Cantilever pouring construction method and system based on finite element method

Abstract

The application relates to the technical field of cantilever pouring construction, in particular to a cantilever pouring construction method and system based on a finite element method. The method comprises the following steps: constructing a multi-scale finite element analysis model, simulating structural responses in different construction stages under the condition of each age stage through the constructed multi-scale finite element analysis model, determining control parameters of the cantilever pouring construction based on the simulation results; and comparing real-time sensing data with the control parameters of the time step in the multi-scale finite element model constructed before construction, forming a structural dynamic error vector, performing dynamic feedback adjustment of the cantilever pouring construction based on the structural dynamic error vector, and determining the best construction path of the cantilever pouring construction. Through the process parameter inversion technology based on the structural response ternary function group, the application realizes accurate control of response quantities such as structural principal stress, deflection and node axial force in the construction process, and improves the bridge completion precision and structural performance consistency of the cantilever pouring.

Description

Technical Field

[0001] This invention relates to the field of cantilever casting construction technology, specifically to a cantilever casting construction method and system based on the finite element method. Background Technology

[0002] In existing cantilever construction techniques, control parameters (such as tension force and reinforcement ratio) and segmental pouring sequence are typically set based on construction experience or static planning strategies, lacking a mechanism for dynamic adjustment based on structural mechanical behavior. The coupling effect between structural response and environmental disturbances during construction is not fully considered, leading to:

[0003] Large errors in structural deformation prediction lead to quality problems such as segmental misalignment and stress concentration.

[0004] It lacks dynamic control capabilities and has poor response to emergencies such as tension instability and temporary support settlement.

[0005] The construction path is fixed and rigid, and the impact of the path on the response evolution is not considered, resulting in problems such as suboptimal resource allocation;

[0006] The sensor data has not formed an effective control mechanism; the monitoring system only plays a recording role and does not participate in the decision-making of control strategies.

[0007] Therefore, existing technologies cannot achieve construction control parameter optimization and path adaptive adjustment closed loop guided by structural response. There is an urgent need for an integrated method that combines finite element response modeling, sensor feedback mechanism and path iterative optimization to overcome the above problems. Summary of the Invention

[0008] In view of the above-mentioned problems, the present invention is proposed.

[0009] To solve the above-mentioned technical problems, the present invention provides the following technical solution: a cantilever casting construction method based on the finite element method, comprising the following steps:

[0010] The design and initial control parameter inversion of the cantilever casting stage based on real-time finite element analysis are as follows:

[0011] During the construction preparation stage of the cantilever structure, a multi-scale finite element analysis model is constructed based on the design drawings and geological conditions. The multi-scale finite element analysis model is used to simulate the structural response at different construction stages and ages. Based on the simulation results, the control parameters for cantilever casting construction are determined.

[0012] Furthermore, the cantilever casting construction is carried out based on the determined control parameters of the cantilever casting construction, specifically as follows:

[0013] During the cantilever construction phase, the dynamic response state of the cast structure is monitored. Simultaneously, stress and displacement sensors deployed at the ends of the main beam, support nodes, and structural joints are used to collect real-time structural status data for each node. The real-time sensor data is then compared with the control parameters at the corresponding time step in the multi-scale finite element model constructed before construction to form a structural dynamic error vector. Based on the structural dynamic error vector, dynamic feedback adjustment is performed for the cantilever casting construction to determine the optimal construction path for the cantilever casting construction.

[0014] As a preferred embodiment of the cantilever casting construction method based on the finite element method described in this invention, the construction of the multi-scale finite element analysis model is specifically as follows:

[0015] Define the entire bridge structural domain If it includes two types of sub-regions, then we have:

[0016] in, This represents the simplified modeling region of the global structure, including the side spans and anchor areas. This indicates key local areas, including the pouring stage and connection nodes. The empty set represents the division of two sub-regions into which there is no overlap. This represents the entire bridge structural domain, which is the multi-scale finite element analysis model constructed.

[0017] As a preferred embodiment of the cantilever casting construction method based on the finite element method described in this invention, the control parameters for determining the cantilever casting construction based on simulation results are as follows:

[0018] For the constructed multi-scale finite element analysis model, the principal stress field, mid-span deflection curve, and axial force variation trend of the cantilever structure under each stage of growth are calculated, and a set of ternary functions for the cantilever structure response is constructed based on the calculation results.

