Spacing calculation method for achieving uniform distribution of connecting frames of curved steel structure bridges

Abstract

The present invention discloses a spacing calculation method for realizing equal distribution of connecting frames of an arc steel structure bridge, and relates to the technical field of arc bridge engineering. In order to solve the problem that the stress conditions of the arc bridge at different positions cannot be accurately reflected due to the failure to perform stress analysis on the overall structure of the arc bridge and the connecting frames, which may lead to unreasonable spacing of the connecting frames, thereby affecting the overall stability and safety of the arc bridge; by accurately calculating the bearing capacity and maximum allowable spacing of the connecting frames, it is ensured that the connecting frames can meet the structural safety requirements under all working conditions, the uniform distribution of the connecting frames is conducive to the uniform transmission of loads, reduces local stress concentration, and improves the stability and durability of the overall structure. Through three-dimensional model optimization, design defects are discovered in time, unnecessary material waste is reduced, and construction costs are reduced, ensuring that the connecting frames between two arc bridges are evenly distributed and the length is accurately calculated, so as to achieve the unity of safety, stability and functionality of the structure.

Description

Technical Field

[0001] The invention relates to the technical field of arc bridge engineering, and in particular to a spacing calculation method for realizing equal distribution of arc steel structure bridge connecting frames. Background Art

[0002] In the design of traditional curved steel structure bridges, the spacing of connecting frames often relies on experience or simple calculations, which makes it difficult to accurately reflect the stress conditions of the curved bridge at different positions, resulting in potential safety hazards or material waste in the design. Regarding the connection of arc-shaped steel structure bridges, for example, a patent application with publication number: CN118081245A discloses a large-scale welding equipment, including a fixing unit and a welding unit, which supports and fixes large arc-shaped parts of different sizes and curvatures through the cooperation of support blocks and right-angle blocks, clamps and limits small arc-shaped parts of different sizes and curvatures through moving columns, so that they are tightly attached to the large arc-shaped parts, and fixes small arc-shaped parts of different sizes and curvatures through suction racks, thereby improving the use efficiency of the equipment, so as to achieve the purpose of fixing and aligning arc-shaped steel structure components of different sizes and curvatures, thereby improving the welding quality, and through the cooperation of elastic plates and limiting sleeves, the welding trajectory of the welding head is made the same as the size and curvature of the large arc-shaped part, so that the welding head can quickly weld the connection between the large arc-shaped part and the small arc-shaped part, while ensuring the welding quality and improving the quality of the arc-shaped steel structure after welding.

[0003] Although the above patent welds arc-shaped steel structure components of different sizes and curvatures, it does not perform stress analysis on the overall structure of the arc bridge and the connecting frames at different positions. It cannot accurately reflect the stress conditions of the arc bridge at different positions, which may lead to unreasonable setting of the connecting frame spacing, thereby affecting the overall stability and safety of the arc bridge. Summary of the invention

[0004] The purpose of the present invention is to provide a spacing calculation method for achieving equal distribution of connecting frames of an arc-shaped steel structure bridge, so as to solve the problems raised in the above-mentioned background technology.

[0005] To achieve the above object, the present invention provides the following technical solutions:

[0006] The spacing calculation method for realizing equal distribution of connecting frames of an arc-shaped steel structure bridge includes the following steps:

[0007] Step 1: Obtain basic data of curved bridges: Obtain basic parameters of each curved bridge, including the total length of the curved bridge, the radius of the arc, the width of the curved bridge, and the material properties of the curved bridge. At the same time, obtain the environmental data of the curved bridge;

[0008] Step 2: Determine the connection frame parameters: Determine the connection frame parameters according to the basic parameters of each curved bridge, wherein the connection frame parameters include the connection frame type, cross-sectional dimensions, material properties, and maximum allowable stress within the expected service life;

[0009] Step 3: Establish a force analysis model: Establish a force analysis model of the curved bridge and the connecting frame based on the basic parameters of each curved bridge and the corresponding connecting frame parameters, and apply corresponding forces and displacements to the force analysis model based on environmental data;

[0010] Step 4: Force analysis and calculation: Determine the distribution position of the connector on the curved bridge based on the equal arc length method, calculate the load borne by each connector, and calculate the actual stress of each connector at each connection node based on the force analysis model;

[0011] Step 5: Evenly distributed positioning of the connecting frames: Evaluate the bearing capacity of the connecting frames based on their calculation results, determine the maximum allowable spacing of the connecting frames, evenly arrange the connecting frames according to the maximum allowable spacing and the principle of equal distribution, and adjust the length and angle of the connecting frames according to the spacing of the curved bridge.

[0012] Furthermore, the maximum allowable stress is determined in step 2, specifically:

[0013] Determine the material yield strength: obtain the material properties of the connecting frame and extract the yield strength corresponding to the material properties;

[0014] Fatigue analysis: Evaluate the fatigue life of the connector under repeated loads, and calculate the fatigue life of the connector based on the fatigue curve and the stress amplitude of the connector;

[0015] Determine the design safety factor: Determine the safety factor of the connecting frame according to the design specifications and safety standards:

[0016] Calculate the maximum allowable stress: Calculate the maximum allowable stress based on the yield strength and safety factor of the material, and determine the maximum allowable stress limit based on the fatigue life and stress amplitude of the connector;

[0017] Verification and adjustment: Compare the calculated maximum allowable stress with the expected stress of the connecting frame under the actual working environment. If the expected stress exceeds the maximum allowable stress, adjust the connecting frame.

[0018] Furthermore, in step three, a force analysis model is established, specifically:

[0019] Model construction: Build a 3D model of the curved bridge according to the basic parameters of each curved bridge, superimpose each component of the connecting frame in the 3D model of the curved bridge, and define material properties for the curved bridge and the connecting frame;

[0020] Apply loads: Set corresponding boundary conditions and constraints according to the type and performance of the connector, and apply loads to the 3D model of the curved bridge with defined material properties based on the boundary conditions;

[0021] Model optimization: Run the 3D model based on the applied loads and perform stress analysis. Evaluate the stress performance of the curved bridge and the connecting frame based on the analysis results. Optimize the 3D model based on the evaluation results.

