node at the boundary is 1.46 times the reference rotational stiffness.

[0032] After the node connection relationships are set, the computing device determines the boundary constraints of the canopy roof based on the arc-shaped surface design data. The arc-shaped surface design data records the boundary positions and connection methods between the canopy roof and the main structure. The computing device classifies the boundaries into three types: boundaries rigidly connected to the main structure are fixed edges, where the linear and angular displacements of the end nodes are constrained to 0; boundaries hinged to the main structure are simply supported edges, where the linear displacement of the end nodes is constrained to 0 and the angular displacement is free; and boundaries not connected to the main structure are free edges, where no constraints are applied to the end nodes. The computing device applies the boundary constraints in the form of spring stiffness according to the following formula: In the formula Number The linear displacement spring stiffness at the boundary. For the baseline displacement stiffness, the fixed edge is... The displacement stiffness of the reference line is approximately a rigid constraint, and the rotational spring stiffness is taken at the fixed edge. Set the value to 0 at simply supported edges and free edges.

[0033] In the above example of a canopy roof, the supports on both sides of the canopy roof are rigidly connected to the main structure as fixed edges, and the front edge of the canopy roof is a free edge. After the boundary constraints are applied, the calculation model for the reinforcement of the wooden formwork is established. The calculation model for the reinforcement of the wooden formwork includes the surface geometric parameters and formwork section parameters of all calculation units, as well as the node connection relationship and boundary constraints between calculation units. The segmented data of the wooden formwork are correlated with the curvature sections through coordinate mapping. The adaptive calculation unit size driven by the curvature complexity index and the variable stiffness node connection at the boundary of the curvature section enable the calculation model for the reinforcement of the wooden formwork to have a higher solution resolution in the location of large curvature changes. When the concrete pouring load data and the stiffness data of the formwork material are subsequently loaded into the calculation model for the reinforcement of the wooden formwork, the computing device can perform mechanical solutions on the discrete calculation units and obtain the out-of-plane deformation trend, main force position and inflection point force state corresponding to the segmented data of the wooden formwork.

[0034] The correspondence between the segmented data of the wooden formwork and the changes in roof curvature is the basis for locating the load transfer path and deformation calculation in the wooden formwork reinforcement calculation model. If the boundary of the wooden formwork segment crosses the location of abrupt curvature change, the calculation results of the subsequent out-of-plane deformation trend at the segment boundary will be deviated. The calculation equipment first calculates the curvature value of the canopy roof at each position along the arc direction based on the arc surface design data. The arc surface design data uses the arc length parameter. The cross-sectional curve describing the canopy roof is given by the coordinates of any point on the curve. and Arc length parameter From 0 to Monotonically increasing along the arc direction and Given the total length of the arc, the calculation device calculates the arc length parameter according to the following formula. Curvature value at the corresponding position: In the formula and They are respectively and right The first derivative, and They are respectively and right The second derivative, due to the arc length parameter When performing parameterization The curvature value is always true. The dimensions are The computing device is spaced at equal arc length intervals along the arc direction. Pick Calculate each location and calculate them one by one. The curvature value at each calculated location, The curvature values ​​at each calculation location are arranged along the arc direction to form a curvature value sequence. Taking a canopy roof as an example, the total length of the arc... computing devices A total of 101 calculation locations were obtained, and the curvature values ​​were calculated from the vault position. The value of 0.0083 at the point continuously changes along the arc direction to the support position. 0.0251 at the location.

[0035] After obtaining the curvature value sequence, the computing device determines the curvature change gradient based on the difference between curvature values ​​at adjacent positions. The curvature change gradient characterizes the rate and direction of change of curvature values ​​along the arc direction. The computing device calculates the first value using the arc length weighted central difference method according to the following formula. Gradient of curvature change at each computational location: In the formula and The first The and the first The curvature value at each calculated location, and The first The and the first Arc length coordinates at each calculation location, curvature gradient The dimensions are , A value greater than 0 indicates that the curvature value increases along the arc direction. A value less than 0 indicates that the curvature decreases along the arc direction. A value of 0 indicates that the curvature value remains unchanged.

[0036] For the first and last calculation positions, the computing device uses forward differencing and backward differencing to calculate the curvature change gradient, respectively. and .

[0037] In the above example of canopy roof calculation, the curvature gradient changes from near the arch. Gradually increases along the arc direction, in Nearby It then continued to increase until it reached the vicinity of the support. The fact that the curvature gradient is greater than 0 throughout the entire section indicates that the curvature value continuously increases from the arch to the support.

[0038] After determining the curvature change gradient, the computing device determines the curvature boundary position of the roof curvature change based on the curvature change gradient. The curvature boundary position is the location where the curvature value change trend reverses or the curvature change gradient amplitude exceeds a threshold. The computing device introduces a curvature boundary index to evaluate each calculation position. The curvature boundary index at each calculation location is calculated according to the following formula: In the formula For the first The curvature boundary index at each calculation location, This represents the maximum value of the absolute value of the curvature change gradient. and The weighting coefficients and , For indicator functions, when The time indicator function taking a value of 1 indicates that the curvature change gradient is at the th moment. When the sign is reversed on both sides of the calculation position, that is, the curvature value changes from increasing to decreasing or from decreasing to increasing, when... The time indicator function takes a value of 0, and both terms in the formula are dimensionless. It is a dimensionless quantity.

[0039] The calculation device takes the curvature boundary threshold. ,when Greater than or equal to Time The calculated locations were determined as curvature boundary locations, when... Less than Time The calculated location is not the curvature boundary location.

[0040] In the above example of canopy roof calculation, take and as well as The calculation results show The absolute value of the curvature change gradient is and The ratio of the first term is The curvature gradient at Since no sign reversal occurred on either side, the second term is 0. Greater than 0.55 The curvature boundary position was determined to be the location where the curvature boundary index was less than 0.55 at all other calculated locations.

[0041] After the curvature boundary positions are determined, the computing device reads the segment boundary positions of each segment from the wood template segmentation data. The wood template segmentation data records the starting and ending arc length coordinates of each wood template along the arc direction. The common boundary of adjacent wood templates is the segment boundary position. The location of each segment boundary is denoted as .

[0042] The computing device aligns the segment boundary positions with the curvature boundary positions, and the alignment process is calculated according to the following formula: Alignment deviation between segment boundary positions and the nearest curvature boundary position: In the formula For the first The arc length coordinates of each curvature boundary position For alignment deviation and the dimension is .

[0043] The computing device takes the alignment deviation threshold. ,when Less than or equal to The time segment boundary position and the curvature boundary position are already aligned and do not require adjustment. Greater than The time-based computing device adjusts the segment boundary positions according to the following formula: In the formula The adjusted segment boundary positions, Distance The arc length coordinates of the nearest curvature boundary. To adjust the coefficient and , The time segment boundary position is directly moved to the curvature boundary position.

[0044] After adjustment, the computing device verifies the segment length constraint according to the following formula: In the formula This is the lower limit of the segment length. This is the upper limit for the segment length. The adjustment takes effect when the adjusted segment length meets the constraints; if the adjusted segment length does not meet the constraints, the computing device gradually reduces the length. And recalculate Until the segment length meets the constraint or A value reduced to 0 indicates that alignment cannot be achieved near the curvature boundary by moving a single segment boundary.

[0045] In the above example of canopy roof calculation, the segmented data of the wooden formwork includes a total of 9 wooden formwork pieces. The original segment boundary positions are 0, 1358, 2716, 4074, and 5432, and the subsequent positions every 1358. The curvature boundary positions are also included. The closest point to the segment boundary is 4074. ,Pick and as well as and After adjustment The lengths of adjacent segments are respectively and 2084 is greater than And 632 is less than None of the constraints are met, and the computing device is selected. Recalculate The length of adjacent segments is and Both 1721 and 995 are within the range of 800 to 2000, and the adjusted segment boundary position is determined to be 4437.

[0046] like Figure 3 As shown, the curvature value gradually increases along the arc direction from 0.0083 near the arch to 0.0251 near the support. The curvature change gradient reaches its peak near s=4800. There is a deviation between the original curvature boundary position marked by the red dashed line and the nearest segment boundary position. After alignment, the segment boundary is moved to the position marked by the green solid line at s=4437 so that the segment boundary coincides with the curvature boundary position. The gray vertical dashed lines are the positions of each segment boundary after alignment, and the pink filled area is the area where curvature changes are concentrated.

[0047] After the segment boundary positions are aligned, the computing device generates segment curvature identifiers for each segment in the wooden template segment data based on the magnitude of the curvature change gradient. These segment curvature identifiers record the degree of curvature change at the corresponding segment's location. The computing device first calculates the curvature of the segment according to the following formula. Piecewise average curvature and piecewise average gradient of curvature values ​​within each segment: In the formula For the first Calculate the number of positions within each segment. The piecewise average curvature with dimensions is , The piecewise average gradient has the following dimensions: .

[0048] The computing device generates the piecewise curvature identifier and the piecewise curvature direction identifier according to the following formula: In the formula For the first The segmented curvature identifier is a dimensionless quantity. The maximum value in the curvature value sequence. This represents the maximum value of the absolute value of the curvature change gradient. These are the gradient weight coefficients. For segmented curvature direction identification, This indicates that the curvature value within the segment increases along the arc direction. This indicates that the curvature value within the segment decreases along the arc direction. This indicates that the curvature value remains unchanged within the segment.

[0049] Segmented curvature markings It includes both the normalized value of the piecewise average curvature and the normalized value of the piecewise average gradient. Compared with the identification method that only records the magnitude of the curvature value, the piecewise curvature identification can distinguish segments with similar curvature values ​​but different rates of curvature change. The determination of the calculation unit size and node rotation stiffness in the subsequent wooden formwork reinforcement calculation model is based on the piecewise curvature identification.

[0050] In the above example of canopy roof calculation, take Segmented vault and ,according to Calculated and Segmentation near the curvature boundary and ,according to Calculated and .

[0051] After generating the segmented curvature labels, the computing device compares and verifies the segmented curvature labels of each segment in the wooden template segmentation data with the curvature values ​​at corresponding positions in the curved surface design data. The essence of this comparison and verification is to check whether the average curvature of the segments in the segmented curvature labels can represent the curvature values ​​at all calculated positions within the segment. The computing device first calculates the curvature value according to the following formula... Standard deviation of curvature values ​​within each segment: In the formula For the first The standard deviation of the curvature values ​​within each segment, with dimensions of . The computing device calculates the first according to the following formula. The segment curvature consistency index of each segment: In the formula It is a piecewise curvature uniformity index and is a dimensionless quantity. The range of values ​​is , The closer it is to 1, the smaller the dispersion of curvature values ​​within a segment and the higher the representativeness of the segment average curvature to the curvature values ​​within the segment.

[0052] Computing devices take a consistency threshold ,when Greater than or equal to When the comparison and verification are consistent, Less than The time comparison and verification were inconsistent.

