A temperature filtering calculation method and system for main beam installation elevation

Abstract

The present application relates to a temperature filtering calculation method and system for the installation elevation of a main beam, and relates to the field of construction control of large-span bridges. The method comprises the following steps: obtaining the reference state elevation corresponding to each preset control point on the erected beam section at the actual measured temperature under a constant temperature field at night; obtaining the calculated state elevation corresponding to each preset control point during the daytime period before installing the beam section to be erected; calculating the temperature elevation influence of the beam section to be erected based on the reference state elevation, the calculated state elevation and the length of the beam section to be erected; constructing a finite element model corresponding to the theoretical line shape formed by the beam section to be erected and the erected beam section under a preset reference ambient temperature; regressing the preset reference ambient temperature of the finite element model to the actual measured temperature, and determining the theoretical installation control elevation of the beam section to be erected based on the reference state elevation; and accurately calculating the actual installation control elevation of the beam section to be erected through the temperature elevation influence and the theoretical installation control elevation to ensure that no kink occurs between the beam sections.

Description

Technical Field

[0001] The present application relates to the technical field of long-span bridge construction control, and in particular to a temperature filtering calculation method and system for main beam installation elevation. Background Art

[0002] Currently, continuous beam bridges, continuous rigid frame bridges, and cable-stayed bridges are highly competitive bridge types in the 100- to 1,000-meter range. To accommodate navigation and traffic beneath the bridges, these bridge types are typically constructed using the cantilever method. However, during cantilever construction, since the main beam segments are typically erected during daytime, the ambient temperature and internal temperature distribution within the structure are constantly changing due to solar radiation, making accurate measurement of these temperature effects difficult.

[0003] In the related art, when installing the main beam segments of cantilever bridges, the effect of temperature objectively has a certain impact on the construction alignment of the structure, causing a certain error in the main beam installation elevation, which in turn causes a certain deviation between the bridge's completed alignment and the target design alignment. As the span of bridges continues to increase, the impact of alignment control during construction on the bridge's alignment becomes more and more significant, and the requirements for alignment control accuracy are becoming increasingly higher. Therefore, for large-span bridge structures, if conventional methods are still used to directly use theoretical models to determine the installation elevation of the bridge, it will cause angles between the beam segments, thereby affecting the elevation of the segments to be erected and the stress-free curvature of the main beam, causing the bridge's completed alignment to deviate from the theoretical alignment, affecting the vehicle's driving alignment, and even endangering driving safety.

[0004] It can be seen that how to accurately identify the elevation of the main beam section is an urgent problem that needs to be solved. Summary of the Invention

[0005] The present application provides a temperature filtering calculation method and system for the main beam installation elevation to solve the problem in the related art that the main beam section elevation cannot be accurately identified.

[0006] In a first aspect, a temperature filtering calculation method for main beam installation elevation is provided, comprising the following steps:

[0007] Under the constant temperature field at night, obtain the corresponding reference state elevation of each preset control point on the erected beam section under the measured temperature;

[0008] Before installing the beam section to be erected, obtain the calculated status elevation corresponding to each preset control point during the daytime period;

[0009] Calculate the temperature elevation influence of the beam section to be erected based on the reference state elevation, the calculated state elevation, and the length of the beam section to be erected;

[0010] Construct a finite element model corresponding to the theoretical line shape formed by the beam section to be erected and the beam section already erected at a preset reference ambient temperature;

[0011] Returning the preset reference ambient temperature of the finite element model to the measured temperature, and determining the theoretical installation control elevation of the beam section to be erected according to the reference state elevation;

[0012] The actual installation control elevation of the beam section to be erected is calculated by using the temperature elevation influence quantity of the beam section to be erected and the theoretical installation control elevation.

[0013] In some embodiments, the step of calculating the temperature elevation influence of the beam section to be erected based on the reference state elevation, the calculated state elevation, and the length of the beam section to be erected includes:

[0014] Calculating the temperature elevation influence of each preset control point according to the reference state elevation and the calculated state elevation;

[0015] Performing curve fitting on the temperature elevation influence variable of the preset control point to obtain a fitting curve;

[0016] Derivative the fitting curve to obtain the end tangent angle of the cantilever end of the erected beam section;

[0017] The temperature elevation influence amount of the beam section to be erected is calculated based on the end tangent angle and the length of the beam section to be erected.

[0018] In some embodiments, the curve fitting is a cubic spline curve fitting.