[0022] Furthermore, in step 4, the distribution position of the connecting frame on the curved bridge is determined as follows:

[0023] Calculate the total arc length of the curved bridge: Calculate the radius and total arc length of the curved bridge based on the basic parameters of the curved bridge. The formula is as follows:

[0024] L = R * θ

[0025] Where: L represents the total arc length of the arc bridge; R represents the radius of the arc bridge; θ represents the radian of the arc bridge;

[0026] Determine the number of connectors: Determine the total number of connectors required based on the design specifications and the total arc length of the curved bridge;

[0027] Equal arc length division: The total arc length of the arc bridge is divided into segments based on the total number of connectors. According to the equal arc length principle, it is evenly divided from one end of the arc bridge, and the installation position of each connector is marked on the arc edge of the arc bridge;

[0028] Connector positioning: Calculate the specific coordinate position of each connector on the curved bridge based on the marked position and determine it as a connection node. Calculate the load borne by each connector and distribute it reasonably according to the distribution characteristics of the load.

[0029] Calculate the actual stress of the connection node: Based on the load results distributed on each connection frame, calculate the bending moment, shear force and axial force of each connection frame at each connection node, analyze the stress distribution at the node, and ensure that the force on each connection node is within the allowable range of the material properties.

[0030] Furthermore, when marking the position of each connecting frame, the connecting frame is adjusted based on the position attribute of each curved bridge.

[0031] Furthermore, the force analysis calculation in step 4 further includes:

[0032] Based on the constructed 3D model, each connection node is deduced to determine the vertical load and lateral load of each connection node under different loads, and the stress state of each connection node under load is analyzed;

[0033] Based on the vertical load and lateral load of the connection node, the initial bending moment of the connection node under the load is calculated, and the amplification effect coefficient is calculated based on the influence of the connection node deformation on the bending moment;

[0034] According to the increase effect coefficient and the initial pressure intensity, the maximum pressure intensity of each connection node is determined, and each connection node is screened for qualification according to the maximum pressure intensity.

[0035] Furthermore, each connection node is screened for eligibility, and the specific process includes:

[0036] Obtain the maximum compressive strength and maximum allowable stress of the connecting frame in the arc steel structure, and determine the maximum compressive strength of each connecting node by combining the amplification effect coefficient of the deformation bending moment of each connecting node;

[0037] Obtaining the target pressure value of each connection node under different working conditions when the connection node is deduced, and comparing the target pressure value with the maximum pressure strength of the connection node to determine whether the connection node is qualified;

[0038] When the target pressure value of the connection node is less than or equal to the maximum pressure bearing strength, the connection node is determined to be qualified; otherwise, the connection node is determined to be unqualified, and the unqualified connection node is processed.

[0039] Furthermore, the enlarged effect coefficient of the connection node corresponding to the connection frame in the arc steel structure is obtained, including:

[0040] Extracting first parameter data of the connecting frame in the arc-shaped steel structure, and using the first parameter data to obtain an adjustment coefficient for adjusting the collective deformation and stress concentration on the connecting frame, wherein the first parameter data includes an average curvature of the connecting frame in the arc-shaped steel structure and an average thickness of the connecting frame in the arc-shaped steel structure;

[0041] Extracting second parameter data of the connecting frame in the arc-shaped steel structure, and using the second parameter data to obtain the influence coefficient of the material elastic modulus of the connecting frame in the arc-shaped steel structure; wherein the second parameter data includes the Poisson's ratio and the elastic modulus of the material of the connecting frame in the arc-shaped steel structure;

[0042] The geometric deformation coefficient and local stress concentration coefficient of the connecting frame in the arc steel structure are retrieved from the database;

[0043] The adjustment coefficient for adjusting the collective deformation and stress concentration on the connecting frame and the influence coefficient of the material elastic modulus of the connecting frame in the arc-shaped steel structure are combined with the geometric deformation coefficient and the local stress concentration coefficient to obtain the enlargement effect coefficient of the connecting frame corresponding to the connection node in the arc-shaped steel structure;

[0044] The enlarged effect coefficient of the connection node corresponding to the connection frame in the arc-shaped steel structure is obtained by the following formula:

[0045] ;

[0046] Wherein, Q represents the enlarged effect coefficient of the connecting frame corresponding to the connecting node in the arc steel structure; ζ represents the preset velocity dependence coefficient; ξ represents the preset temperature influence coefficient; v represents the stress loading rate; M represents the elastic modulus of the material; T d Indicates the ambient temperature of the connecting frame in the current arc steel structure; T b Indicates the ideal working environment of the connecting frame in the arc steel structure; v b It represents the preset stress loading rate reference value; β represents the adjustment coefficient for adjusting the collective deformation and stress concentration on the connecting frame; δ represents the influence coefficient of the material elastic modulus; G and C represent the geometric deformation coefficient and the local stress concentration coefficient.

[0047] Further, extracting first parameter data of the connecting frame in the arc-shaped steel structure, and using the first parameter data to obtain an adjustment coefficient for adjusting the collective deformation and stress concentration on the connecting frame, including:

[0048] Extracting the average curvature of the connecting frame in the arc-shaped steel structure;

[0049] Extracting the average thickness of the connecting frame in the arc-shaped steel structure;

[0050] Extracting the maximum stress of the connecting frame in the arc-shaped steel structure under the most unfavorable loading condition in the current environment;

[0051] The adjustment coefficient for adjusting the collective deformation and stress concentration on the connecting frame is obtained by using the average curvature and average thickness of the connecting frame in the arc-shaped steel structure in combination with the maximum stress of the connecting frame in the most unfavorable loading condition in the current environment;

[0052] The adjustment coefficient is obtained by the following formula:

[0053] ;

[0054] Wherein, β represents the adjustment coefficient; λ represents the complexity coefficient, and its value range is 0.1-5; k represents the average curvature of the connecting frame in the arc steel structure; t represents the average thickness of the connecting frame in the arc steel structure; α max Indicates the maximum stress of the connecting frame in the arc steel structure under the most unfavorable loading condition; α yrepresents the yield strength corresponding to the material of the connecting frame in the arc steel structure; L represents the length of the connecting frame in the arc steel structure; R represents the average curvature radius of the connecting frame in the arc steel structure; θ represents the curvature influence adjustment coefficient, and the value range of the curvature influence adjustment coefficient is 0-2.