[0053] When the comparison and verification are inconsistent, the computing device is in the [missing information]. The deviation of the positioning curvature value within each segment The farthest calculation position is used as the candidate boundary point. The nearest segment boundary position is then adjusted by moving the segment boundary position towards this calculation position and re-verifying it according to the segment length constraint. After the segment boundary position is adjusted, the computing device recalculates the adjusted segment. and Then, the piecewise curvature identifiers are regenerated and the piecewise curvature consistency index is recalculated. This adjustment and regeneration process is repeated iteratively until the piecewise curvature consistency index of all segments is greater than or equal to the sum of its parts. .

[0054] In the above example of canopy roof calculation, take In the initial verification, the segments near the curvature boundary were... and ,according to Calculated The calibration passed with a value greater than 0.90. However, a segment near the support still had residual deviations in its distance from the curvature boundary after adjustment. and ,according to Calculated The check is inconsistent if the value is less than 0.90, indicating that the curvature value within this segment is deviated by the calculation device. The furthest calculation position is determined, and the adjacent segment boundary positions are moved 68 to this calculation position. After recalculation, Decreased to 0.0019 and ,according to Calculated The validation passed when the value was greater than 0.90, and the iteration ended.

[0055] After the iteration, a correspondence is established between each segment in the timber formwork segment data and the curvature change of the roof. The segment boundary position of each segment is aligned with the curvature boundary position, and the segment curvature identifier records the degree of curvature change at the segment position. After the correspondence is established, each segment in the timber formwork segment data has a definite curvature range and curvature change direction in the timber formwork reinforcement calculation model. When the subsequent concrete pouring load data is loaded, the calculation equipment can match the corresponding calculation parameters for different segments according to the segment curvature identifier, thereby avoiding deformation calculation deviations caused by the segment boundary crossing the curvature change position.

[0056] The conversion of concrete pouring load data into surface load distribution data is the input basis for mechanical calculations. The canopy roof is an arc-shaped surface. When the vertical concrete pouring load acts on the inclined wooden formwork surface, it needs to be decomposed into components along the normal and tangential directions of the surface. The calculation equipment first calculates the angle between the surface normal and the vertical direction at various positions along the arc of the canopy roof based on the arc-shaped surface design data, and the arc length parameter. The tangent vector is The angle between the surface normal and the vertical direction Calculate according to the following formula: In the formula The unit is rad. The calculation equipment will record the vertical uniformly distributed load in the concrete pouring load data. It can be decomposed into normal surface load and tangential surface load according to the following formula: In the formula For normal surface loads with dimensions of , The load is a tangential surface load with dimensions of . , For construction dynamic loads.

[0057] During the pouring process, the dynamic loads generated by equipment vibration and personnel movement increase at locations with greater curvature due to stress wave reflection and concentration effects from the curved surface. The calculation equipment calculates the curvature-related dynamic loads using the following formula: In the formula The reference value for construction dynamic load and its dimensions are , Let be the curvature dynamic amplification factor and take , Arc length parameter The curvature value at that point, The ratio is the maximum curvature. Therefore, it is a dimensionless quantity. and Dimensionally consistent. Normal surface load. This causes the wooden formwork to undergo bending deformation perpendicular to the board surface, resulting in tangential loads. This causes the wooden formwork to tend to slip along the board surface and induces shear forces at the segment boundaries. The surface load distribution data is calculated from all calculated locations. and It is arranged along an arc.

[0058] Taking a canopy roof as an example, the vertical uniformly distributed load recorded in the concrete pouring load data... Construction dynamic load benchmark value Curvature dynamic amplification factor vault position and ,according to Calculated and Support position and ,according to Calculated ,according to Calculated .

[0059] After the surface load distribution data is generated, the computing device assigns the formwork material stiffness data to each segment corresponding to the segment data of the wooden formwork in the wooden formwork reinforcement calculation model. The formwork material stiffness data records the elastic modulus of the wooden formwork. The segmented data of the wooden formwork records the thickness dimensions of the wooden formwork. and width dimensions The computing device calculates the bending stiffness of each computing unit according to the following formula: In the formula For computing unit The bending stiffness and the dimensionless value are .

[0060] The computing device uses the angle between the tangents at the midpoint of each computing unit. The stiffness matrix of the assembly element; there is a rotation angle between the local coordinate system and the global coordinate system of the computational element on the curved surface. The element stiffness matrix is ​​transformed according to the following formula: In the formula Here is the stiffness matrix of the straight beam element in the local coordinate system. To and The relevant coordinate transformation matrix, This is the element stiffness matrix in the transformed global coordinate system.

[0061] The computing device will include all computing units Assembled into an overall stiffness matrix according to element number and node number. The surface load distribution data is then transformed into an equivalent nodal load vector through beam element shape function integration, and the element load vector is calculated. The equivalent nodal load vector is calculated according to the following formula: In the formula For the shape function matrix of the beam element, For element local coordinates and , For computing unit Length, The equivalent nodal force includes both tangential and normal surface loads.

[0062] All computing devices will Assembled into a global load vector Then, the mechanical solution calculation is performed according to the following formula: In the formula Given the nodal displacement vectors, the computing device solves for them using Gaussian elimination. Obtain the horizontal displacement components of all nodes. and vertical displacement components .

[0063] The computing device further calculates the bending moment and bending stress of each computing unit based on the nodal displacements. The bending moment is calculated according to the following formula: In the formula This is the curvature displacement relation matrix. From The extracted computational units Node displacement vector The dimensions are Computing unit The bending stress is calculated according to the following formula: In the formula The dimensions are .

[0064] The nodal displacements and bending stresses of all computational elements are arranged along the arc direction to form displacement response data and stress distribution data, respectively. The displacement response data records the displacement components of each node in the global coordinate system, while the out-of-plane deformation is the component of the displacement along the normal direction of the surface. The computing device calculates the nodes according to the following formula. Deformation amount: In the formula For nodes The deformation along the normal of the surface, with dimensions of , For nodes The unit tangent vector at that point, For unit normal vector, A value greater than 0 indicates that the deformation occurs along the direction of the outward normal to the surface. A value less than 0 indicates that the deformation occurs along the direction of the in-surface normal. A value of 0 indicates that displacement is impossible. The computing device determines the out-of-plane deformation trend based on the variation of deformation along the arc direction. To filter out local numerical fluctuations caused by differences in the size of the computing units and retain the trend characteristics caused by curvature changes, the computing device uses a curvature-adaptive bandwidth weighted moving least squares method. The fitting bandwidth is determined according to the following formula: In the formula Arc length parameter The fitting bandwidth at point and the dimension is , and These represent the upper and lower limits of bandwidth, respectively. The larger the curvature value, the smaller the bandwidth, thus preserving local deformation characteristics. The smaller the curvature value, the larger the bandwidth, thus filtering out numerical fluctuations.

[0065] The fitted curve is calculated according to the following formula: In the formula The out-of-plane deformation trend curve has dimensions of , The variation pattern along the arc direction is the out-of-plane deformation trend.

[0066] The out-of-plane deformation trend serves as the basis for determining the parameters of the arc-shaped main keel and the arrangement parameters of the secondary keel in subsequent steps. The peak position corresponds to the location where the arc-shaped main keel needs to be reinforced. The gradient direction corresponds to the load transfer direction of the secondary keel. In the above example of canopy roof, we take... and The position of the vault is according to Calculated The fitting results show that the deformation is 3.2 at the arch crown and gradually increases to 5.8 along the arc towards the support. The out-of-plane deformation trend is at the curvature boundary. The slope increases in the vicinity.

[0067] The stress distribution data records the bending stress of each calculation unit. The computing device determines stress concentration regions by sorting the stress values ​​in the stress distribution data. To distinguish between locations with large stress values ​​and locations where the stress value changes rapidly within a local area, the computing device introduces a stress concentration index to evaluate each calculation unit. The stress concentration index is calculated according to the following formula: In the formula It is a stress concentration index and is a dimensionless quantity. This represents the maximum stress value in the stress distribution data. For computing unit Stress gradient at the location, The maximum value of the absolute value of the stress gradient. These are the gradient weighting coefficients. The stress gradient is calculated according to the following formula: In the formula The dimensions are .

[0068] The computing device will include all computing units Sort by stress concentration threshold from largest to smallest ,when Greater than or equal to Time calculation unit It belongs to the stress concentration area, when Less than Time calculation unit If a data point does not belong to a stress concentration region, the computing device will merge consecutive data points belonging to stress concentration regions into a single stress concentration region and then combine the data points within that region. The largest calculation unit is located at the main force-bearing position.

[0069] The stress concentration index considers both the magnitude of the stress value and the rate of change of the stress value between adjacent calculation units. Compared with sorting by stress value only, it can identify locations where the absolute value of the stress value is not large, but the rate of change of the stress value in a local area is large.

[0070] In the above example of canopy roof calculation, take and The calculation results show that the calculation unit near the support and , and ,according to Calculated Calculation unit near curvature boundary and ,according to Calculated Both positions are greater than And it was determined to be the main force-bearing location.

[0071] The computing device determines the curvature inflection point of the canopy roof based on the arc-shaped surface design data. The curvature inflection point is the location where the curvature gradient exhibits an extreme value along the arc direction. The curvature gradient is denoted as... The extreme values ​​of the curvature change gradient satisfy The computing device calculates according to the discrete curvature value sequence. Judgment No. The calculated location is the curvature inflection point. The gradient of curvature change is represented in the th case. The calculation position changes from increasing to decreasing or from decreasing to increasing on both sides.

[0072] The stress state at the curvature inflection point affects the calculation units within a certain range on both sides. The calculation device determines the curvature inflection point location according to the following formula. Half-width of the influence area: In the formula The influence area is half-width and has dimensions of , The average size of all computational cells. Location of curvature inflection point The curvature gradient at that point This represents the maximum absolute value of the curvature change gradient.

[0073] The computing device extracts the curvature inflection point locations on both sides of the calculation model for the reinforcement of wooden formwork. The bending stress of all calculation elements within the range is calculated, and the average stress of the affected area is calculated according to the following formula: In the formula Location of curvature inflection point The set of computing units within the affected area. for The number of computing units in the middle, The average stress in the affected area has dimensions of . .

[0074] The computing device simultaneously extracts the bending moment at the curvature inflection point. and shear force The average stress, bending moment, and shear force in the affected area together constitute the stress state at the inflection point. The stress state at the inflection point serves as the basis for verifying the parameters of the arc-shaped main keel, the arrangement parameters of the secondary keel, and the locking parameters of the nodes in subsequent steps. Compared with the stress value of a single node, the average stress in the affected area can reflect the overall stress level near the curvature inflection point, thus avoiding the distortion of the verification results due to the numerical deviation of a single calculation unit.