[0019] In some embodiments, regressing the preset reference ambient temperature of the finite element model to the measured temperature and determining the theoretical installation control elevation of the beam section to be erected based on the reference state elevation includes:

[0020] Regressing the preset reference ambient temperature of the finite element model to the measured temperature to obtain the finite element elevation corresponding to each preset control point and the finite element control elevation of the beam section to be erected;

[0021] Determine the elevation error correction value of the beam section to be erected according to the reference state elevation and the finite element elevation;

[0022] The theoretical installation control elevation of the beam section to be erected is obtained by calculating the elevation error correction value and the finite element control elevation.

[0023] In some embodiments, before the step of obtaining the reference state elevation corresponding to each preset control point on the erected beam section under the measured temperature in the constant temperature field at night, the method further includes:

[0024] A plurality of preset control points are fixedly set on the erected beam section, and the preset control points are set at the main beam nodes.

[0025] In a second aspect, a temperature filtering calculation system for main beam installation elevation is provided, comprising:

[0026] The measurement module is used to obtain the reference state elevation corresponding to each preset control point on the erected beam section at the measured temperature under a constant temperature field at night; before installing the beam section to be erected, it is used to obtain the calculated state elevation corresponding to each preset control point during the daytime period;

[0027] A calculation module, configured to calculate a temperature elevation influence amount of the beam section to be erected based on the reference state elevation, the calculated state elevation, and the length of the beam section to be erected;

[0028] A simulation module is used to construct a finite element model corresponding to the theoretical line shape formed by the beam section to be erected and the beam section already erected at a preset reference ambient temperature;

[0029] A correction module is used to regress the preset reference ambient temperature of the finite element model to the measured temperature, and determine the theoretical installation control elevation of the beam section to be erected based on the reference state elevation; and obtain the actual installation control elevation of the beam section to be erected by calculating the temperature elevation influence of the beam section to be erected and the theoretical installation control elevation.

[0030] In some embodiments, the calculation module is specifically configured to:

[0031] Calculating the temperature elevation influence of each preset control point according to the reference state elevation and the calculated state elevation;

[0032] Performing curve fitting on the temperature elevation influence variable of the preset control point to obtain a fitting curve;

[0033] Derivative the fitting curve to obtain the end tangent angle of the cantilever end of the erected beam section;

[0034] The temperature elevation influence amount of the beam section to be erected is calculated based on the end tangent angle and the length of the beam section to be erected.

[0035] In some embodiments, the curve fitting is a cubic spline curve fitting.

[0036] In some embodiments, the correction module is specifically configured to:

[0037] Regressing the preset reference ambient temperature of the finite element model to the measured temperature to obtain the finite element elevation corresponding to each preset control point and the finite element control elevation of the beam section to be erected;

[0038] Determine the elevation error correction value of the beam section to be erected according to the reference state elevation and the finite element elevation;

[0039] The theoretical installation control elevation of the beam section to be erected is obtained by calculating the elevation error correction value and the finite element control elevation.

[0040] In some embodiments, the system further includes a point distribution module, which is configured to:

[0041] A plurality of preset control points are fixedly set on the erected beam section, and the preset control points are set at the main beam nodes.

[0042] The present application provides a temperature filtering calculation method and system for the main beam installation elevation, including obtaining the reference state elevation corresponding to each preset control point on the erected beam section at the measured temperature under a constant temperature field at night; obtaining the calculated state elevation corresponding to each preset control point during the daytime period before installing the beam section to be erected; calculating the temperature elevation influence of the beam section to be erected based on the reference state elevation, the calculated state elevation, and the length of the beam section to be erected; constructing a finite element model corresponding to the theoretical line shape formed by the beam section to be erected and the erected beam section at a preset reference ambient temperature; regressing the preset reference ambient temperature of the finite element model to the measured temperature, and determining the theoretical installation control elevation of the beam section to be erected based on the reference state elevation; and calculating the actual installation control elevation of the beam section to be erected through the temperature elevation influence of the beam section to be erected and the theoretical installation control elevation. The present application can accurately calculate the actual installation control elevation of the beam section to be erected based on the influence of the ambient temperature, so as to ensure that no angles will appear between the beam sections, thereby ensuring that the bridge line shape of the main beam is precisely consistent with the designed line shape. BRIEF DESCRIPTION OF THE DRAWINGS

[0043] In order to more clearly illustrate the technical solutions in the embodiments of the present application, the following briefly introduces the drawings required for use in the description of the embodiments. Obviously, the drawings described below are only some embodiments of the present application. For ordinary technicians in this field, other drawings can be obtained based on these drawings without any creative work.