[0055] Further, extracting second parameter data of the connecting frame in the arc-shaped steel structure, and using the second parameter data to obtain the material elastic modulus influence coefficient of the connecting frame in the arc-shaped steel structure, includes:

[0056] Extracting the Poisson's ratio of the material of the connecting frame in the arc-shaped steel structure;

[0057] Extracting the elastic modulus of the material of the connecting frame in the arc-shaped steel structure;

[0058] Retrieving a preset elastic modulus reference value from a database;

[0059] Obtaining the influence coefficient of the material elastic modulus of the connecting frame in the arc-shaped steel structure by using the Poisson's ratio of the material of the connecting frame in the arc-shaped steel structure and the elastic modulus of the material in combination with a preset elastic modulus reference value;

[0060] The influence coefficient of the material elastic modulus of the connecting frame in the arc-shaped steel structure is obtained by the following formula:

[0061] ;

[0062] Among them, δ represents the influence coefficient of the material elastic modulus; M represents the elastic modulus of the material; M ref Indicates the reference value of elastic modulus; α max Indicates the maximum stress of the connecting frame in the arc steel structure under the most unfavorable loading condition; α e represents the maximum allowable stress of the connecting frame in the arc steel structure; a and b represent the first adjustment factor and the second adjustment factor; and the first adjustment factor and the second adjustment factor are obtained by the following formula:

[0063] ;

[0064] Where a represents the first adjustment factor; D min Indicates the minimum spacing of holes on the connecting frame in the curved steel structure (the holes include the installation positions of screws or bolts, etc.); D crit represents the preset critical spacing size; ρ represents the hole density on the connecting frame in the arc steel structure; ρ r Indicates the reference value of hole density on the connecting frame in the curved steel structure;

[0065] ;

[0066] Wherein, b represents the second adjustment factor; M represents the elastic modulus of the material; α y It represents the yield strength of the material of the connecting frame in the arc steel structure; ω represents the adjustment constant coefficient, and its value range is (0,1].

[0067] Furthermore, in step 5, the length and angle of the connecting frame are adjusted according to the spacing of the arc bridge, specifically:

[0068] Determine the connection area between two curved bridges based on the 3D model of each curved bridge, obtain the geometric shape and size of the connection area, and analyze the stress characteristics and load transfer path of the area;

[0069] Determine the location and number of connecting frames in the connection area based on the length and maximum allowable spacing of each curved bridge;

[0070] According to the curvature of the connection area and the position of the connecting frame, the actual length of each connecting frame is calculated, and the actual angle of the connecting frame is adjusted according to the curvature of the two curved bridges;

[0071] The connection method between the two curved bridges is matched according to the actual length and actual angle of the connecting frame, and the layout of the connecting frame in the connection area is simulated and verified. According to the simulation results, the length, angle and distribution of the connecting frame are adjusted.

[0072] Compared with the prior art, the present invention has the following beneficial effects:

[0073] By accurately calculating the load-bearing capacity and maximum allowable spacing of the connecting frames, we ensure that the connecting frames can meet the structural safety requirements under all working conditions. The uniform distribution of the connecting frames helps to evenly transfer the load, reduce local stress concentration, and improve the stability and durability of the overall structure. Through 3D model optimization, design defects can be discovered in a timely manner, unnecessary material waste can be reduced, and construction costs can be reduced. It is ensured that the connecting frames between the two curved bridges are evenly distributed and the length is accurately calculated, thereby achieving the unity of structural safety, stability and functionality. BRIEF DESCRIPTION OF THE DRAWINGS

[0074] Figure 1 The present invention is a flow chart of a spacing calculation method for realizing evenly distributed connecting frames of an arc-shaped steel structure bridge. DETAILED DESCRIPTION

[0075] The following will be combined with the drawings in the embodiments of the present invention to clearly and completely describe the technical solutions in the embodiments of the present invention. Obviously, the described embodiments are only part of the embodiments of the present invention, not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by ordinary technicians in this field without creative work are within the scope of protection of the present invention.

[0076] In order to solve the technical problem that the stress analysis of the overall structure of the curved bridge and the connecting frames at different positions is not carried out, the stress conditions of the curved bridge at different positions cannot be accurately reflected, which may lead to unreasonable setting of the connecting frame spacing, thus affecting the overall stability and safety of the curved bridge, please refer to Figure 1 , this embodiment provides the following technical solutions:

[0077] The spacing calculation method for realizing equal distribution of connecting frames of an arc-shaped steel structure bridge includes the following steps:

[0078] Step 1: Obtain basic data of curved bridges: Obtain basic parameters of each curved bridge, including the total length of the curved bridge, the radius of the arc, the width of the curved bridge, and the material properties of the curved bridge. At the same time, obtain the environmental data of the curved bridge;

[0079] Step 2: Determine the connection frame parameters: Determine the connection frame parameters according to the basic parameters of each curved bridge, wherein the connection frame parameters include the connection frame type (such as I-beam and box beam, etc.), cross-sectional size, material properties (such as elastic modulus and yield strength, etc.), and the maximum allowable stress within the expected service life;

[0080] In this embodiment, the maximum allowable stress is determined in step 2, specifically:

[0081] Determine the material yield strength: obtain the material properties of the connecting frame and extract the yield strength corresponding to the material properties;

[0082] Fatigue analysis: Evaluate the fatigue life of the connector under repeated loads, and calculate the fatigue life of the connector based on the fatigue curve and the stress amplitude of the connector;

[0083] Determine the design safety factor: Determine the safety factor of the connecting frame according to the design specifications and safety standards:

[0084] Calculate the maximum allowable stress: Calculate the maximum allowable stress based on the yield strength and safety factor of the material, and determine the maximum allowable stress limit based on the fatigue life and stress amplitude of the connector;

[0085] Verification and adjustment: Compare the calculated maximum allowable stress with the expected stress of the connecting frame under the actual working environment. If the expected stress exceeds the maximum allowable stress, adjust the connecting frame, such as increasing the cross-sectional size, replacing higher strength materials, or changing the layout of the connecting frame, to ensure the safety of the connecting frame;