[0075] In the above example of canopy roof calculation, the curvature gradient is... An extreme value appears nearby. and as well as ,according to Calculated The affected area covers to Within the range of three calculation units, the bending stresses of the three calculation units are 2.8, 3.1, and 2.9, respectively. Calculated ,like Figure 4 As shown, the out-of-plane deformation trend gradually increases from 3.2 at the arch crown along the arc direction to 5.8 at the support. The red dashed line represents the allowable deformation limit [w] = 5, and the pink filled area represents the region where the out-of-plane deformation exceeds the allowable deformation limit. The stress distribution peaks near the curvature boundary due to stress concentration and reaches its maximum value of 4.8 near the support. The two main load-bearing locations near the curvature boundary and the support, as well as the inflection point s = 480°, are... Figure 4 Each is marked separately.

[0076] After determining the out-of-plane deformation trend, the main stress location, and the stress state at the inflection point, the loading calculation process of the concrete pouring load data and the stiffness data of the formwork material in the wooden formwork reinforcement calculation model is completed. The out-of-plane deformation trend records the deformation distribution law of each segment along the normal of the curved surface corresponding to the segmented data of the wooden formwork. The main stress location marks the node positions that need to be locked in the stress concentration area. The stress state at the inflection point records the stress level and internal force state at the location with a large curvature change gradient. The three output results are used as the basis for determining the arc-shaped main keel parameters and the secondary keel arrangement parameters, as well as the basis for checking the node locking parameters, in subsequent steps.

[0077] After determining the out-of-plane deformation trend and the location of the main stress, the computing equipment needs to convert the deformation distribution characteristics into keel parameters and locking parameters that can be directly used for construction. The degree of correspondence between the parameters and the deformation characteristics directly affects the formwork surface fit and joint sealing. The computing equipment first extracts the deformation peak value and deformation peak value location of each segment of the wooden formwork from the out-of-plane deformation trend. The out-of-plane deformation trend is fitted with a curve. The form records the normal deformation at each position along the arc direction. Using arc length coordinates, the calculation device identifies the peak deformation using the following formula: In the formula For the first The location of the deformation peak. Recorded as peak deformation And the dimensions are At discrete fitting nodes, the computing device follows... and Judgment No. Each node is a candidate location for the deformation peak. To eliminate false peaks caused by numerical fluctuations, the computing device calculates the peak prominence at each candidate location using the following formula: In the formula and The first The first deformation valley position found along the arc direction on both sides of the deformation peak. The peak salience and its dimension is The computing device takes the peak salience threshold. ,when Greater than or equal to The peak deformation value is retained when Less than The peak value of time deformation is filtered out as a numerical fluctuation.

[0078] Taking a certain canopy roof as an example, the out-of-plane deformation trend Starting from 3.2 at the arch position, increase along the arc direction towards the support, and take... The computing device identified six deformation peak locations. Place , Place , Place , Place , Place , Place .

[0079] After the location of the deformation peak is determined, the computing equipment determines the radius of curvature of the arc-shaped main keel in the parameters of the arc-shaped main keel based on the deformation peak and the arc-shaped surface design data. The arc-shaped surface design data records the design curvature of the canopy roof at various positions along the arc direction. The radius of curvature of the arc-shaped main keel needs to be superimposed on the design curvature to ensure that the wooden formwork conforms to the design curved surface after deformation under the concrete pouring load. The calculation equipment first calculates the spacing of the arc-shaped main keel between adjacent deformation peak positions according to the following formula: In the formula For the first The spacing between the arc-shaped main keels is given by the dimension of . .

[0080] The computing device calculates the first according to the following formula. Average span at each deformation peak location: In the formula For the first The spacing of the arc-shaped main keel arrangement is taken as the position of the first deformation peak. For the last deformation peak position, take , This represents the total number of peak deformation values.

[0081] The computing device calculates the deformation compensation curvature according to the following formula: In the formula For deformation compensation curvature and dimensionless , The allowable normal deformation for the molding of simulated fair-faced concrete, with dimensions of _____. , For compensation index and take The coefficient 9.6 is derived from the relationship between mid-span deflection and maximum curvature of a simply supported beam under uniformly distributed load. Export.

[0082] when Less than or equal to hour When the value is less than or equal to 1, the deformation compensation curvature is not amplified to avoid overcompensation. Greater than hour If the value is greater than 1, the nonlinearity of the deformation compensation curvature increases to control residual deformation after casting.

[0083] The computing device calculates the radius of curvature of the arc-shaped main keel according to the following formula: In the formula For the first The radius of curvature of the arc-shaped main keel at each deformation peak location, with dimensions of [missing information]. , Design data for curved surfaces The curvature of the position.

[0084] The radius of curvature of the curved main keel is used to guide the bending process of the curved main keel. The radius of curvature of the curved main keel in its free state after bending is: After the concrete is poured, the wooden formwork undergoes normal deformation. The pre-compensation curvature of the arc-shaped main keel offsets the curvature change caused by the deformation, so that the formwork surface fits the design surface requirements.

[0085] In the above example of canopy roof calculation, take and ,by For example, and , , ,according to Calculated ,according to Calculated .

[0086] The spacing of the arc-shaped main keel arrangement is directly determined by the difference in arc length between adjacent deformation peak positions, as shown in the above example. and as well as and as well as The computing device will and Included in the parameters of the arc-shaped main keel.

[0087] After the parameters of the arc-shaped main keel are determined, the calculation equipment calculates the deformation attenuation between the spacing of adjacent arc-shaped main keels based on the out-of-plane deformation trend. The deformation attenuation is the difference between the deformation trough between two adjacent deformation peaks and the higher deformation peak. The calculation equipment then... and Search between satisfying and Deformation valley location The deformation attenuation is calculated according to the following formula: In the formula For the first The deformation attenuation of the span and its dimension is .

[0088] The deformation attenuation reflects the extent to which the deformation of the wooden formwork decreases from the peak value to the trough value between the spacing of the arc-shaped main keel. The greater the deformation attenuation, the more uneven the deformation distribution within the span, and the greater the deformation control role that the secondary keel needs to play.

[0089] The computing device determines the secondary keel spacing in the secondary keel layout parameters according to the following formula: In the formula For the first The spacing of the secondary keel arrangement across the span and the dimension of , Let be the spacing coefficient and take .

[0090] when When it is 0 This indicates that the deformation within the span is uniform and no secondary keel is needed. When the denominator increases, the denominator increases. Decreasing the spacing indicates that the secondary joists are denser. The spacing of the secondary joists is used during construction to determine the number of secondary joists arranged in each span. The number of secondary keels within the span is according to Calculation. In the above example of canopy roof calculation, take... Taking the second span as an example, Place , Place Deformation valley location Place ,according to Calculate the deformation attenuation according to Calculated The number of secondary keels in the second span is .

[0091] After determining the spacing of the secondary keel arrangement, the gradient direction of the out-of-plane deformation trend is extracted by the calculation equipment. The gradient direction is calculated according to the following formula: In the formula The gradient of the out-of-plane deformation trend along the arc direction is a dimensionless quantity. A value greater than 0 indicates that the deformation increases along the arc direction. A value less than 0 indicates that the deformation decreases along the arc direction. A value of 0 indicates no change in the deformation.

[0092] The computing device determines the secondary keel layout direction in the secondary keel arrangement parameters based on the gradient direction. The secondary keel layout direction is represented by the angle between the secondary keel and the horizontal direction. The reference direction is the direction perpendicular to the tangent of the arc-shaped main keel. The computing device calculates the secondary keel layout direction according to the following formula: In the formula For the arc-shaped main keel The angle between the tangents at the position, Perpendicular to the direction of the curved main keel, The maximum value of the absolute value of the gradient. The maximum deflection angle is expressed in rad. The secondary keel is deflected toward the arc-shaped main keel in the direction of increased deformation to shorten the load transfer path.

[0093] when hour The secondary keel is arranged in the following direction. That is, strictly perpendicular to the arc-shaped main keel, the arrangement direction of the secondary keel is used in construction to determine the orientation of the intersection node between the secondary keel and the arc-shaped main keel, so that the secondary keel is arranged along the load transfer direction.

[0094] In the above example of canopy roof calculation, take That is, 5°, with For example, and and ,according to Calculated That is, 99.8°.

[0095] After the parameters of the arc-shaped main keel and the secondary keel arrangement parameters are determined, the calculation equipment determines the locking node position in the node locking parameters according to the main stress position. The calculation equipment directly uses the arc length coordinate of each main stress position as the locking node position. When the main stress position is given in the form of a continuous stress concentration area, the calculation equipment takes the midpoint of the calculation unit with the largest stress concentration index in the stress concentration area as the locking node position. The locking node position is used to determine the installation position of fasteners or locking bolts during construction.

[0096] The computing device extracts the stress values ​​corresponding to the main load-bearing locations in the calculation model for the reinforcement of wooden formwork. The locking torque level in the node locking parameters is determined based on the stress value. To ensure that the locking torque reflects both the stress magnitude and the stress concentration, the calculation equipment calculates the locking node position using the following formula. Stress concentration correction factor at: In the formula This is a stress concentration correction factor and is dimensionless. To lock the node position Stress gradient at the location, The maximum value of the absolute value of the stress gradient. For the centralized correction coefficient and take .

[0097] The calculation device calculates the locking torque using the following formula: In the formula To lock the node position The locking torque at the point and its dimension is , The torque coefficient, The nominal diameter of the locking part and its dimension is , The reference load area of ​​a single locking element, with dimensions of , Dimensions are ,therefore Dimensions are .

[0098] Computing devices will According to the preset torque range, different locking torque levels are divided. Greater than or equal to The locking torque rating is level 3. Greater than or equal to and less than The locking torque rating is level 2. Less than The tightening torque rating is Class 1. The tightening torque rating is used to control the tightening torque of fasteners or locking bolts during construction.

[0099] In the above example of canopy roof calculation, take and as well as and Taking the main load-bearing location near the support as an example, and as well as ,according to Calculate the correction factor according to Calculated Taking the location of the principal force near the curvature boundary as an example, and ,according to Calculate the correction factor according to Calculated ,Pick and The locking torque level near the support is level 3, and the locking torque level near the curvature boundary is level 2.

[0100] After the curvature radius of the arc-shaped main keel, the spacing of the arc-shaped main keel, the spacing and direction of the secondary keel, the location of the locking nodes, and the locking torque level are all determined, the parameters of the arc-shaped main keel, the arrangement parameters of the secondary keel, and the locking parameters of the nodes are fully established. In subsequent steps, these three parameters, together with the joint pressing parameters and the inflection point support parameters, generate the reinforcement parameter determination results. The deformation compensation curvature enables the arc-shaped main keel to offset the normal deformation of the wooden formwork after pouring. The variable spacing arrangement of the secondary keel driven by the deformation attenuation makes the deformation distribution within each span tend to be uniform. The stress concentration correction coefficient makes the locking torque increase synchronously at the location of large stress gradient to control local deformation.