[0044] Figure 1 A schematic diagram of a process provided in an embodiment of the present application;

[0045] Figure 2 A schematic diagram of selecting preset control points for a cable-stayed bridge provided in an embodiment of the present application;

[0046] Figure 3 A structural schematic diagram of a temperature filtering calculation system for the main beam installation elevation provided in an embodiment of the present application. DETAILED DESCRIPTION

[0047] To make the purpose, technical solutions, and advantages of the embodiments of this application more clear, the technical solutions in the embodiments of this application will be clearly and completely described below in conjunction with the drawings in the embodiments of this application. Obviously, the described embodiments are part of the embodiments of this application, not all of the embodiments. Based on the embodiments in this application, all other embodiments obtained by ordinary technicians in this field without making creative efforts are within the scope of protection of this application.

[0048] The embodiments of the present application provide a temperature filtering calculation method and system for the main beam installation elevation, which can solve the problem in related technologies that the main beam section elevation cannot be accurately identified.

[0049] Figure 1 A temperature filtering calculation method for the main beam installation elevation provided in an embodiment of the present application includes the following steps:

[0050] Step S10: Under a constant temperature field at night, obtaining the corresponding reference state elevation of each preset control point on the erected beam section under the measured temperature;

[0051] For example, in this embodiment, the first measurement will be carried out under the constant temperature field t1 at night (i.e., the measured temperature t1) to obtain the elevation y1 of each preset control point under the measured temperature t1, and the elevation y1 will be used as the reference state, that is, the reference state elevation y1 corresponding to each preset control point on the erected beam section under the measured temperature t1 is obtained.

[0052] Furthermore, before the step of obtaining the reference state elevation corresponding to each preset control point on the erected beam section under the measured temperature in the constant temperature field at night, the method further includes:

[0053] A plurality of preset control points are fixedly set on the erected beam section, and the preset control points are set at the main beam nodes.

[0054] For example, in this embodiment, n preset control points for measuring elevation will be selected in the erected beam section. It should be understood that the preset control points should be selected at the main beam nodes and selected in sequence from the cantilever end. The value of the number of preset control points n can preferably be no less than 4. For details, see Figure 2 As shown in Figure 2, for a certain stage of cantilever construction bridge, at least four preset control points (i.e. Figure 2 1#, 2#, 3# and 4#), and the four preset control points are arranged at the main beam nodes.

[0055] Step S20: Before installing the beam section to be erected, obtain the calculated state elevation corresponding to each preset control point during the daytime period;

[0056] For example, in this embodiment, the main beam section to be erected (i.e. Figure 2 The installation of the beam segments to be installed in the existing beam segments is carried out, and all temporary loads on the existing beam segments are kept consistent with those at night (i.e., the temporary loads remain unchanged). A second measurement is then performed. Due to the influence of ambient temperature and sunlight, the structural alignment will change to a certain extent. At this time, the elevation y2 of each preset control point is measured and used as the calculation state, that is, the calculated state elevation y2 corresponding to each preset control point is obtained. It can be understood that this elevation data includes the influence of ambient temperature.

[0057] Step S30: Calculating the temperature elevation influence of the beam section to be erected based on the reference state elevation, the calculated state elevation, and the length of the beam section to be erected;

[0058] For example, it should be understood that temperature effects objectively have a certain impact on the construction alignment of the structure, resulting in errors in the main beam installation elevation. However, in the prior art installation of cantilever bridge main beam segments, the impact of temperature effects on the elevation of the main beam to be erected is not considered, which in turn causes angles between beam segments, thereby affecting the elevation of the segments to be erected and the stress-free curvature of the main beam. In this embodiment, the impact of ambient temperature on the elevation of the main beam to be erected is fully considered. Specifically, the temperature elevation effect of the beam segment to be erected under the influence of ambient temperature is determined by using the baseline elevation obtained at night, the calculated elevation obtained during the day, and the length of the beam segment to be erected.

[0059] Furthermore, the temperature elevation influence amount of the beam section to be erected is calculated based on the reference state elevation, the calculated state elevation, and the length of the beam section to be erected, including:

[0060] Calculating the temperature elevation influence of each preset control point according to the reference state elevation and the calculated state elevation;

[0061] Performing curve fitting on the temperature elevation influence variable of the preset control point to obtain a fitting curve;

[0062] Derivative the fitting curve to obtain the end tangent angle of the cantilever end of the erected beam section;

[0063] The temperature elevation influence amount of the beam section to be erected is calculated based on the end tangent angle and the length of the beam section to be erected.