[0086] Step 3: Establish a force analysis model: Establish a force analysis model of the curved bridge and the connecting frame based on the basic parameters of each curved bridge and the corresponding connecting frame parameters. Apply corresponding forces and displacements to the force analysis model based on environmental data, including static loads, live loads, wind loads, temperature effects, etc. Specifically:

[0087] Model construction: Build a 3D model of the curved bridge based on the basic parameters of each curved bridge, including the main beam, cross beam, longitudinal beam, piers, supports, etc. Superimpose each component of the connecting frame in the 3D model of the curved bridge, including connectors, nodes, etc., and define material properties for the curved bridge and the connecting frame;

[0088] Apply loads: According to the type and performance of the connecting frame, set corresponding boundary conditions and constraints to ensure that the application of loads conforms to the actual situation. Based on the boundary conditions, apply loads to the three-dimensional model of the curved bridge with defined material properties. The loads include: static loads, including permanent loads such as the dead weight of the curved bridge, bridge deck pavement, and guardrails, which are applied uniformly or according to actual distribution on the model according to the design data. Live loads: Estimate vehicle loads based on traffic data, use standard vehicle models or custom vehicle models for loading, consider changes in traffic flow in different lanes and different time periods, and conduct multi-condition analysis. Wind loads: Calculate the wind pressure coefficient based on the wind speed and wind direction in the climatic conditions, apply wind loads to the curved bridge model, and consider changes in wind direction and the windward area of ​​the curved bridge. Temperature effect: Consider the thermal expansion and contraction effects of the curved bridge material caused by temperature changes, and analyze the influence of temperature gradient on the curved bridge structure, such as warping of the bridge deck, stress redistribution, etc. Displacement: Consider the displacement caused by foundation settlement, earthquake, etc., set appropriate displacement boundary conditions in the model to simulate actual displacement conditions;

[0089] Model optimization: Run the 3D model based on the applied load and perform force analysis to calculate the stress, strain, displacement, etc. of the curved bridge and the connecting frame under various working conditions. Evaluate the force performance of the curved bridge and the connecting frame based on the analysis results, optimize the 3D model based on the evaluation results, and improve the safety and durability of the curved bridge;

[0090] Step 4: Force analysis and calculation: Determine the distribution position of the connector on the curved bridge based on the equal arc length method, calculate the load borne by each connector, and calculate the actual stress of each connector at each connection node based on the force analysis model, including bending moment, shear force, axial force, etc.;

[0091] Step 5: Evenly distributed positioning of the connecting frames: Evaluate the bearing capacity of the connecting frames based on their calculation results, determine the maximum allowable spacing of the connecting frames, evenly arrange the connecting frames according to the maximum allowable spacing and the principle of equal distribution, and adjust the length and angle of the connecting frames according to the spacing of the curved bridge.

[0092] In this embodiment, by accurately calculating the bearing capacity and maximum allowable spacing of the connecting frame, it is ensured that the connecting frame can meet the structural safety requirements under all working conditions. The uniform distribution of the connecting frame is conducive to the uniform transfer of the load, reducing local stress concentration, and improving the stability and durability of the overall structure. The design defects are discovered in time through three-dimensional model optimization. Accurate force analysis and design reduce the maintenance needs and frequency of the curved bridge during operation, avoid rework and modification in actual construction, reduce unnecessary material waste, and reduce construction costs.

[0093] In this embodiment, the distribution position of the connecting frame on the curved bridge is determined in step 4, specifically:

[0094] Calculate the total arc length of the curved bridge: Calculate the radius and total arc length of the curved bridge based on the basic parameters of the curved bridge. The formula is as follows:

[0095] L = R * θ

[0096] Where: L represents the total arc length of the arc bridge; R represents the radius of the arc bridge; θ represents the radian of the arc bridge;

[0097] Determine the number of connectors: Determine the total number of connectors required based on the design specifications and the total arc length of the curved bridge;

[0098] Equal arc length division: The total arc length of the arc bridge is divided into segments based on the total number of connectors. According to the equal arc length principle, it is evenly divided from one end of the arc bridge, and the installation position of each connector is marked on the arc edge of the arc bridge;

[0099] When marking the position of each connector, adjust the connector based on the location attributes of each curved bridge, such as the turning point, support point or connection point with other structures of the curved bridge. These locations may require additional reinforcement or adjustment of the position of the connector to ensure the overall stability and safety of the structure;

[0100] Connector positioning: Calculate the specific coordinate position of each connector on the curved bridge based on the marked position and determine it as a connection node to ensure that the position of each connector can meet the uniformity and stability requirements of the curved bridge structure. Calculate the load borne by each connector and distribute it reasonably according to the distribution characteristics of the load.

[0101] Calculate the actual stress of the connection node: Based on the load results assigned to each connection frame, calculate the bending moment, shear force and axial force of each connection frame at each connection node, analyze the stress distribution at the node, and ensure that the force of each connection node is within the allowable range of material properties;

[0102] In this embodiment, the force analysis calculation in step 4 further includes:

[0103] Based on the constructed 3D model, each connection node is deduced to determine the vertical load and lateral load of each connection node under different loads, and the stress state of each connection node under load is analyzed, including compression, tension and shear;

[0104] Based on the vertical load and lateral load of the connection node, the initial bending moment of the connection node under the load is calculated, and the amplification effect coefficient is calculated based on the influence of the connection node deformation on the bending moment;

[0105] According to the increase effect coefficient and the initial pressure strength, the maximum pressure strength of each connection node is determined, and each connection node is qualified according to the maximum pressure strength;

[0106] Obtain the maximum compressive strength and maximum allowable stress of the connecting frame in the arc steel structure, and determine the maximum compressive strength of each connecting node by combining the amplification effect coefficient of the deformation bending moment of each connecting node;

[0107] Obtaining the target pressure value of each connection node under different working conditions when the connection node is deduced, and comparing the target pressure value with the maximum pressure strength of the connection node to determine whether the connection node is qualified;

[0108] When the target pressure value of the connection node is less than or equal to the maximum pressure strength, the connection node is judged to be qualified; otherwise, the connection node is judged to be unqualified, and the unqualified connection node is processed, such as optimizing the node design, improving its bearing capacity, adjusting the distribution position or number of the connection frame to reduce the force at the node, or using higher strength materials or improving the node connection method.