[0101] After the parameters of the arc-shaped main keel, the secondary keel arrangement parameters, and the node locking parameters are determined, they need to be checked in the timber formwork reinforcement calculation model to verify whether the three parameters can ensure that the joint sealing state and the stress state at the inflection point meet the control requirements. The calculation equipment first inputs the arc-shaped main keel parameters, the secondary keel arrangement parameters, and the node locking parameters into the timber formwork reinforcement calculation model. During the input process, the arc-shaped main keel arrangement spacing in the arc-shaped main keel parameters is converted into the normal support at each deformation peak position along the arc direction in the timber formwork reinforcement calculation model. The arc-shaped main keel curvature radius in the arc-shaped main keel parameters is converted into the initial pre-arch curvature of the timber formwork reinforcement calculation model. The secondary keel arrangement spacing in the secondary keel arrangement parameters is converted into the elastic support between adjacent arc-shaped main keels. The locking node position in the node locking parameters is converted into the rotation spring setting position in the timber formwork reinforcement calculation model. The locking torque level in the node locking parameters is converted into the rotation spring stiffness according to the following formula: In the formula To lock the node position The rotational spring stiffness at the point and its dimension is , The locking torque corresponding to the locking torque level and with dimensions of , The node is allowed to rotate and its unit is rad.

[0102] After inputting the three parameters, the computing device reassembles the overall stiffness matrix and follows... The updated nodal displacement vectors are obtained by resolving the problem. .

[0103] After parameter input and re-solution, the computing device extracts the joint positions between adjacent segments from the wood template segment data. The wood template segment data records the start and end points of each wood template along the arc direction. The end point of the block formwork and the first The point where the starting points of the timber formwork overlap is the joint position, denoted as . .

[0104] The calculation equipment extracts the joint opening amount at the joint location in the timber formwork reinforcement calculation model under the action of concrete pouring load data. The two sides of the joint location belong to two adjacent timber formwork pieces. The difference in normal displacement and rotation angle between the two timber formwork pieces at the joint location will cause the joint to open. The calculation equipment then... Extract the normal displacements of the nodes on the left and right sides of the seam. and and corners and ,in Indicates the left side of the seam position. This indicates the right side of the seam location. The seam opening is calculated using the following formula: In the formula For the first The seam opening at each seam location, with dimensions of... , The thickness of the wooden template is given by the dimension . The first term represents the translational opening caused by the difference in normal displacement, and the second term represents the rotational opening caused by the difference in rotation angle. The wooden template is half-thick, and the corner difference causes the joint to form a wedge-shaped opening on the surface of the wooden template.

[0105] The joint opening includes both translational and rotational components. Compared to calculating only the displacement difference, it can reflect the opening of the joint surface caused by the rotational angle difference. After obtaining the joint opening, the calculation device compares the joint opening with the joint sealing constraint conditions. The joint sealing constraint conditions record the allowable opening at each joint position. The allowable opening is the maximum gap that the joint seal can tolerate in the molding requirements of imitation fair-faced concrete.

[0106] when Less than or equal to When the joint opening meets the joint sealing constraint conditions, Greater than When the joint opening does not meet the joint sealing constraint conditions, a joint clamping force needs to be applied. The calculation equipment calculates the joint clamping force based on the joint opening and the joint sealing constraint conditions. The joint clamping force is applied to the joint position through the clamping element to close the joint gap to within the allowable range. The joint sealing material exhibits nonlinear hardening characteristics during the compression process. The calculation equipment calculates the joint clamping force per unit length according to the following formula: In the formula For the first The unit length of the seam clamping force at each seam location, with dimensions of . , The stiffness coefficient of the sealing material is and its dimensions are . , For the nonlinear index of the sealing material and take To reflect the pressure hardening characteristics of the sealing material, The preload per unit length and its dimension is ,when hour The seam clamping force retains only the preload. To maintain the minimum contact pressure required for a joint seal, when The nonlinear term is involved in the calculation, and the seam clamping force increases nonlinearly with the deviation of the opening amount.

[0107] The preload per unit length is calculated using the following formula: In the formula The minimum contact pressure required for joint sealing, with dimensions of , The width of the sealing material and its dimension is The calculation equipment determines the spacing of the clamping points based on the distance along the arc direction of the seam. The spacing of the clamping points is the distance between two adjacent clamping components along the length of the seam. To obtain denser clamping points in areas with larger seam openings, the calculation equipment calculates the spacing of the clamping points according to the following formula: In the formula For the first The spacing between the pressing points at each seam location, with dimensions of [missing information]. , The upper limit of the spacing between the clamping points and the dimension is , The spacing index is taken as... .

[0108] when hour ,when The spacing between clamping points decreases as the opening increases, and the clamping force of a single clamping point is calculated according to the following formula: In the formula The joint clamping force at a single clamping point, with dimensions of Seam clamping force Spacing between pressing points These parameters constitute the joint clamping parameters, which are used during construction to determine the type and spacing of clamping components, as well as the tightening torque.

[0109] Taking a canopy roof as an example, the thickness of the wooden formwork... Width of sealing material The joint sealing constraint conditions are given. ,Pick and as well as and and After inputting the arc-shaped main keel parameters, secondary keel arrangement parameters, and node locking parameters into the timber formwork reinforcement calculation model and resolving, the difference in normal displacement on both sides of the joint near the curvature boundary is 1.8 and the difference in rotation angle is 0.04. Calculated Greater than 1.5, according to Calculated ,according to Calculated ,according to Calculated For the remaining seam locations, the seam opening is between 0.6 and 1.0, all less than 1.5. The seam clamping force retains only the pre-tightening force of 10, and the clamping point spacing is 600.

[0110] After the joint clamping parameters are determined, the calculation equipment determines the inflection point position from the inflection point stress state and extracts the stress amplitude at the inflection point position. The inflection point stress state records the average stress in the influence zone of each curvature inflection point position. and bending moment and shear force and half width of the affected area The calculation device takes the maximum value of the bending stress within the affected area as the stress amplitude: In the formula For the first The stress amplitude at each inflection point, with dimensions of . , For the set of calculation units within the affected area, the calculation equipment calculates the inflection point support reaction force to balance the stress at the inflection point location based on the stress amplitude. The inflection point support reaction force needs to balance the bending moment and shear force at the inflection point location simultaneously. The bending moment generates equivalent reaction forces on both sides of the inflection point location, while the shear force is directly borne by the support. The calculation equipment calculates the inflection point support reaction force according to the following formula: In the formula For the first The inflection point support reaction force at each inflection point has dimensions of , The total length of the affected area with dimensions of , The equivalent reaction force generated by the bending moment on both sides of the influence zone has dimensions of . , The absolute value of the shear force has dimensions of . , Let be the stress gradient amplification factor and take... , This represents the stress gradient at the inflection point. This represents the maximum absolute value of the stress gradient.

[0111] The stress gradient amplification factor provides a larger inflection point support reaction force at locations with a high rate of stress change to cope with stress concentration. When the magnification factor is 1, the support reaction force at the inflection point only balances the bending moment and shear force. The calculation equipment determines the spacing of the support points based on the distribution of the inflection point positions along the arc direction. The difference in arc length between adjacent inflection point positions is the spacing of the support points. In the formula For the first The spacing between the support points is given by the dimension. , For the first The arc length coordinates of each inflection point are used to calculate the stress control spacing using the following formula, to avoid exceeding the maximum spacing for stress control by arranging support points: In the formula For the first The stress control spacing at each inflection point, with dimensions of [missing information]. , The reference spacing is and its dimension is , The allowable stress of the wooden formwork is in the dimensionless formwork. ,when Less than or equal to The spacing of the support points is taken as follows ,when Greater than Real-time computing devices and Between according to Insert intermediate support points at equal intervals until the distance between adjacent support points is less than or equal to the required distance. Inflection point support reaction force Spacing between support points These parameters constitute the inflection point support parameters, which are used during construction to determine the specifications of the support components at the inflection point, the location of the support point, and the magnitude of the support force.

[0112] In the above example of canopy roof calculation, the inflection point location Maximum bending stress within the average stress range of the affected area Bending moment and shear force and half the width of the affected area stress gradient and ,Pick ,according to Calculated ,Pick and ,according to Calculated The distance between adjacent inflection points is 5700, which is greater than 2540. The computing device inserts two intermediate support points between the two inflection points so that the distance between the support points is about 1900.

[0113] After the joint clamping parameters and inflection point support parameters are determined, the verification process is completed. The joint calculation formula for the translational and rotational components of the joint opening amount ensures that the verification of the joint sealing state covers two deformation modes: displacement difference and rotation angle difference. The nonlinear sealing material hardening model ensures that the joint clamping force is consistent with the actual mechanical behavior of the sealing material. The inflection point support reaction force amplified by the stress gradient ensures that the stress concentration location receives sufficient support. In subsequent steps, the joint clamping parameters and inflection point support parameters, together with the arc-shaped main keel parameters, secondary keel arrangement parameters, and node locking parameters, generate the reinforcement parameter determination results.

[0114] When the joint sealing constraint is not met, the parameters of the arc-shaped main keel and the node locking parameters need to be adjusted in reverse. If the reverse adjustment is done by trial and error, the number of iterations will be large and the convergence direction will be unclear. The calculation equipment uses the perturbation method to quantify the influence of the arc-shaped main keel parameters and the node locking parameters on the joint opening and calculates the correction amount accordingly, so that each reverse adjustment has a clear numerical basis.

[0115] The computing device first extracts the joint positions between adjacent segments from the segmented data of the wooden template. The joint positions are denoted as... The computing device extracts the joint opening corresponding to the joint position in the calculation model for the reinforcement of wooden formwork. The calculation method for the joint opening is consistent with the verification process, which includes both the difference in normal displacement on both sides of the joint position and the rotational opening caused by the difference in angle. The calculation equipment calculates the difference between the joint opening and the joint sealing constraint conditions. The allowable opening recorded in the joint sealing constraint conditions is denoted as... The joint sealing deviation is calculated according to the following formula: In the formula For the first The joint sealing deviation at each joint location, with dimensions of [missing information]. , A value greater than 0 indicates that the seam opening exceeds the allowable opening and requires reverse adjustment. A value less than or equal to 0 indicates that the joint opening meets the joint sealing constraint conditions and no adjustment is needed.

[0116] Joint sealing deviation To provide target values ​​for subsequent correction calculations, reverse adjustments need to reduce the seam opening. To return to the allowable range, the calculation device keeps the node locking parameters unchanged and applies a unit perturbation to the arc-shaped main keel parameters. The arc-shaped main keel spacing directly affects the density of the normal supports in the timber formwork reinforcement calculation model, thus affecting the joint opening. The calculation device uses the arc-shaped main keel spacing as the perturbation object for the arc-shaped main keel parameters, and adjusts the arc-shaped main keel spacing... Normalization ,in The reference spacing has the dimension of . computing devices Apply normalized unit perturbation and take respectively and Keep the node locking parameters unchanged, and and Input the wood formwork reinforcement calculation model again and solve it to extract the joint positions. Seam opening under two disturbance states and The influence coefficient of the main keel is calculated using the central difference method according to the following formula: In the formula For the parameters of the arc-shaped main keel, the first The influence coefficient of the main keel on the joint opening at each joint location is (dimension: [not specified]). , Let be the normalized perturbation and take .