[0064] For example, in this embodiment, the measured elevation of each preset control point in the calculation state is subtracted from the measured elevation of each preset control point in the reference state to obtain the influence of the ambient temperature on the elevation of each preset control point, that is, the temperature elevation influence of the preset control point y t=y2-y1; then, the spline curve algorithm is used to fit the temperature elevation influence of each preset control point, and the end tangent angle of the cantilever end of the erected beam section is derived; then, the end tangent angle is multiplied by the length of the beam section to be erected to obtain the temperature elevation influence Δy of the beam section to be erected, that is, the influence of the ambient temperature on the installation elevation.

[0065] Furthermore, the curve fitting is cubic spline curve fitting.

[0066] For example, in this embodiment, it is preferred to t} Perform spline curve fitting. Specifically: (1) Set n preset control points, divide the beam segment into n-1 beam segments, and use cubic spline curve fitting. Then the displacement curve of the i-th beam segment is:

[0067] S i (x) = y i +a i (xx i )+b i (xx i ) 2 +c i (xx i ) 3 x∈[x i ,x i+1 ],i=1,2,...n-1

[0068] Where x i 、y i are the position and temperature elevation influence of the i-th node measured, a i 、b i and c i is the undetermined coefficient.

[0069] (2) Based on the continuity of displacement, rotation angle and curvature between beam segments, that is, the displacement values, first-order derivatives and second-order derivatives on both sides of each concentrated force node are equal:

[0070] S i (x i+1 )=y i+1 →y i+1 =y i +a i (x i+1 -x i )+b i (x i+1 -x i ) 2 +c i (x i+1 -x i ) 3

[0071] S i ′(x i+1 )=S i+1 ′(x i+1 )→a i +2b i (x i+1 -x i )+3c i (x i+1 -x i ) 2 =a i+1

[0072]

[0073] Then we can get the coefficient a i 、b i and c i The relationship can be integrated into a relationship where only coefficient b exists. i The recursive equation is:

[0074]

[0075] Consider the boundary condition near the tower side S″(x1)=0 and the boundary condition at the cantilever end S″(x n )=ω, we can get n-1 equations and solve n-1 unknowns, so the above equations can be organized into matrix equations:

[0076]

[0077] Then, according to the above matrix equation, the coefficient b can be solved i , and then solve for the coefficient a i and c i , thus obtaining the spline curve expression of the displacement of each beam segment.

[0078] (3) Since the boundary condition ω is unknown, we can first substitute 0 for the initial calculation, that is, S″(x n )=ω0=0, and calculate S″(x n-1 )=ω1; if ω1≠ω0, substitute ω1 as the boundary condition and recalculate to obtain S″(x n-1 )=ω2, if ω2≠ω1, repeat the above steps until S″(x n-1 )≈S″(x n ), thereby determining the ω value.

[0079] (4) Substitute the iterative boundary condition ω into the original matrix equation to obtain the coefficient a i 、b i and c i , and then get the curve equation S of the cantilever endn-1 (x), and take the derivative to get the end tangent angle; then multiply the end tangent angle by the length of the beam section to be erected to get the influence of the ambient temperature on the installation elevation.

[0080] Step S40: constructing a finite element model corresponding to the theoretical line shape formed by the beam section to be erected and the beam section already erected at a preset reference ambient temperature;

[0081] For example, in this embodiment, a finite element model is constructed for the aforementioned construction phase, and the reference ambient temperature of the finite element model is preset to t0. It is understood that the constructed finite element model is a theoretical line formed by the sections to be erected and the sections already erected at the preset reference ambient temperature t0.

[0082] Step S50: returning the preset reference ambient temperature of the finite element model to the measured temperature, and determining the theoretical installation control elevation of the beam section to be erected according to the reference state elevation;

[0083] Exemplarily, in this embodiment, the finite element calculation results are obtained by regressing the preset reference ambient temperature of the finite element model to the actual measured temperature; and the theoretical installation control elevation of the beam section to be erected is determined by the finite element calculation and the reference state elevation.

[0084] Furthermore, the step of returning the preset reference ambient temperature of the finite element model to the measured temperature and determining the theoretical installation control elevation of the beam section to be erected according to the reference state elevation includes:

[0085] Regressing the preset reference ambient temperature of the finite element model to the measured temperature to obtain the finite element elevation corresponding to each preset control point and the finite element control elevation of the beam section to be erected;

[0086] Determine the elevation error correction value of the beam section to be erected according to the reference state elevation and the finite element elevation;

[0087] The theoretical installation control elevation of the beam section to be erected is obtained by calculating the elevation error correction value and the finite element control elevation.