[0109] In this embodiment, the position of the connecting frame is determined by the principle of equal arc length division, which helps to achieve uniform distribution of loads on the curved bridge, reduce local stress concentration, and improve the overall force-bearing performance of the curved bridge. Adjusting and strengthening the connecting frame at key positions of the curved bridge can significantly improve the overall stability and safety of the structure. The actual stress on each connecting node is calculated to ensure that the design of the connecting node meets the allowable range of material properties, thereby ensuring the safety of the structure. By selecting qualified connecting nodes, the safety of the connecting nodes is ensured, and the reliability and durability of the entire curved bridge structure are improved.

[0110] Specifically, obtaining the enlarged effect coefficient of the connection node corresponding to the connection frame in the arc steel structure includes:

[0111] Extracting first parameter data of the connecting frame in the arc-shaped steel structure, and using the first parameter data to obtain an adjustment coefficient for adjusting the collective deformation and stress concentration on the connecting frame, wherein the first parameter data includes an average curvature of the connecting frame in the arc-shaped steel structure and an average thickness of the connecting frame in the arc-shaped steel structure;

[0112] Extracting second parameter data of the connecting frame in the arc-shaped steel structure, and using the second parameter data to obtain the influence coefficient of the material elastic modulus of the connecting frame in the arc-shaped steel structure; wherein the second parameter data includes the Poisson's ratio and the elastic modulus of the material of the connecting frame in the arc-shaped steel structure;

[0113] The geometric deformation coefficient and local stress concentration coefficient of the connecting frame in the arc steel structure are retrieved from the database;

[0114] The adjustment coefficient for adjusting the collective deformation and stress concentration on the connecting frame and the influence coefficient of the material elastic modulus of the connecting frame in the arc-shaped steel structure are combined with the geometric deformation coefficient and the local stress concentration coefficient to obtain the enlargement effect coefficient of the connecting frame corresponding to the connection node in the arc-shaped steel structure;

[0115] The enlarged effect coefficient of the connection node corresponding to the connection frame in the arc-shaped steel structure is obtained by the following formula:

[0116] ;

[0117] Wherein, Q represents the enlarged effect coefficient of the connecting frame corresponding to the connecting node in the arc steel structure; ζ represents the preset velocity dependence coefficient; ξ represents the preset temperature influence coefficient; v represents the stress loading rate; M represents the elastic modulus of the material; T d Indicates the ambient temperature of the connecting frame in the current arc steel structure; T b Indicates the ideal working environment of the connecting frame in the arc steel structure; v b It represents the preset stress loading rate reference value; β represents the adjustment coefficient for adjusting the collective deformation and stress concentration on the connecting frame; δ represents the influence coefficient of the material elastic modulus; G and C represent the geometric deformation coefficient and the local stress concentration coefficient.

[0118] The technical effect of the above technical solution is: by comprehensively considering various parameters of the connecting frame in the arc steel structure, including average curvature, average thickness, Poisson's ratio of the material, elastic modulus, etc., as well as geometric deformation coefficient and local stress concentration coefficient, the solution can more accurately evaluate the amplification effect coefficient of the connecting frame corresponding to the connecting node. This helps to more accurately understand the behavioral characteristics of the connecting node under stress. By accurately evaluating the amplification effect coefficient, it is possible to more effectively predict the deformation and stress concentration that may occur in the connecting node when it is stressed, so as to take corresponding measures to enhance the safety and stability of the structure. This is of great significance for preventing structural failure and ensuring the safety of personnel.

[0119] This scheme not only takes into account the geometric and material properties of the connection frame itself, but also introduces dynamic factors such as the velocity dependence coefficient and the temperature influence coefficient, making the evaluation results closer to the actual working conditions. This helps to have a more comprehensive understanding of the performance of the connection nodes under different conditions. By accurately evaluating the increase effect coefficient, it can provide stronger support for the design and construction of curved steel structures. Designers can optimize the design of the connection nodes based on the evaluation results to improve the overall performance and safety of the structure; construction personnel can take corresponding construction measures based on the evaluation results to ensure the stability and safety of the structure.

[0120] In summary, the above technical scheme can more accurately evaluate the enlargement effect coefficient of the connecting frame corresponding to the connection node in the arc steel structure by comprehensively considering various factors, thereby improving the safety and stability of the structure and optimizing the design and construction process.

[0121] Specifically, extracting first parameter data of the connecting frame in the arc-shaped steel structure, and using the first parameter data to obtain an adjustment coefficient for adjusting the collective deformation and stress concentration on the connecting frame, includes:

[0122] Extracting the average curvature of the connecting frame in the arc-shaped steel structure;

[0123] Extracting the average thickness of the connecting frame in the arc-shaped steel structure;

[0124] Extracting the maximum stress of the connecting frame in the arc-shaped steel structure under the most unfavorable loading condition in the current environment;

[0125] The adjustment coefficient for adjusting the collective deformation and stress concentration on the connecting frame is obtained by using the average curvature and average thickness of the connecting frame in the arc-shaped steel structure in combination with the maximum stress of the connecting frame in the most unfavorable loading condition in the current environment;

[0126] The adjustment coefficient is obtained by the following formula:

[0127] ;

[0128] Wherein, β represents the adjustment coefficient; λ represents the complexity coefficient, and its value range is 0.1-5; k represents the average curvature of the connecting frame in the arc steel structure; t represents the average thickness of the connecting frame in the arc steel structure; α max Indicates the maximum stress of the connecting frame in the arc steel structure under the most unfavorable loading condition; α y represents the yield strength corresponding to the material of the connecting frame in the arc steel structure; L represents the length of the connecting frame in the arc steel structure; R represents the average curvature radius of the connecting frame in the arc steel structure; θ represents the curvature influence adjustment coefficient, and the value range of the curvature influence adjustment coefficient is 0-2.

[0129] The technical effect of the above technical solution is: by extracting key parameters such as the average curvature, average thickness and maximum stress of the connecting frame in the arc steel structure under the most unfavorable loading conditions, and combining multiple factors such as the complexity coefficient and the curvature influence adjustment coefficient, the solution can more accurately calculate the adjustment coefficient for adjusting the collective deformation and stress concentration on the connecting frame. This helps to more accurately reflect the behavioral characteristics of the connecting frame under actual stress conditions. Accurate calculation of the adjustment coefficient is crucial for structural analysis. It can help engineers more accurately predict the deformation and stress concentration that may occur in the connecting frame when subjected to stress, thereby improving the accuracy of structural analysis.