[0117] The sign of the main keel influence coefficient indicates the direction of influence. A value greater than 0 indicates that the seam opening increases when the spacing of the curved main keel arrangement increases. A value less than 0 indicates that the joint opening decreases when the spacing of the arc-shaped main keel increases. Compared with the single-sided forward differential, the central differential eliminates the second-order truncation error, making the influence coefficient closer to the true partial derivative. The calculation equipment keeps the arc-shaped main keel parameters constant and applies a unit perturbation to the node locking parameters. The locking torque level in the node locking parameters determines the rotational spring stiffness, thus affecting the angle difference on both sides of the joint position. As the perturbation object of the node locking parameters, the locking torque is normalized to ,in For reference locking torque and with dimensions of ,exist Apply normalized unit perturbation and take respectively and Keeping the parameters of the curved main keel unchanged, the two disturbance states are input into the wood formwork reinforcement calculation model for re-solving, and the joint positions are extracted. Seam opening under two disturbance states and The node locking influence coefficient is calculated according to the following formula: In the formula For the node locking parameters, the first The dimensionless coefficient of the locking effect of the joint opening at each joint location is: , A value greater than 0 indicates that the seam opening increases as the locking torque increases. A value less than 0 indicates that the opening of the seam decreases when the locking torque increases.

[0118] To account for the coupling effect when the parameters of the arc-shaped main keel and the node locking parameters change simultaneously, the computing device further calculates the coupling influence coefficient according to the following formula: In the formula The dimensions of the coupling influence coefficient are: , The normalized parameters of the arc-shaped main keel are: And the node locking normalization parameter is The splice opening amount output by the calculation model for strengthening wooden formwork.

[0119] when Less than The time coupling effect can be ignored when When the value is not less than the threshold, the coupling effect is included in the correction calculation. After the influence coefficient of the main keel, the node locking influence coefficient, and the coupling influence coefficient are determined, the calculation equipment calculates the correction amount of the main keel parameters of the arc-shaped main keel based on the joint sealing deviation and the influence coefficient of the main keel. The calculation equipment calculates the normalized main keel parameter correction amount according to the following formula: In the formula To normalize the main keel parameter correction amount, Let be the relaxation factor and take The relaxation factor reduces the amount of each correction proportionally to avoid overcorrection that could cause oscillations.

[0120] The main keel parameter correction amount is converted into the actual correction amount for the arc-shaped main keel arrangement spacing according to the following formula: In the formula The dimensionless value is the correction amount for the spacing of the arc-shaped main keel. .

[0121] The computing device performs a reverse correction on the parameters of the curved main keel based on the main keel parameter correction amount. The reverse correction is performed according to the following formula: In the formula The corrected spacing for the curved main keel arrangement.

[0122] The computing device calculates the normalized node locking parameter correction amount according to the following formula: In the formula To normalize the node locking parameter correction, the node locking parameter correction is converted into the actual correction of the locking torque according to the following formula: In the formula The locking torque correction quantity has the dimensionless value. The computing device performs reverse correction on the node locking parameters based on the node locking parameter correction amount: In the formula The corrected locking torque is given in the corrected formula. and The sign automatically determines the correction direction when Greater than 0 and When greater than 0 A value less than 0 indicates a reduction in the spacing of the curved main keel arrangement to increase support density and thus reduce the seam opening. Less than 0 and When greater than 0 A value greater than 0 increases the locking torque to enhance rotational constraint and thus reduce the seam opening.

[0123] The computing equipment sets limits on the correction amount to avoid excessive single correction. The limit for the correction amount of the arc-shaped main keel arrangement spacing is set as follows: The limit for the locking torque correction is taken as 0.5 times the difference between adjacent locking torque levels. or If the limit is exceeded, the limit value is taken as the actual correction amount and it is marked that another iteration is needed.

[0124] When multiple joint sealing deviations exist simultaneously at different joint locations, the calculation device calculates the deviation for each joint location separately. and And perform a weighted summation according to the following formula: In the formula As a weighting factor, joints with larger sealing deviations are allocated a larger proportion of the correction amount.

[0125] Taking a certain canopy roof as an example, the seam near the curvature boundary... seam opening And allowable opening amount Joint sealing deviation ,Pick and as well as and Current spacing of the arc-shaped main keel Right now Current locking torque Right now .

[0126] Keep the node locking parameters unchanged. Apply a disturbance, correspond hour , correspond hour ,according to Calculated .

[0127] Keeping the parameters of the arc-shaped main keel unchanged Apply a disturbance, correspond hour , correspond hour ,according to Calculated .

[0128] The calculated coupling effect coefficient is 0.3, which is less than... Ignore it, according to Calculated ,according to Calculated Corrected spacing of the arc-shaped main keel ,according to Calculated ,according to Calculated Corrected locking torque ,like Figure 6 As shown, the three-dimensional surface is the response surface of the joint opening amount as the normalized arc-shaped main keel parameters and normalized node locking parameters change. The joint opening amount increases with the increase of the normalized arc-shaped main keel parameters and decreases with the increase of the normalized node locking parameters. The black dots are the discrete data points of the numerical simulation. The initial working point with a joint opening amount of 2.1 marked by a red asterisk is located above the allowable opening amount of 1.5 marked by the red semi-transparent plane. The corrected working point with a joint opening amount of 1.3 marked by a green asterisk is located below the allowable opening amount plane. The blue dashed arrow indicates the direction of parameter correction.

[0129] The corrected parameters of the curved main keel and the node locking parameters are reloaded into the timber formwork reinforcement calculation model for the next round of verification iterations until the joint opening meets the joint sealing constraint conditions. The central difference perturbation method quantifies the sensitivity direction and magnitude of the two parameters to the joint opening. Normalization allows for proportional allocation of parameter corrections of different dimensions. Relaxation factors and correction limits ensure convergence of the iteration process. Compared with blind trial-and-error adjustments, this method reduces the number of iterations and provides a clear numerical basis for the correction direction. Figure 5As shown in the upper half, the red dots represent the seam opening at each seam position before verification. Near the curvature boundary, the seam opening reaches 2.1, exceeding the allowable opening [Δ] = 1.5 marked by the red dotted line. The green squares represent the seam opening after reverse adjustment. Near the curvature boundary, the seam opening decreases to 1.3, satisfying the seam sealing constraint. The pink filled area represents the region where the seam opening exceeded the allowable opening before verification. Figure 5 The sealing deviation of the lower half of the joint decreases exponentially with the number of iterations and drops below the convergence threshold of 0.05 after the second iteration.

[0130] The adjusted parameters of the arc-shaped main keel, the adjusted node locking parameters, the secondary keel layout parameters, the joint tightening parameters, and the inflection point support parameters are output in different calculation steps. To generate the reinforcement parameter determination results, these five parameters need to be structured and summarized according to the construction location so that construction personnel can directly read all the reinforcement parameters for the corresponding location based on the segment number. The calculation equipment first reads the segment number of each segment from the timber formwork segment data. Each timber formwork piece in the timber formwork segment data corresponds to a segment number, which is denoted as [segment number]. in As the segment number, the computing device uses the segment number as the position index and establishes a mapping relationship between the position index and the arc length coordinate according to the following formula: In the formula For the first The position index of each segment and The first The starting and ending coordinates of each segment along the arc direction, with dimensions of... The position index binds the segment number to the arc length range, enabling subsequent parameter allocation to automatically match the corresponding segment according to the arc length position.

[0131] After the location index is established, the computing device will allocate the adjusted arc-shaped main keel parameters to the corresponding segments of the wooden formwork segment data according to the location index. The adjusted arc-shaped main keel parameters include the arc-shaped main keel curvature radius and the arc-shaped main keel arrangement spacing, and are segmented along the arc direction with the deformation peak position as the boundary. When a segment is completely located within an arc-shaped main keel segment, the computing device will directly allocate the segment parameters to the segment. When a segment spans two arc-shaped main keel segments, the computing device will allocate the parameters according to the following formula with weighted average based on the overlap length: In the formula To be allocated to the first The adjusted parameters of the arc-shaped main keel for each segment For the first Parameter values ​​for each arc-shaped main keel section, For the first The segment and the first The overlap length of each arc-shaped main keel section, with dimensions of Summation and traversal of the first digit All overlapping arc-shaped main keel sections.

[0132] The computing device calculates the configuration reliability using the following formula: In the formula The reliability of the allocation is dimensionless. For the first The total length of each segment.

[0133] when When the value is greater than or equal to 0.8, the segmentation is mainly located within an arc-shaped main keel segment, and the weighted allocation result is based on the parameters of that segment. When the value is less than 0.8, the segment spans two arc-shaped main keel sections with similar overlap lengths. The weighted allocation allows the parameters to transition smoothly within the segment.

[0134] The secondary keel layout parameters and adjusted node locking parameters are allocated to each segment using the same position index and overlap length weighting method, and allocated to the 1st segment. The secondary keel arrangement parameters for each segment are denoted as follows: , allocated to the The adjusted node locking parameters for each segment are denoted as follows: .

[0135] After the three segmentation-level parameters are assigned, the computing device determines the joint position between adjacent segments from the wood template segmentation data. The joint position is the [number missing]. The end point of the segment and the first The coordinates of the coincident arc lengths of the starting points of each segment are... The computing device associates the seam clamping parameters with the seam position. These parameters include the seam clamping force and the spacing between clamping points, and are applied to adjacent segments along an arc centered on the seam position. The computing device calculates the association weight of the seam position with adjacent segments using the following formula: In the formula For the first The seam position is relative to the first The association weight of each segment and , For the first The coordinates of the midpoint arc length of each segment. For the first The spacing between the pressing points at each seam location. When When the joint compression parameter is greater than 0 Simultaneously associated with the first The segment and the first Each segment, when When the value is 0, if the distance between the seam position and the midpoint of the segment exceeds half the distance between the pressing points, no association will be performed.

[0136] After associating the joint clamping parameters, the calculation equipment determines the inflection point position from the inflection point stress state, and the inflection point position is denoted as... The computing device associates the inflection point support parameters with the inflection point location. These parameters include the inflection point support reaction force and the spacing between support points. The inflection point support parameters act along the arc direction centered on the inflection point on all segments within the influence area. The computing device calculates the influence weight of the inflection point location on each segment using the following formula: In the formula For the first The position of the inflection point is related to the first... The influence weight of each segment and , For the first The total length of the influence zone at each inflection point, with dimensions of . .