[0088] For example, in this embodiment, the preset reference ambient temperature of the finite element model is regressed to the measured temperature t1 under the reference state, and the finite element elevation corresponding to each preset control point and the finite element control elevation of the beam section to be erected can be obtained; at this time, the elevation error correction value of the beam section to be erected is determined by comparing and analyzing the measured value (i.e., the reference state elevation) and the finite element value (i.e., the finite element elevation) of each preset control point; then the finite element control elevation is corrected by the elevation error correction value, and the theoretical installation control elevation y0 of the beam section to be erected can be calculated.

[0089] Step S60: Calculate the actual installation control elevation of the beam section to be erected by using the temperature elevation influence value of the beam section to be erected and the theoretical installation control elevation.

[0090] For example, in this embodiment, the total value between the temperature elevation influence Δy of the beam segment to be erected and the theoretical installation elevation y0 is used as the actual installation control elevation y of the beam segment to be erected (i.e., the control elevation for installing the beam segment to be erected during the day). This shows that compared to conventional construction control methods that do not consider the influence of temperature, this embodiment fully considers the influence of ambient temperature and proposes a specific calculation method to accurately calculate the actual installation control elevation of the beam segment to be erected, thereby ensuring that no angles appear between beam segments, thereby ensuring that the bridge alignment of the main beam is precisely consistent with the designed alignment. This calculation method has high accuracy and can consider the influence of changes in end curvature, and is applicable to all types of cantilever construction bridges.

[0091] In addition, this embodiment also has good on-site applicability, that is, the temperature filtering calculation method for the above-mentioned main beam installation elevation can be compiled into a fixed program for calculation. During the day, before the installation of the beam section to be erected, the elevations of each control point measured are input into the compiled program, and the installation elevation of the beam section to be erected can be calculated immediately. The entire process only takes a few seconds, so it does not affect the on-site installation.

[0092] The following combination Figure 2 The principle and process of this embodiment are explained by taking a double-tower three-span steel box girder cable-stayed bridge with a span of 280m as an example.

[0093] 1. The calculation of construction phase and selection of preset control points are as shown in the attached Figure 2 As shown, the next segment beam (i.e. Figure 2 The installation of the beam section to be installed in the main beam). The cable nodes on the main beam are all spaced 12.5m apart. Four measuring points (i.e., preset control points) are selected, and each measuring point is taken on the main beam node. The mileage coordinates are {x}4 = {-42.5, -30, -17.5, -5}, respectively, in meters. The subscript 4 represents the data of the 1# to 4# measuring points. It should be noted that the subscript 4 in the following embodiments represents the data of the 1# to 4# measuring points. For the sake of brevity, they will not be repeated here.

[0094] 2. First, the above four measurement points are measured at night. The actual nighttime ambient temperature t1 = 12°C, with a construction crane and hoisting load acting on the end, and the elevations of the four measurement points are measured to be {y1}4 = {0.982, 1.055, 1.079, 1.092}, which are used as the reference state. During the day, the main beam section to be erected is about to be installed. Keeping the crane hoisting load consistent with that at night, the same four measurement points are measured a second time. At this time, the structure is affected by strong sunlight, and there are temperature effects such as overall temperature rise, cable-beam temperature difference, and beam gradient temperature. At this time, the elevations of each measurement point are measured to be {y2}4 = {0.974, 1.028, 1.025, 1.001}, which are used as the calculation state. The elevation data includes the influence of the ambient temperature.

[0095] 3. Subtract the measurement elevation {y1} of each measurement point in the calculation state from the measurement elevation {y2} of each measurement point in the calculation state to obtain the influence of the ambient temperature on the elevation of each measurement point {y t}4={-0.008,-0.027,-0.054,-0.091}.

[0096] 4. Use the spline curve algorithm proposed in this embodiment to calculate {y t} Perform spline curve fitting and derive the end tangent angle to be -0.0033; then multiply the end tangent angle -0.0033 by the length of the beam section to be erected 12.5m, and you can get the influence of the ambient temperature on the installation elevation of the beam section to be erected Δy = -41.2mm.

[0097] Among them, the method of cubic spline curve fitting is:

[0098] Establish the spline curve equation. There are 3 beam segments at 4 measurement points. The curve equation of each beam segment is:

[0099] S i (x) = y i +a i (xx i )+b i (xx i ) 2 +c i (xx i ) 3 x∈[x i ,x i+1 ],i=1,2,3

[0100] The mileage coordinates are {x}4 = {-42.5, -30, -17.5, -5}, and the temperature elevation influence is {y t}4={-0.008,-0.027,-0.054,-0.091}; then according to the continuity condition and boundary conditions S″(x1)=0, S″(x4)=ω, the matrix equation is obtained:

[0101]

[0102] Since the boundary condition ω is unknown, we can first substitute 0 for the initial calculation, that is, S″(x n )=ω0=0, and the coefficient a of each equation is obtained i 、b i and c i , calculate and get S″(x3)=ω1; if ω1≠ω0, substitute ω1 as the boundary condition and recalculate to get S″(x3)=ω2; if ω2≠ω1, repeat the above steps to iterate, where the iterative process is shown in Table 1.