[0130] By accurately calculating the adjustment coefficient, the bearing capacity and safety performance of the connection node can be evaluated more effectively. This helps engineers to promptly identify potential safety hazards and take appropriate measures to enhance the safety of the structure. Accurate calculation of the adjustment coefficient can provide stronger support for the design and construction of curved steel structures. Designers can optimize the design of the connection nodes according to the adjustment coefficient to improve the overall performance and safety of the structure; construction personnel can take appropriate construction measures according to the adjustment coefficient to ensure the stability and safety of the structure. This scheme not only takes into account the geometry and material properties of the connection frame itself, but also introduces multiple factors such as the maximum stress under the most unfavorable loading conditions, the complexity coefficient, and the curvature effect adjustment coefficient, so that the calculation results are closer to the actual working conditions. This helps to have a more comprehensive understanding of the performance of the connection nodes under different conditions.

[0131] In summary, the above technical solution improves the accuracy of structural analysis and enhances the safety of the structure by accurately calculating the adjustment coefficient, and provides stronger support for the design and construction of curved steel structures. At the same time, the solution also takes into account a variety of influencing factors, making the calculation results more comprehensive and reliable.

[0132] Specifically, extracting the second parameter data of the connecting frame in the arc-shaped steel structure, and using the second parameter data to obtain the material elastic modulus influence coefficient of the connecting frame in the arc-shaped steel structure includes:

[0133] Extracting the Poisson's ratio of the material of the connecting frame in the arc-shaped steel structure;

[0134] Extracting the elastic modulus of the material of the connecting frame in the arc-shaped steel structure;

[0135] Retrieving a preset elastic modulus reference value from a database;

[0136] Obtaining the influence coefficient of the material elastic modulus of the connecting frame in the arc-shaped steel structure by using the Poisson's ratio of the material of the connecting frame in the arc-shaped steel structure and the elastic modulus of the material in combination with a preset elastic modulus reference value;

[0137] The influence coefficient of the material elastic modulus of the connecting frame in the arc-shaped steel structure is obtained by the following formula:

[0138] ;

[0139] Among them, δ represents the influence coefficient of the material elastic modulus; M represents the elastic modulus of the material; M ref Indicates the reference value of elastic modulus; α max Indicates the maximum stress of the connecting frame in the arc steel structure under the most unfavorable loading condition; α e represents the maximum allowable stress of the connecting frame in the arc steel structure; a and b represent the first adjustment factor and the second adjustment factor; and the first adjustment factor and the second adjustment factor are obtained by the following formula:

[0140] ;

[0141] Where a represents the first adjustment factor; D min Indicates the minimum spacing of holes on the connecting frame in the curved steel structure (the holes include the installation positions of screws or bolts, etc.); D crit represents the preset critical spacing size; ρ represents the hole density on the connecting frame in the arc steel structure; ρ r Indicates the reference value of hole density on the connecting frame in the curved steel structure;

[0142] ;

[0143] Wherein, b represents the second adjustment factor; M represents the elastic modulus of the material; α y It represents the yield strength of the material of the connecting frame in the arc steel structure; ω represents the adjustment constant coefficient, and its value range is (0,1].

[0144] The technical effect of the above technical solution is: the introduction of the material elastic modulus influence coefficient (δ) can accurately quantify the influence of the elastic modulus of the connecting frame material in the arc steel structure on the overall structural performance. By considering the difference between the actual elastic modulus (M) of the material and the preset elastic modulus reference value (Mref), as well as the relationship between the maximum stress (αmax) and the maximum allowable stress (αe), the technical solution provides a more detailed and accurate evaluation method.

[0145] At the same time, the technical solution further considers the influence of holes on the connecting frame on the material properties by introducing the first adjustment factor (a) and the second adjustment factor (b). The presence of holes (such as the installation position of screws or bolts) will change the local stress distribution and bearing capacity of the material. Therefore, by considering the minimum spacing (Dmin) of holes, the critical spacing size (Dcrit), the hole density (ρ) and its reference value (ρr), the technical solution can more comprehensively evaluate the actual performance of the connecting frame.

[0146] By comprehensively considering multiple factors such as the elastic modulus, Poisson's ratio, hole distribution and stress state of the material, the technical solution can more accurately predict the behavioral characteristics of the connecting frame under stress, thereby improving the accuracy and reliability of structural analysis. This is of great significance for ensuring the safety and stability of the curved steel structure. The calculation method of the material elastic modulus influence coefficient and adjustment factor provided by the technical solution can provide strong support for engineers in the process of material selection and structural design. Engineers can choose more suitable materials and optimize structural design based on the calculation results to improve the overall performance and economic benefits of the structure. The formulas and parameters in the technical solution take into account the impact of different working conditions and environmental conditions on the performance of the connecting frame, such as stress loading conditions, ambient temperature, etc. This makes the technical solution more adaptable and flexible, and can be applied to various complex and changeable practical projects.

[0147] In summary, the above technical solutions provide strong support for the design, analysis and optimization of curved steel structures by accurately quantifying the influence of material elastic modulus, considering the impact of holes on material properties, improving the accuracy and reliability of structural analysis, optimizing material selection and structural design, and adapting to different working conditions and environmental conditions.

[0148] In this embodiment, the length and angle of the connecting frame are adjusted according to the spacing of the arc bridge in step 5, specifically:

[0149] Determine the connection area between two curved bridges based on the 3D model of each curved bridge, obtain the geometric shape and size of the connection area, and analyze the stress characteristics and load transfer path of the area;

[0150] Determine the location and number of connecting frames in the connection area based on the length and maximum allowable spacing of each curved bridge;

[0151] According to the curvature of the connection area and the position of the connecting frame, the actual length of each connecting frame is calculated, and the actual angle of the connecting frame is adjusted according to the curvature of the two curved bridges to achieve a smooth transition;

[0152] The connection method between the two curved bridges is matched according to the actual length and actual angle of the connecting frame, such as welding, bolt connection or other mechanical connection methods, to ensure that the connection method can not only meet the structural force requirements but also facilitate construction and maintenance. The layout of the connecting frame in the connection area is simulated and verified, and the length, angle and distribution of the connecting frame are adjusted according to the simulation results.