[0137] when Inflection point support parameter when greater than 0 Associated with the Each segment, when When the value is 0, the segment is located outside the influence zone of the inflection point and is not associated. After all five parameters are associated, the computing device summarizes the adjusted arc-shaped main keel parameters and secondary keel layout parameters, as well as the adjusted node locking parameters, along with the joint clamping parameters associated with the joint position and the inflection point support parameters associated with the inflection point position, based on the position index. Before summarizing, the computing device performs parameter completeness verification on each segment according to the following formula: In the formula For the first Completeness identifiers for each segment. This is an indicator function that takes the value 1 if the condition is true and 0 otherwise. This indicates that the adjusted parameters for the arc-shaped main keel have been assigned. This indicates that the secondary keel layout parameters have been assigned. This indicates that the adjusted node locking parameters have been assigned. This indicates that there are associated seam compression parameters. Indicates the existence of inflection point support parameters.

[0138] when Time Each segment has all five parameters complete, when The computing device outputs the missing parameter type and returns to the corresponding calculation step to retrieve it again. After the completeness check passes, the computing device further checks the consistency of the adjusted arc-shaped main keel parameters between adjacent segments according to the following formula: In the formula For the first The segment and the first The parameter consistency index between segments is a dimensionless quantity. When the value is greater than or equal to 0.85, the transition of parameters between adjacent segments is normal. When the value is less than 0.85, the difference in parameters between adjacent segments is too large. The computing device checks whether the weighted allocation of the overlap length is correct and reassigns it if necessary. After both the completeness and consistency checks pass, the computing device generates the set of segment reinforcement parameters according to the following formula: In the formula This is a set of parameters for segmented reinforcement. This represents the total number of segments in the timber formwork segmentation data. Each segment element includes a segment number, a location index, three segment-level parameters, and associated joint tightening parameters and inflection point support parameters. The joint tightening parameters and inflection point support parameters are accompanied by associated weights to indicate the degree of influence of the parameters on the segment. The calculation equipment generates reinforcement parameter determination results based on the segment reinforcement parameter set. The reinforcement parameter determination results use the segment number as the retrieval entry point. During construction, the curvature radius of the arc-shaped main keel, the spacing of the arc-shaped main keel, the spacing and direction of the secondary keel, the locking node position, and the locking torque level of the corresponding segment can be read according to the segment number. At the same time, the joint tightening force and the spacing of the tightening points at the joint position, as well as the inflection point support reaction force and the spacing of the support points at the inflection point position can be read.

[0139] Taking a canopy roof as an example, the segmented data of the wooden formwork contains 10 segments, numbered 1 to 10. Taking the second segment as an example, the arc length of the second segment ranges from 1358 to 2716, and the length is 1358. The overlap length between the second segment and the first arc-shaped main keel segment (0 to 2100) is 742, and the overlap length between the second segment and the second arc-shaped main keel segment (2100 to 4437) is 616. The confidence level is then configured. Less than 0.8, the spacing between the arc-shaped main keel sections in the first arc-shaped main keel section is 2100, and the spacing between the arc-shaped main keel sections in the second arc-shaped main keel section is 2337, according to... Calculated The midpoint of the second segment is 2037, and the association weights of the seam positions 1358 and 2716 are 0.50 and 0.50 respectively. The inflection point position 4800 is more than half the width of the influence area of ​​246 away from the midpoint of the second segment 2763, so the association weight is 0. Completeness indicator And consistency index Verification passed.

[0140] The segmented reinforcement parameter set reorganizes the parameters scattered in each calculation step into an integrated data structure indexed by the segment number according to the construction location. The weighted allocation of overlap length solves the parameter value problem when the segment crosses parameter sections. Completeness and consistency checks prevent missing or incorrectly allocated parameters from entering the construction stage. The reinforcement parameter determination results directly correspond to the wooden formwork segment number, enabling construction personnel to read all reinforcement parameters segment by segment without having to search across steps.

[0141] The adjusted parameters of the arc-shaped main keel, the adjusted node locking parameters, the secondary keel layout parameters, the joint tightening parameters, and the inflection point support parameters are output in different calculation steps. To generate the reinforcement parameter determination results, these five parameters need to be structured and summarized according to the construction location so that construction personnel can directly read all the reinforcement parameters for the corresponding location based on the segment number. The calculation equipment first reads the segment number of each segment from the timber formwork segment data. Each timber formwork piece in the timber formwork segment data corresponds to a segment number, which is denoted as [segment number]. in As the segment number, the computing device uses the segment number as the position index and establishes a mapping relationship between the position index and the arc length coordinate according to the following formula: In the formula For the first The position index of each segment and The first The starting and ending coordinates of each segment along the arc direction, with dimensions of... The position index binds the segment number to the arc length range, enabling subsequent parameter allocation to automatically match the corresponding segment according to the arc length position.

[0142] After the location index is established, the computing device will allocate the adjusted arc-shaped main keel parameters to the corresponding segments of the wooden formwork segment data according to the location index. The adjusted arc-shaped main keel parameters include the arc-shaped main keel curvature radius and the arc-shaped main keel arrangement spacing, and are segmented along the arc direction with the deformation peak position as the boundary. When a segment is completely located within an arc-shaped main keel segment, the computing device will directly allocate the segment parameters to the segment. When a segment spans two arc-shaped main keel segments, the computing device will allocate the parameters according to the following formula with weighted average based on the overlap length: In the formula To be allocated to the first The adjusted parameters of the arc-shaped main keel for each segment For the first Parameter values ​​for each arc-shaped main keel section, For the first The segment and the first The overlap length of each arc-shaped main keel section, with dimensions of Summation and traversal of the first digit All overlapping arc-shaped main keel sections.

[0143] The computing device calculates the configuration reliability using the following formula: In the formula The reliability of the allocation is dimensionless. For the first The total length of each segment.

[0144] when When the value is greater than or equal to 0.8, the segmentation is mainly located within an arc-shaped main keel segment, and the weighted allocation result is based on the parameters of that segment. When the value is less than 0.8, the segment spans two arc-shaped main keel sections with similar overlap lengths. The weighted allocation allows the parameters to transition smoothly within the segment.

[0145] The secondary keel layout parameters and adjusted node locking parameters are allocated to each segment using the same position index and overlap length weighting method, and allocated to the 1st segment. The secondary keel arrangement parameters for each segment are denoted as follows: , allocated to the The adjusted node locking parameters for each segment are denoted as follows: .

[0146] After the three segmentation-level parameters are assigned, the computing device determines the joint position between adjacent segments from the wood template segmentation data. The joint position is the [number missing]. The end point of the segment and the first The coordinates of the coincident arc lengths of the starting points of each segment are... The computing device associates the seam clamping parameters with the seam position. These parameters include the seam clamping force and the spacing between clamping points, and are applied to adjacent segments along an arc centered on the seam position. The computing device calculates the association weight of the seam position with adjacent segments using the following formula: In the formula For the first The seam position is relative to the first The association weight of each segment and , For the first The coordinates of the midpoint arc length of each segment. For the first The spacing between the pressing points at each seam location. When When the joint compression parameter is greater than 0 Simultaneously associated with the first The segment and the first Each segment, when When the value is 0, if the distance between the seam position and the midpoint of the segment exceeds half the distance between the pressing points, no association will be performed.

[0147] After associating the joint clamping parameters, the calculation equipment determines the inflection point position from the inflection point stress state, and the inflection point position is denoted as... The computing device associates the inflection point support parameters with the inflection point location. These parameters include the inflection point support reaction force and the spacing between support points. The inflection point support parameters act along the arc direction centered on the inflection point on all segments within the influence area. The computing device calculates the influence weight of the inflection point location on each segment using the following formula: In the formula For the first The position of the inflection point is related to the first... The influence weight of each segment and , For the first The total length of the influence zone at each inflection point, with dimensions of . .

[0148] when Inflection point support parameter when greater than 0 Associated with the Each segment, when When the value is 0, the segment is located outside the inflection point influence area and is not associated.

[0149] After all five parameters are associated with their positions, the computing device summarizes the adjusted arc-shaped main keel parameters and secondary keel layout parameters, as well as the adjusted node locking parameters, along with the joint clamping parameters associated with the joint positions and the inflection point support parameters associated with the inflection point positions, based on the position index. Before summarizing, the computing device performs parameter completeness verification on each segment according to the following formula: In the formula For the first Completeness identifiers for each segment. This is an indicator function that takes the value 1 if the condition is true and 0 otherwise. This indicates that the adjusted parameters for the arc-shaped main keel have been assigned. This indicates that the secondary keel layout parameters have been assigned. This indicates that the adjusted node locking parameters have been assigned. This indicates that there are associated seam compression parameters. Indicates the existence of inflection point support parameters.

[0150] when Time Each segment has all five parameters complete, when The device outputs the missing parameter type and returns to the corresponding calculation step to retrieve it again.

[0151] After the completeness check passes, the computing device further checks the consistency of the adjusted arc-shaped main keel parameters between adjacent segments using the following formula: In the formula For the first The segment and the first The parameter consistency index between segments is a dimensionless quantity. When the value is greater than or equal to 0.85, the transition of parameters between adjacent segments is normal. When the value is less than 0.85, the difference in parameters between adjacent segments is too large. The calculation device checks whether the weighted allocation of the overlap length is correct and reassigns it if necessary.

[0152] After both the completeness and consistency checks pass, the computing device generates a set of segmented reinforcement parameters according to the following formula: In the formula This is a set of parameters for segmented reinforcement. This represents the total number of segments in the wood template segmentation data. Each segment element contains a segment number and a location index, as well as three segment-level parameters and associated seam tightening parameters and inflection point support parameters. The seam tightening parameters and inflection point support parameters are accompanied by associated weights to indicate the degree of influence of the parameters on the segment.

[0153] The computing device generates reinforcement parameter determination results based on the segmented reinforcement parameter set. The reinforcement parameter determination results use the segment number as the retrieval entry point. During construction, the curvature radius of the arc-shaped main keel, the spacing of the arc-shaped main keel, the spacing and direction of the secondary keel, the locking node position, and the locking torque level of the corresponding segment can be read according to the segment number. At the same time, the joint clamping force and clamping point spacing at the joint position, as well as the inflection point support reaction force and support point spacing at the inflection point position, can be read.

[0154] Taking a canopy roof as an example, the segmented data of the wooden formwork contains 10 segments, numbered 1 to 10. Taking the second segment as an example, the arc length of the second segment ranges from 1358 to 2716, and the length is 1358. The overlap length between the second segment and the first arc-shaped main keel segment (0 to 2100) is 742, and the overlap length between the second segment and the second arc-shaped main keel segment (2100 to 4437) is 616. The confidence level is then configured. Less than 0.8, the spacing between the arc-shaped main keel sections in the first arc-shaped main keel section is 2100, and the spacing between the arc-shaped main keel sections in the second arc-shaped main keel section is 2337, according to... Calculated The midpoint of the second segment is 2037, and the association weights of the seam positions 1358 and 2716 are 0.50 and 0.50 respectively. The inflection point position 4800 is more than half the width of the influence area of ​​246 away from the midpoint of the second segment 2763, so the association weight is 0. Completeness indicator And consistency index Verification passed.