[0103] Table 1 Iterative process for determining boundary condition ω

[0104]

[0105] It can be seen that after 7 iterations, the ω value is basically stable, so ω=ω7=-5.78E-5 is taken and substituted into the spline curve matrix equation. The coefficients of each equation are solved as follows: {a}3={-0.00136,-0.00178,-0.00256}, {b}3={0,-3.346×10 -5 ,-2.892×10 -5}, {c}3={-8.892×10 -7 ,1.211×10 -7 ,3.512×10 -10}, the curve equation of the cantilever end beam segment (i.e. the third segment of the spline curve) is:

[0106] S3(x)=y3+a3(x-x3)+b3(x-x3) 2 +c3(x-x3) 3 x∈[x3,x4]

[0107] Taking the derivative of the above equation, we get:

[0108] S3′(x)=a3+2b3(x-x3)+3c3(x-x3) 2 x∈[x3,x4]

[0109] Substituting x4=-5 and the coefficients a3, b3 and c3 into the above formula, we can obtain the tangent angle of the beam end as -0.0033, and multiplying it by the length of the beam section to be erected 12.5m to obtain the influence of the ambient temperature on the installation elevation value, that is, the temperature elevation influence of the beam section to be erected Δy=-41.2mm.

[0110] 5. Establish the finite element model for this construction stage, and the reference ambient temperature of the model is t0 = 15 °C; return the reference ambient temperature of the finite element model to the measured temperature t1 = 12 °C under the reference state. At this time, the finite element elevations corresponding to the four measurement points calculated by the finite element model are {0.981, 1.055, 1.079, 1.093}, and the maximum error between them and the reference state elevation value {y1}4 = {0.982, 1.055, 1.079, 1.092} is only 1 mm, that is, the elevation of the beam section to be erected is 1 mm. The high error correction value is 1mm; since the maximum error is only 1mm, it is within the acceptable range for construction, so there is no need to perform error correction on the theoretical installation control elevation determined by the finite element model, that is, the theoretical installation control elevation of the beam section to be erected is determined to be y0=1.103m according to the finite element model; finally, the theoretical installation control elevation y0=1.103m is superimposed with the temperature elevation influence amount Δy=-41.2mm of the beam section to be erected, and the actual installation control elevation y=y0+Δy=1.062m of the beam section to be erected on site can be obtained.

[0111] In summary, if conventional construction control methods are used without considering the effect of temperature on the installation elevation, a deviation of 41.2 mm will occur, which will have a non-negligible impact on the linear smoothness of the structure. However, this embodiment fully considers the effect of ambient temperature on the installation elevation, corrects the 41.2 mm deviation, and accurately identifies the actual installation control elevation of the beam section to be erected. In other words, this embodiment can calculate and control the influence of ambient temperature during cantilever bridge construction, ensuring that no angles are generated between the beam sections, ensuring that the stress-free linear shape of the beam section is consistent with the design, and improving the linear accuracy of bridge construction. In addition, the calculation method proposed in this embodiment can be compiled into a calculation program, which automatically performs matrix operations and iterative calculations in the program. After the measurement data is input on site, the influence value Δy of the ambient temperature on the installation elevation can be immediately output, which is convenient for on-site workers to implement.

[0112] See also Figure 3 As shown, the embodiment of the present application further provides a temperature filtering calculation system for main beam installation elevation, comprising:

[0113] The measurement module is used to obtain the reference state elevation corresponding to each preset control point on the erected beam section at the measured temperature under a constant temperature field at night; before installing the beam section to be erected, it is used to obtain the calculated state elevation corresponding to each preset control point during the daytime period;

[0114] A calculation module, configured to calculate a temperature elevation influence amount of the beam section to be erected based on the reference state elevation, the calculated state elevation, and the length of the beam section to be erected;

[0115] A simulation module is used to construct a finite element model corresponding to the theoretical line shape formed by the beam section to be erected and the beam section already erected at a preset reference ambient temperature;

[0116] A correction module is used to regress the preset reference ambient temperature of the finite element model to the measured temperature, and determine the theoretical installation control elevation of the beam section to be erected based on the reference state elevation; and obtain the actual installation control elevation of the beam section to be erected by calculating the temperature elevation influence of the beam section to be erected and the theoretical installation control elevation.