[0153] In this embodiment, by accurately calculating the actual length and angle of the connecting frame, a smooth transition of the connecting area between the two curved bridges can be ensured, stress concentration or structural defects caused by improper connection can be avoided, and the load can be effectively transferred from one curved bridge to another. Combined with a suitable connection method, the reliability and stability of the connecting area are improved, the potential risk of failure is reduced, and the connecting frames between the two curved bridges are ensured to be evenly distributed and the length is accurately calculated, thereby achieving the unity of structural safety, stability and functionality.

[0154] The above description is only a preferred specific implementation manner of the present invention, but the protection scope of the present invention is not limited thereto. Any technician familiar with the technical field can make equivalent replacements or changes according to the technical scheme and inventive concept of the present invention within the technical scope disclosed by the present invention, which should be covered by the protection scope of the present invention.

Claims

1. A spacing calculation method for achieving equal distribution of connecting frames of an arc-shaped steel structure bridge, characterized in that: The following steps are involved: Step 1: Obtain basic parameters of the curved bridge: Obtain basic parameters of each curved bridge, including the total length of the curved bridge, the radius of the arc, the width of the curved bridge, and the material properties of the curved bridge. At the same time, obtain the environmental data of the curved bridge; Step 2: Determine the connection frame parameters: Determine the connection frame parameters according to the basic parameters of each curved bridge, wherein the connection frame parameters include the connection frame type, cross-sectional dimensions, material properties, and maximum allowable stress within the expected service life; Step 3: Establish a force analysis model: Establish a force analysis model of the curved bridge and the connecting frame based on the basic parameters of each curved bridge and the corresponding connecting frame parameters, and apply corresponding forces and displacements to the force analysis model based on environmental data; Step 4: Force analysis and calculation: Determine the distribution position of the connector on the curved bridge based on the equal arc length method, calculate the load borne by each connector, and calculate the actual stress of each connector at each connection node based on the force analysis model; Step 5: Evenly distributed positioning of the connecting frames: Based on the calculation results of the connecting frames, the load-bearing capacity is evaluated, the maximum allowable spacing of the connecting frames is determined, the connecting frames are evenly arranged according to the maximum allowable spacing and the principle of even distribution, and the length and angle of the connecting frames are adjusted according to the spacing of the curved bridge; In step 3, a force analysis model is established, specifically: Model construction: Build a 3D model of the curved bridge according to the basic parameters of each curved bridge, superimpose each component of the connecting frame in the 3D model of the curved bridge, and define material properties for the curved bridge and the connecting frame; Apply loads: according to the type and performance of the connector, set corresponding boundary conditions and constraints, and apply loads to the three-dimensional model of the curved bridge with defined material properties based on the boundary conditions. The loads include: dead load, live load, wind load, temperature effect and displacement; Model optimization: Run the 3D model based on the applied load and perform stress analysis. Evaluate the stress performance of the curved bridge and the connecting frame based on the analysis results, and optimize the 3D model based on the evaluation results. The force analysis calculation in step 4 also includes: Based on the constructed 3D model, each connection node is deduced to determine the vertical load and lateral load of each connection node under different loads, and the stress state of each connection node under load is analyzed; Based on the vertical load and lateral load of the connection node, the initial bending moment of the connection node under the load is calculated, and the amplification effect coefficient is calculated based on the influence of the connection node deformation on the bending moment; According to the increase effect coefficient and the initial pressure strength, the maximum pressure strength of each connection node is determined, and each connection node is qualified according to the maximum pressure strength; Each connection node is screened for eligibility. The specific process includes: Obtain the maximum compressive strength and maximum allowable stress of the connecting frame in the arc steel structure, and determine the maximum compressive strength of each connecting node by combining the amplification effect coefficient of the deformation bending moment of each connecting node; Obtaining the target pressure value of each connection node under different working conditions when the connection node is deduced, and comparing the target pressure value with the maximum pressure strength of the connection node to determine whether the connection node is qualified; When the target pressure value of the connection node is less than or equal to the maximum pressure strength, the connection node is determined to be qualified; otherwise, the connection node is determined to be unqualified, and the unqualified connection node is processed; Obtain the enlarged effect coefficient of the corresponding connection node of the connecting frame in the curved steel structure, including: Extracting first parameter data of the connecting frame in the arc-shaped steel structure, and using the first parameter data to obtain an adjustment coefficient of the connecting frame corresponding to the collective deformation and stress concentration, wherein the first parameter data includes an average curvature of the connecting frame in the arc-shaped steel structure and an average thickness of the connecting frame in the arc-shaped steel structure; Extracting second parameter data of the connecting frame in the arc-shaped steel structure, and using the second parameter data to obtain the influence coefficient of the material elastic modulus of the connecting frame in the arc-shaped steel structure; wherein the second parameter data includes the Poisson's ratio and the elastic modulus of the material of the connecting frame in the arc-shaped steel structure; The geometric deformation coefficient and local stress concentration coefficient of the connecting frame in the arc steel structure are retrieved from the database; The enlarged effect coefficient of the connecting frame corresponding to the collective deformation and stress concentration is obtained by using the adjustment coefficient of the connecting frame corresponding to the collective deformation and stress concentration and the influence coefficient of the material elastic modulus of the connecting frame in the arc steel structure in combination with the geometric deformation coefficient and the local stress concentration coefficient; The enlarged effect coefficient of the connection node corresponding to the connection frame in the arc-shaped steel structure is obtained by the following formula: ； Wherein, Q represents the enlarged effect coefficient of the connecting frame corresponding to the connecting node in the arc steel structure; ζ represents the preset velocity dependence coefficient; ξ represents the preset temperature influence coefficient; v represents the stress loading rate; M represents the elastic modulus of the material; T d Indicates the ambient temperature of the connecting frame in the current arc steel structure; T b Indicates the ideal working environment temperature of the connecting frame in the arc steel structure; v b represents the preset stress loading rate reference value; β represents the adjustment coefficient of the connecting frame corresponding to the collective deformation and stress concentration; δ represents the influence coefficient of the material elastic modulus; G and C represent the geometric deformation coefficient and the local stress concentration coefficient; Extracting first parameter data of the connecting frame in the arc-shaped steel structure, and using the first parameter data to obtain an adjustment coefficient of the connecting frame for adjusting the collective deformation and stress concentration, including: Extracting the average curvature of the connecting frame in the arc-shaped steel structure; Extracting the average thickness of the connecting frame in the arc-shaped steel structure; Extracting the maximum stress of the connecting frame in the arc-shaped steel structure under the most unfavorable loading condition in the current environment; The adjustment coefficient of the connecting frame corresponding to the collective deformation and stress concentration is obtained by using the average curvature and average thickness of the connecting frame in the arc-shaped steel structure in combination with the maximum stress of the connecting frame in the arc-shaped steel structure under the most unfavorable loading condition in the current environment; The adjustment coefficient is obtained by the following formula: ； Wherein, β represents the adjustment coefficient; λ represents the complexity coefficient, and its value range is 0.1-5; k represents the average curvature of the connecting frame in the arc steel structure; t represents the average thickness of the connecting frame in the arc steel structure; α max Indicates the maximum stress of the connecting frame in the arc steel structure under the most unfavorable loading condition; α y represents the yield strength corresponding to the material of the connecting frame in the arc steel structure; L represents the length of the connecting frame in the arc steel structure; R represents the average curvature radius of the connecting frame in the arc steel structure; θ represents the curvature influence adjustment coefficient, and the curvature influence adjustment coefficient has a value range of 0-2; In step 5, the length and angle of the connecting frame are adjusted according to the spacing of the arc bridge, specifically: Determine the connection area between two curved bridges based on the 3D model of each curved bridge, obtain the geometric shape and size of the connection area, and analyze the stress characteristics and load transfer path of the area; Determine the location and number of connecting frames in the connection area based on the length and maximum allowable spacing of each curved bridge; According to the curvature of the connection area and the position of the connecting frame, the actual length of each connecting frame is calculated, and the actual angle of the connecting frame is adjusted according to the curvature of the two curved bridges; Match the connection mode between the two curved bridges according to the actual length and angle of the connecting frame, and simulate and verify the layout of the connecting frame in the connection area. According to the simulation results, adjust the length, angle and distribution of the connecting frame; Extracting second parameter data of the connecting frame in the arc-shaped steel structure, and using the second parameter data to obtain a material elastic modulus influence coefficient of the connecting frame in the arc-shaped steel structure, including: Extracting the Poisson's ratio of the material of the connecting frame in the arc-shaped steel structure; Extracting the elastic modulus of the material of the connecting frame in the arc-shaped steel structure; Retrieving a preset elastic modulus reference value from a database; Obtaining the influence coefficient of the material elastic modulus of the connecting frame in the arc-shaped steel structure by using the Poisson's ratio of the material of the connecting frame in the arc-shaped steel structure and the elastic modulus of the material in combination with a preset elastic modulus reference value; The influence coefficient of the material elastic modulus of the connecting frame in the arc-shaped steel structure is obtained by the following formula: ； Among them, δ represents the influence coefficient of the material elastic modulus; F represents the Poisson's ratio of the material; M represents the elastic modulus of the material; M ref Indicates the reference value of elastic modulus; α max Indicates the maximum stress of the connecting frame in the arc steel structure under the most unfavorable loading condition; α e represents the maximum allowable stress of the connecting frame in the arc steel structure; a and b represent the first adjustment factor and the second adjustment factor; and the first adjustment factor and the second adjustment factor are obtained by the following formula: ； Where a represents the first adjustment factor; D min Indicates the minimum spacing of holes on the connecting frame in the curved steel structure; D crit represents the preset critical spacing size; ρ represents the hole density on the connecting frame in the arc steel structure; ρ r Indicates the reference value of hole density on the connecting frame in the curved steel structure; ； Wherein, b represents the second adjustment factor; M represents the elastic modulus of the material; α y It represents the yield strength of the material of the connecting frame in the arc steel structure; ω represents the adjustment constant coefficient, and its value range is (0,1).