[0155] The segmented reinforcement parameter set reorganizes the parameters scattered in each calculation step into an integrated data structure indexed by the segment number according to the construction location. The weighted allocation of overlap length solves the parameter value problem when the segment crosses parameter sections. Completeness and consistency checks prevent missing or incorrectly allocated parameters from entering the construction stage. The reinforcement parameter determination results directly correspond to the wooden formwork segment number, enabling construction personnel to read all reinforcement parameters segment by segment without having to search across steps.

[0156] After the reinforcement parameters are determined, the construction application stage begins. In the construction application stage, the calculated parameters are converted into the installation position and installation accuracy of the reinforcement components on site, and a quality closed loop is formed through completion inspection. The reinforcement parameter determination results output by the calculation equipment are recorded with the segment number as the index for all reinforcement parameters of each segment. Construction personnel read the parameters segment by segment according to the segment number and perform reinforcement construction.

[0157] When bending and installing the curved main keel based on the adjusted curved main keel parameters determined from the reinforcement parameters, the adjusted curved main keel parameters include the radius of curvature of the curved main keel. Spacing between arc-shaped main keel Before bending, the calculation equipment calculates the arc-shaped main keel on the chord length according to the following formula. The lower arrow height: In the formula To calculate the height of the chord with dimensions of The chord height is the vertical distance between the midpoint of the arc-shaped main keel and the line connecting the two endpoints.

[0158] During the bending process, the construction workers follow the arc-shaped main keel at intervals of... Measuring the height of an actual chord The bending error is calculated using the following formula: In the formula This refers to bending error, which is dimensionless. For the number of measurement points, when When the radius of curvature of the arc-shaped main keel is less than or equal to the bending error limit, the requirement is met. Continue bending or correcting until the bending error exceeds the limit. The limit is met.

[0159] After the curved main keel is bent to a qualified standard, it is positioned and installed along the arc direction according to the spacing of the curved main keel. During installation, the spacing of the curved main keel is measured with the segment boundary position of each segment in the wood formwork segmentation data as the reference. The secondary keel is arranged and fixed according to the secondary keel arrangement parameters determined in the reinforcement parameter determination results. The secondary keel arrangement parameters include the secondary keel spacing. and secondary keel arrangement direction Construction workers mark the positions of the secondary keels between adjacent curved main keels according to the spacing of the secondary keels, and determine the intersection angle between the secondary keels and the curved main keels according to the arrangement direction of the secondary keels. Then, the secondary keels and the curved main keels are fixed at the intersection nodes.

[0160] Based on the adjusted node locking parameters determined from the reinforcement parameter determination results, node locking construction is carried out. The adjusted node locking parameters include the locking node location and locking torque level. Construction personnel install locking components at the locking node locations and apply locking torque according to the torque value corresponding to the locking torque level. The locking torque is checked point by point using a torque wrench. Based on the joint tightening parameters determined from the reinforcement parameter determination results, joint tightening and sealing construction is carried out on the joints between the corresponding segments of the wooden formwork. The joint tightening parameters include the joint tightening force. Spacing between pressing points Construction workers apply sealing material at the joint and arrange clamping parts according to the spacing of the clamping points. Each clamping part applies a clamping load according to the clamping force of the joint.

[0161] After determining the inflection point location from the stress state, the inflection point support parameters are determined based on the reinforcement parameters. The inflection point support parameters include the inflection point support reaction force. The spacing between support points and the installation of vertical support components at inflection points are determined. Construction workers then adjust the tightness of the supports according to the reaction force at the inflection points.

[0162] After the five construction procedures are completed, the calculation equipment determines the joint positions between adjacent segments from the segmented data of the wooden formwork and enters the completion inspection stage. The completion inspection involves actual measurement of the formwork surface fit and joint sealing status. The formwork surface fit is measured using a total station or 3D scanning equipment at fixed intervals along the arc direction to measure the actual coordinates of the wooden formwork surface. Compare the actual coordinates with the design coordinates in the arc surface design data. Compare the measurements and calculate the actual surface fit deviation using the following formula: In the formula For the first The measured surface fitting deviation at each measurement point has dimensions of . , To design the unit normal vector of the surface at the measurement point, the measured surface fitting deviation is the projection of the actual coordinate deviation onto the surface normal direction.

[0163] The calculation device calculates the segmented overall bonding deviation according to the following formula: In the formula For the first The overall fitting deviation of each segment, with dimensions of , This represents the maximum single-point deviation within the segment. The average deviation weighting coefficient is taken as follows: , For the first The number of measurement points within each segment is used to comprehensively control the local maximum deviation and the overall deviation level of the segment, taking into account the overall fit deviation.

[0164] The joint sealing condition is checked using a feeler gauge, which measures along the length of the joint at each joint location. The gap value at each point is calculated using the following formula to determine the measured joint gap: In the formula For the first The measured joint gap at each joint location, with dimensions of [missing information]. , For the first The gap value at each measurement point is used as the basis for determining the sealing status of the joint.

[0165] After the actual measurement is completed, the calculation equipment compares the measured surface fitting deviation and the measured joint gap with the molding requirements of the simulated fair-faced concrete. The molding requirements of the simulated fair-faced concrete specify the allowable surface fitting deviation. and allowable seam gaps .

[0166] when Less than or equal to and Less than or equal to When the formwork surface fits and the joints are sealed, the requirements for forming simulated fair-faced concrete are met. Greater than or Greater than Construction adjustments are required at this time.

[0167] Construction corrections are calculated based on the type of deviation, when... Greater than and Less than or equal to Only the adjusted parameters of the curved main keel are corrected. The correction amount for the curvature radius of the curved main keel is calculated according to the following formula: In the formula The radius of curvature correction for the arc-shaped main keel is given, and its dimensions are _____. , For the correction coefficient and take , The normal deviation is converted into a curvature radius correction amount. The negative sign indicates that the measured surface fit deviation is positive, that is, when the surface is convex, the curvature radius of the arc-shaped main keel is reduced to increase the pre-arch amount.

[0168] when Greater than and Less than or equal to When only the joint clamping parameters or the adjusted node locking parameters are corrected, the joint clamping force correction amount is calculated according to the following formula: In the formula The corrected seam clamping force with dimensions of , This is the compression correction coefficient.

[0169] The locking torque correction amount is calculated according to the following formula: In the formula The corrected locking torque has dimensions of . , This is the torque correction factor.

[0170] when Greater than and Greater than Simultaneously correct the parameters of the arc-shaped main keel, the joint tightening parameters, and the adjusted node locking parameters, and calculate the correction amount according to the above three formulas.

[0171] When the deviation is located within the influence zone of the inflection point, the calculation equipment simultaneously checks whether the inflection point support reaction force needs to be increased. The inflection point support reaction force correction is performed according to... Calculation, where To support the correction factor.

[0172] Construction workers corrected the curvature of the corresponding curved main keel according to the calibration amount, or reapplied the locking torque to the locking parts, or increased the clamping load on the clamping parts. After the calibration was completed, the measured surface fit deviation and measured joint gap were re-inspected and compared with the requirements for the molding of imitation fair-faced concrete. The calibration and re-inspection were carried out iteratively until the process was completed. Less than or equal to and Less than or equal to .

[0173] Taking a certain canopy roof as an example, the molding requirements for imitation fair-faced concrete are as follows: and After completion and testing, the section near the curvature boundary is segmented. Greater than 3 and corresponding seam position If it is greater than 1.5, take and as well as The current radius of curvature of the arc-shaped main keel Spacing between arc-shaped main keel ,according to Calculated That is, the radius of curvature of the arc-shaped main keel is reduced by 3.86, according to Calculated ,according to Calculated After adjusting the curvature of the arc-shaped main keel according to the correction amount and increasing the joint clamping force and locking torque, the construction workers re-inspected the work. Dropped to 2.6 and Even when reduced to 1.3, the limits are met. Parameter-driven construction correction ensures that each correction has a clear numerical calculation basis rather than being adjusted based on experience. The chord height verification during the bending stage, the normal deviation detection after completion, and the sub-parameter correction formulas together constitute a complete quality control closed loop from calculation to construction to inspection. Figure 7 As shown in the upper half, the red bars represent the overall fit deviation of each segment before construction correction. The overall fit deviation of segments 3 to 8 exceeds the allowable surface fit deviation [d]=3 marked by the red dashed line. The green bars represent the overall fit deviation after construction correction, and all segments meet the limit. Figure 7 The red columns in the lower half represent the measured joint gaps at each joint position before construction correction. The measured joint gap of joint 4 reaches 2.3, exceeding the allowable joint gap [g]=1.5 marked by the red dotted line. The green columns represent the measured joint gaps after construction correction, and all joint positions meet the limit.

[0174] Please see Figure 2 As shown, a second objective of this invention is to provide a system for determining the reinforcement parameters of a concrete wooden formwork for a canopy roof, comprising: a model building unit, a load calculation unit, a parameter determination unit, a verification and adjustment unit, and a result generation unit.

[0175] The foregoing has shown and described the basic principles, main features, and advantages of the present invention. Those skilled in the art should understand that the present invention is not limited to the above embodiments. The embodiments and descriptions in the specification are merely preferred examples and are not intended to limit the invention. Various changes and modifications can be made to the invention without departing from its spirit and scope, and all such changes and modifications fall within the scope of the present invention as claimed. The scope of protection of the present invention is defined by the appended claims and their equivalents.

Claims

1. A method for determining reinforcement parameters of concrete wooden formwork for canopy roofs, characterized in that: Includes the following steps: S1. Obtain the arc-shaped surface design data and wooden formwork segment data of the canopy roof. Based on the arc-shaped surface design data and wooden formwork segment data, establish a wooden formwork reinforcement calculation model so that the wooden formwork segment data corresponds to the roof curvature change. S2. Obtain concrete pouring load data and formwork material stiffness data, load the concrete pouring load data and formwork material stiffness data into the wooden formwork reinforcement calculation model, and obtain the out-of-plane deformation trend, main stress position and inflection point stress state corresponding to the segmented data of the wooden formwork. S3. Determine the parameters of the arc-shaped main keel and the arrangement parameters of the secondary keel according to the out-of-plane deformation trend. Determine the node locking parameters according to the main stress position. The parameters of the arc-shaped main keel are used to control the formwork surface fitting state. The arrangement parameters of the secondary keel are used to control the load transfer path. The node locking parameters are used to control local deformation. S4. Obtain the joint sealing constraint conditions. Based on the joint sealing constraint conditions and the stress state of the inflection point, check the parameters of the arc-shaped main keel, the arrangement parameters of the secondary keel, and the locking parameters of the nodes to obtain the joint compression parameters and the support parameters of the inflection point. When the check does not meet the joint sealing constraint conditions, adjust the parameters of the arc-shaped main keel and the locking parameters of the nodes in the opposite direction, and reload the adjusted parameters of the arc-shaped main keel and the locking parameters of the nodes into the wood formwork reinforcement calculation model. S5. Based on the adjusted parameters of the arc-shaped main keel, the secondary keel arrangement parameters, the adjusted node locking parameters, the joint pressing parameters, and the inflection point support parameters, the reinforcement parameter determination results are generated. The reinforcement parameter determination results are used to guide the reinforcement construction of the concrete wooden formwork for the canopy roof, so that the formwork surface fitting state and the joint sealing state meet the requirements for the molding of imitation fair-faced concrete.