[0117] Furthermore, the calculation module is specifically used to:

[0118] Calculating the temperature elevation influence of each preset control point according to the reference state elevation and the calculated state elevation;

[0119] Performing curve fitting on the temperature elevation influence variable of the preset control point to obtain a fitting curve;

[0120] Derivative the fitting curve to obtain the end tangent angle of the cantilever end of the erected beam section;

[0121] The temperature elevation influence amount of the beam section to be erected is calculated based on the end tangent angle and the length of the beam section to be erected.

[0122] Furthermore, the curve fitting is cubic spline curve fitting.

[0123] Furthermore, the correction module is specifically used to:

[0124] Regressing the preset reference ambient temperature of the finite element model to the measured temperature to obtain the finite element elevation corresponding to each preset control point and the finite element control elevation of the beam section to be erected;

[0125] Determine the elevation error correction value of the beam section to be erected according to the reference state elevation and the finite element elevation;

[0126] The theoretical installation control elevation of the beam section to be erected is obtained by calculating the elevation error correction value and the finite element control elevation.

[0127] Furthermore, the system also includes a point distribution module, which is used to:

[0128] A plurality of preset control points are fixedly set on the erected beam section, and the preset control points are set at the main beam nodes.

[0129] It should be noted that, those skilled in the art can clearly understand that, for the convenience and brevity of description, the specific working processes of the above-described system and each module can refer to the corresponding processes in the aforementioned embodiment of the temperature filtering calculation method for the main beam installation elevation, and will not be repeated here.

[0130] In the description of this application, it should be noted that the terms "upper" and "lower" and the like indicate orientations or positional relationships based on the orientations or positional relationships shown in the accompanying drawings, and are only for the convenience of describing this application and simplifying the description, and do not indicate or imply that the device or element referred to must have a specific orientation, be constructed and operated in a specific orientation, and therefore cannot be understood as a limitation on this application. Unless otherwise clearly specified and limited, the terms "installed", "connected", and "connected" should be understood in a broad sense, for example, it can be a fixed connection, a detachable connection, or an integral connection; it can be a mechanical connection or an electrical connection; it can be a direct connection, or an indirect connection through an intermediate medium, or it can be internal communication between two elements. For those of ordinary skill in the art, the specific meanings of the above terms in this application can be understood according to the specific circumstances.

[0131] It should be noted that, in this application, relational terms such as "first" and "second" are used only to distinguish one entity or operation from another entity or operation, and do not necessarily require or imply any actual relationship or order between these entities or operations. Moreover, the terms "include", "comprise" or any other variants thereof are intended to cover non-exclusive inclusion, so that a process, method, article or device comprising a series of elements includes not only those elements, but also other elements not explicitly listed, or also includes elements inherent to such process, method, article or device. In the absence of further restrictions, an element defined by the sentence "comprising a ..." does not exclude the presence of other identical elements in the process, method, article or device comprising the element.

[0132] The foregoing is merely a list of specific embodiments of the present application, intended to enable those skilled in the art to understand or implement the present application. Various modifications to these embodiments will be readily apparent to those skilled in the art, and the general principles defined herein may be implemented in other embodiments without departing from the spirit or scope of the present application. Therefore, the present application is not limited to the embodiments shown herein, but is intended to conform to the broadest scope consistent with the principles and novel features of the present application.

Claims

1. A temperature filtering calculation method for main beam installation elevation, characterized in that: The following steps are involved: Under the constant temperature field at night, obtain the corresponding reference state elevation of each preset control point on the erected beam section under the measured temperature; Before installing the beam section to be erected, obtain the calculated status elevation corresponding to each preset control point during the daytime period; Calculate the temperature elevation influence of the beam section to be erected based on the reference state elevation, the calculated state elevation, and the length of the beam section to be erected; Construct a finite element model corresponding to the theoretical line shape formed by the beam section to be erected and the beam section already erected at a preset reference ambient temperature; Returning the preset reference ambient temperature of the finite element model to the measured temperature, and determining the theoretical installation control elevation of the beam section to be erected according to the reference state elevation; The actual installation control elevation of the beam section to be erected is calculated by using the temperature elevation influence of the beam section to be erected and the theoretical installation control elevation; The first measurement is performed at a constant temperature field t1 at night to obtain the elevation y1 of each preset control point at the measured temperature t1, and the elevation y1 is used as the reference state, that is, the reference state elevation y1 corresponding to each preset control point on the erected beam section at the measured temperature t1 is obtained; The main beam section to be erected is installed during the day, and all temporary loads on the erected section are kept consistent with those at night before installation. Then a second measurement is performed, at which the elevation y2 of each preset control point is measured and used as the calculation state, i.e., the calculation state elevation y2 corresponding to each preset control point is obtained. The step of calculating the temperature elevation influence of the beam section to be erected based on the reference state elevation, the calculated state elevation, and the length of the beam section to be erected includes: Calculating the temperature elevation influence of each preset control point according to the reference state elevation and the calculated state elevation; Performing curve fitting on the temperature elevation influence variable of the preset control point to obtain a fitting curve; Derivative the fitting curve to obtain the end tangent angle of the cantilever end of the erected beam section; The temperature elevation influence amount of the beam section to be erected is calculated based on the end tangent angle and the length of the beam section to be erected.