2. The spacing calculation method for realizing equal distribution of connecting frames of an arc-shaped steel structure bridge according to claim 1 is characterized in that: The maximum allowable stress is determined in step 2, specifically: Determine the material yield strength: obtain the material properties of the connecting frame and extract the yield strength corresponding to the material properties; Fatigue analysis: Evaluate the fatigue life of the connector under repeated loads, and calculate the fatigue life of the connector based on the fatigue curve and the stress amplitude of the connector; Determine the design safety factor: Determine the safety factor of the connecting frame according to the design specifications and safety standards; Calculate the maximum allowable stress: Calculate the maximum allowable stress based on the yield strength and safety factor of the material, and determine the maximum allowable stress limit based on the fatigue life and stress amplitude of the connector; Verification and adjustment: Compare the calculated maximum allowable stress with the expected stress of the connecting frame under the actual working environment. If the expected stress exceeds the maximum allowable stress, adjust the connecting frame.

3. The spacing calculation method for realizing equal distribution of connecting frames of arc-shaped steel structure bridges according to claim 1 is characterized in that: The distribution position of the connecting frame on the curved bridge is determined in step 4, specifically: Calculate the total arc length of the curved bridge: Calculate the radius and total arc length of the curved bridge based on the basic parameters of the curved bridge. The formula is as follows: L = R * θ Where: L represents the total arc length of the arc bridge; R represents the radius of the arc bridge; θ represents the radian of the arc bridge; Determine the number of connectors: Determine the total number of connectors required based on the design specifications and the total arc length of the curved bridge; Equal arc length division: The total arc length of the arc bridge is divided into segments based on the total number of connectors, and evenly divided from one end of the arc bridge according to the equal arc length principle. The installation position of each connector is marked on the arc edge of the arc bridge. When marking the position of each connector, the connector is adjusted based on the position attribute of each arc bridge; Connector positioning: Calculate the specific coordinate position of each connector on the curved bridge based on the marked position and determine it as a connection node. Calculate the load borne by each connector and distribute it reasonably according to the distribution characteristics of the load. Calculate the actual stress of the connection node: Based on the load results distributed on each connection frame, calculate the bending moment, shear force and axial force of each connection frame at each connection node, analyze the stress distribution at the node, and ensure that the force on each connection node is within the allowable range of material properties.

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