2. The method for determining reinforcement parameters of concrete wooden formwork for canopy roofs according to claim 1, characterized in that: The step of establishing a timber formwork reinforcement calculation model based on the arc-shaped surface design data and timber formwork segmentation data includes: Curvature distribution data of the canopy roof is extracted from the arc surface design data. The canopy roof is divided into curvature segments according to the curvature distribution data to obtain multiple curvature segments. The wooden template segment data is then mapped to the corresponding curvature segments to establish a coordinate mapping relationship between the wooden template segment data and the curvature segments. The wooden template segmentation data is divided into multiple calculation units based on the coordinate mapping relationship. The surface geometric parameters are assigned to each calculation unit based on the arc surface design data, and the template cross section parameters are assigned to each calculation unit based on the wooden template segmentation data. Based on the curvature change direction of the curvature section, node connection relationships are set between each calculation unit. The boundary constraints of the canopy roof are determined based on the arc surface design data. The calculation model for the wooden formwork reinforcement is then established based on the boundary constraints.

3. The method for determining reinforcement parameters of concrete wooden formwork for canopy roofs according to claim 1, characterized in that: The process of establishing a correspondence between the segmented data of the wooden template and the changes in the curvature of the roof includes: The curvature values ​​of the canopy roof at each position along the arc direction are calculated based on the design data of the curved surface, and the curvature change gradient is determined based on the difference in curvature values ​​between adjacent positions. The curvature boundary position of the roof curvature change is determined based on the curvature change gradient. The segment boundary position of each segment is read from the segmented data of the wooden template, and the segment boundary position is aligned with the curvature boundary position. Based on the magnitude of the curvature change gradient, segment curvature identifiers are generated for each segment in the segmented data of the wooden template. The segment curvature identifiers are used to record the degree of curvature change at the corresponding segment location. The curvature indicators of each segment in the wood formwork segment data are compared and verified with the curvature values ​​at the corresponding positions in the curved surface design data. If the comparison and verification are inconsistent, the segment boundary positions of the corresponding segments in the wood formwork segment data are adjusted and the segment curvature indicators are regenerated until each segment in the wood formwork segment data and the roof curvature change form a corresponding relationship.

4. The method for determining reinforcement parameters of concrete wooden formwork for canopy roofs according to claim 1, characterized in that: The process of loading concrete pouring load data and formwork material stiffness data into the timber formwork reinforcement calculation model yields the out-of-plane deformation trend, principal stress location, and inflection point stress state corresponding to the segmented data of the timber formwork, including: The concrete pouring load data is converted into surface load distribution data according to the arc-shaped curved surface distribution of the canopy roof, and the surface load distribution data is applied to the wooden formwork reinforcement calculation model. The stiffness data of the template material is assigned to each segment corresponding to the segment data of the wooden template in the wooden template reinforcement calculation model. The mechanical solution calculation of the wooden template reinforcement calculation model is performed to obtain the displacement response data and stress distribution data of each segment corresponding to the segment data of the wooden template. The deformation of each segment along the normal direction of the curved surface is extracted based on the displacement response data, and the out-of-plane deformation trend is determined based on the variation law of the deformation along the arc direction. The stress concentration areas are determined by sorting the stress values ​​in the stress distribution data and locating the stress concentration areas as the main stress locations. The curvature inflection point of the canopy roof is determined based on the arc surface design data. The stress values ​​corresponding to the curvature inflection point in the wooden formwork reinforcement calculation model are extracted to obtain the stress state of the inflection point.

5. The method for determining reinforcement parameters of concrete wooden formwork for canopy roofs according to claim 1, characterized in that: The process of determining the parameters of the arc-shaped main keel and the secondary keel arrangement based on the out-of-plane deformation trend, and determining the node locking parameters based on the main stress position, includes: Extract the deformation peak and position of each segment of the wooden template from the out-of-plane deformation trend. Determine the curvature radius of the arc main keel in the arc main keel parameters based on the deformation peak and the arc surface design data. Determine the arc main keel arrangement spacing in the arc main keel parameters based on the distribution spacing of the deformation peak positions along the arc direction. The deformation attenuation between the spacing of adjacent arc-shaped main keels is calculated based on the out-of-plane deformation trend. The spacing of the secondary keels in the secondary keel arrangement parameters is determined based on the deformation attenuation. The gradient direction of the out-of-plane deformation trend is extracted. The arrangement direction of the secondary keels in the secondary keel arrangement parameters is determined based on the gradient direction. The locking node position in the node locking parameters is determined based on the main load-bearing position. The stress value corresponding to the main load-bearing position in the wooden formwork reinforcement calculation model is extracted. The locking torque level in the node locking parameters is determined based on the stress value.

6. The method for determining reinforcement parameters of concrete wooden formwork for canopy roofs according to claim 1, characterized in that: The parameters of the arc-shaped main keel, the arrangement parameters of the secondary keel, and the node locking parameters are checked based on the joint sealing constraint conditions and the stress state of the inflection point to obtain the joint clamping parameters and the inflection point support parameters, including: Input the parameters of the arc-shaped main keel, the secondary keel arrangement parameters, and the node locking parameters into the timber formwork reinforcement calculation model. Extract the joint position between adjacent segments from the timber formwork segment data. Extract the joint opening amount of the joint position in the timber formwork reinforcement calculation model under the action of concrete pouring load data. The joint opening is compared with the joint sealing constraint conditions. The joint clamping force is calculated based on the joint opening and the joint sealing constraint conditions. The spacing of the clamping points is determined based on the spacing of the joint positions along the arc direction. The joint clamping force and the spacing of the clamping points constitute the joint clamping parameters. The inflection point location is determined from the stress state of the inflection point, and the stress amplitude at the inflection point location is extracted. The inflection point support reaction force used to balance the stress at the inflection point location is calculated based on the stress amplitude. The spacing of the support points is determined based on the distribution of the inflection point location along the arc direction. The inflection point support reaction force and the spacing of the support points constitute the inflection point support parameters.

7. The method for determining reinforcement parameters of concrete wooden formwork for canopy roofs according to claim 1, characterized in that: When the verification does not meet the joint sealing constraint conditions, the parameters of the arc-shaped main keel and the node locking parameters are adjusted in reverse, including: Extract the joint positions between adjacent segments from the segmented data of the wooden formwork, extract the joint opening amount corresponding to the joint position in the wooden formwork reinforcement calculation model, calculate the difference between the joint opening amount and the joint sealing constraint condition, and obtain the joint sealing deviation amount. Keeping the node locking parameters unchanged and applying a unit disturbance to the arc-shaped main keel parameters, extract the change value of the joint opening corresponding to the joint position in the wood formwork reinforcement calculation model, and determine the main keel influence coefficient of the arc-shaped main keel parameters on the joint opening based on the ratio of the change value of the joint opening to the unit disturbance. Keeping the parameters of the arc-shaped main keel unchanged and applying a unit disturbance to the node locking parameters, the change value of the joint opening corresponding to the joint position in the wood formwork reinforcement calculation model is extracted. The node locking influence coefficient of the node locking parameters on the joint opening is determined according to the ratio of the change value of the joint opening to the unit disturbance. The correction amount of the main keel parameters is calculated based on the joint sealing deviation and the influence coefficient of the main keel, and the correction amount of the main keel parameters is then used to reverse the correction of the main keel parameters. The node locking parameter correction amount is calculated based on the joint sealing deviation and the node locking influence coefficient, and the node locking parameter is then corrected in reverse based on the node locking parameter correction amount.

8. The method for determining reinforcement parameters of concrete wooden formwork for canopy roofs according to claim 1, characterized in that: The process of generating reinforcement parameter determination results based on the adjusted arc-shaped main keel parameters, secondary keel arrangement parameters, adjusted node locking parameters, joint tightening parameters, and inflection point support parameters includes: Read the segment number of each segment from the segment data of the wooden template, and use the segment number as the position index; The adjusted arc-shaped main keel parameters are assigned to each segment corresponding to the wooden formwork segment data according to the position index. The secondary keel layout parameters are assigned to each segment corresponding to the wooden formwork segment data according to the position index. The adjusted node locking parameters are assigned to each segment corresponding to the wooden formwork segment data according to the position index. Determine the joint position between adjacent segments from the segmented data of the wooden template, and associate the joint clamping parameters with the joint position; Determine the inflection point location from the stress state at the inflection point, and associate the inflection point support parameters with the inflection point location; Based on the location index, the adjusted arc-shaped main keel parameters, secondary keel layout parameters, adjusted node locking parameters, joint clamping parameters associated with the joint position, and inflection point support parameters associated with the inflection point position are summarized to generate a segmented reinforcement parameter set. The reinforcement parameter determination result is generated based on the segmented reinforcement parameter set.

9. The method for determining reinforcement parameters of concrete wooden formwork for canopy roofs according to claim 1, characterized in that: The determination of the reinforcement parameters is used to guide the reinforcement construction of the concrete wooden formwork for the canopy roof, ensuring that the formwork's curved surface fit and joint sealing meet the requirements for simulated fair-faced concrete molding, including: Based on the adjusted arc-shaped main keel parameters determined from the reinforcement parameter determination results, the arc-shaped main keel is bent and installed; based on the secondary keel arrangement parameters determined from the reinforcement parameter determination results, the secondary keel is arranged and fixed; based on the adjusted node locking parameters determined from the reinforcement parameter determination results, the node locking is performed. Based on the joint compression parameters in the reinforcement parameter determination results, the joints between the corresponding segments of the wooden formwork are compressed and sealed. The inflection point position is determined from the stress state of the inflection point, and the inflection point position is supported and reinforced based on the inflection point support parameters in the reinforcement parameter determination results. The joint positions between adjacent segments are determined from the segmented data of the wooden formwork. After construction, the surface fit of the formwork corresponding to each segment is tested to obtain the measured surface fit deviation. The joint sealing status at the joint position is tested to obtain the measured joint gap. The measured surface fitting deviation and measured joint gap are compared with the requirements for the molding of imitation fair-faced concrete. When the measured surface fitting deviation or measured joint gap does not meet the requirements for the molding of imitation fair-faced concrete, the adjusted arc-shaped main keel parameters, adjusted node locking parameters or joint pressing parameters at the corresponding positions are corrected according to the reinforcement parameter determination results until the surface fitting state and joint sealing state of the template meet the requirements for the molding of imitation fair-faced concrete.

10. A system for implementing the method for determining reinforcement parameters of concrete wooden formwork for canopy roofs as described in any one of claims 1-9, characterized in that, include: The system includes a model building unit, a load calculation unit, a parameter determination unit, a verification and adjustment unit, and a result generation unit.

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