2. The temperature filtering calculation method for main beam installation elevation according to claim 1, characterized in that: The curve fitting is cubic spline curve fitting.

3. The temperature filtering calculation method for main beam installation elevation according to claim 1 is characterized in that: The step of returning the preset reference ambient temperature of the finite element model to the measured temperature and determining the theoretical installation control elevation of the beam section to be erected according to the reference state elevation includes: Regressing the preset reference ambient temperature of the finite element model to the measured temperature to obtain the finite element elevation corresponding to each preset control point and the finite element control elevation of the beam section to be erected; Determine the elevation error correction value of the beam section to be erected according to the reference state elevation and the finite element elevation; The theoretical installation control elevation of the beam section to be erected is obtained by calculating the elevation error correction value and the finite element control elevation.

4. The temperature filtering calculation method for main beam installation elevation according to claim 1 is characterized in that: Before the step of obtaining the reference state elevation corresponding to each preset control point on the erected beam section under the measured temperature in the constant temperature field at night, the method further includes: A plurality of preset control points are fixedly set on the erected beam section, and the preset control points are set at the main beam nodes.

5. A temperature filtering calculation system for main beam installation elevation, characterized in that: include: The measurement module is used to obtain the corresponding reference state elevation of each preset control point on the erected beam section under the measured temperature in a constant temperature field at night; Before installing the beam section to be erected, obtain the calculated status elevation corresponding to each preset control point during the daytime period; A calculation module, configured to calculate a temperature elevation influence amount of the beam section to be erected based on the reference state elevation, the calculated state elevation, and the length of the beam section to be erected; A simulation module is used to construct a finite element model corresponding to the theoretical line shape formed by the beam section to be erected and the beam section already erected at a preset reference ambient temperature; a correction module, which is used to return the preset reference ambient temperature of the finite element model to the measured temperature, and determine the theoretical installation control elevation of the beam section to be erected according to the reference state elevation; The actual installation control elevation of the beam section to be erected is calculated by using the temperature elevation influence of the beam section to be erected and the theoretical installation control elevation; The first measurement is performed at a constant temperature field t1 at night to obtain the elevation y1 of each preset control point at the measured temperature t1, and the elevation y1 is used as the reference state, that is, the reference state elevation y1 corresponding to each preset control point on the erected beam section at the measured temperature t1 is obtained; The main beam section to be erected is installed during the day, and all temporary loads on the erected section are kept consistent with those at night before installation. Then a second measurement is performed, at which the elevation y2 of each preset control point is measured and used as the calculation state, i.e., the calculation state elevation y2 corresponding to each preset control point is obtained. The calculation module is specifically used for: Calculating the temperature elevation influence of each preset control point according to the reference state elevation and the calculated state elevation; Performing curve fitting on the temperature elevation influence variable of the preset control point to obtain a fitting curve; Derivative the fitting curve to obtain the end tangent angle of the cantilever end of the erected beam section; The temperature elevation influence amount of the beam section to be erected is calculated based on the end tangent angle and the length of the beam section to be erected.

6. The temperature filtering calculation system for main beam installation elevation according to claim 5, characterized in that: The curve fitting is cubic spline curve fitting.

7. The temperature filtering calculation system for main beam installation elevation according to claim 5, characterized in that: The correction module is specifically used for: Regressing the preset reference ambient temperature of the finite element model to the measured temperature to obtain the finite element elevation corresponding to each preset control point and the finite element control elevation of the beam section to be erected; Determine the elevation error correction value of the beam section to be erected according to the reference state elevation and the finite element elevation; The theoretical installation control elevation of the beam section to be erected is obtained by calculating the elevation error correction value and the finite element control elevation.

8. The temperature filtering calculation system for main beam installation elevation according to claim 5, characterized in that: The system further includes a point distribution module, which is used to: A plurality of preset control points are fixedly set on the erected beam section, and the preset control points are set at the main beam nodes.

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