[0019] Based on the constructed three-dimensional function set of cantilever structure response, the initial settings of stage reinforcement ratio, temporary tension force, and temporary support arrangement parameters are made, and a process parameter inversion model is established with the goal of minimizing inversion error.

[0020] As a preferred embodiment of the cantilever casting construction method based on the finite element method described in this invention, the specific steps of constructing the ternary function set of the cantilever structure response based on the calculation results are as follows:

[0021] According to the node In The stress tensor at time t is used to calculate the principal stress field of the cantilever structure under different growth stages. ;

[0022] According to the node In Calculate the mid-span deflection based on the vertical displacement components at time t. ;

[0023] According to the node In Calculate the axial force variation trend of the constrained node based on the normal stress components at time t. ;

[0024] Based on the calculation results, a set of ternary functions for the cantilever structure response is constructed, then we have:

[0025] in, Represents a node In The maximum principal stress response function at time t is the node In Principal stress field under constant-increasing state Indicates the mid-span node during the construction phase. The mid-span deflection is the curve formed by combining the mid-span deflections corresponding to all construction stages. Represents a node In The axial internal force at time t, and the trend of change of the axial internal force at the current node across all time points. This represents the set of ternary functions that represent the response of the constructed cantilever structure.

[0026] As a preferred embodiment of the cantilever casting construction method based on the finite element method described in this invention, the establishment of the process parameter inversion model is specifically as follows:

[0027] Based on the constructed ternary function set of the cantilever structure response, the objective function is constructed, and then we have:

[0028] Simultaneously, by establishing a set of process inversion parameters, we have:

[0029] If we set constraints with the goal of minimizing the inversion error, then we have:

[0030] Physical constraints on reinforcement ratio

[0031] Tension control constraints

[0032] Constraints on the placement of the support structure

[0033] in, This represents the established set of process inversion parameters. Indicates the first The longitudinal reinforcement ratio of the stage Indicates the first Stage tension, Indicates the first The location of the support structure at each stage. This represents the ternary function value of the cantilever structure response under the influence of process inversion parameters. This represents the ternary function value of the target cantilever structure's response. This represents the value of the constructed objective function. Indicates the ultimate tensile strength of the steel strand. This represents the total area of ​​the prestressing tendons. This indicates the maximum and minimum allowable distances for the support structure. This indicates the maximum and minimum values ​​of the longitudinal reinforcement ratio. This indicates the total pouring and construction time.

[0034] As a preferred embodiment of the cantilever casting construction method based on the finite element method described in this invention, the determination of the optimal construction path for cantilever casting construction is as follows:

[0035] The first-generation cantilever casting construction path set is determined based on the constructed control parameters.

[0036] Based on the first-generation cantilever casting construction path set, a set of on-site construction paths is constructed by combining sensors deployed at the ends of the main beam, support nodes, and structural joints with displacement sensors.

[0037] Based on the difference between each time step in the first-generation cantilever casting construction path set and the on-site construction path set, the inferior response path is determined.

[0038] Based on the determined inferior response path, an adaptive perturbation coefficient is added, and the set of second-generation cantilever casting construction paths is determined based on the added perturbation coefficient.

[0039] Based on the established set of second-generation cantilever casting construction paths, the optimal construction path for cantilever casting is determined using a feedback weight adjustment mechanism.

[0040] As a preferred embodiment of the cantilever casting construction method based on the finite element method described in this invention, the determination of the inferior response path is specifically as follows:

[0041] Based on the constructed cantilever structure response ternary function set, the control parameters are used as input parameters, and the set of cantilever casting construction nodes under the action of the control parameters is used as the cantilever casting construction foundation response path set, and set as the first generation cantilever casting construction path set.

[0042] Based on the response ternary function value corresponding to each time step in the first-generation cantilever casting construction path set, and simultaneously using sensors deployed at the ends of the main beam, support nodes, and structural joints, the real-time response status at the corresponding locations is collected, and the collected real-time response status is constructed into a set of on-site construction paths.

[0043] Calculate the difference between each time step in the first-generation cantilever casting construction path set and the on-site construction path set, and construct a dynamic error path set based on the differences corresponding to all time steps. The path with the largest error in the dynamic error path set is taken as the inferior response path.

[0044] As a preferred embodiment of the cantilever casting construction method based on the finite element method described in this invention, the determination of the second-generation cantilever casting construction path set is specifically as follows:

[0045] Based on the determined adverse response path, control parameters within the adverse response path are... Adding a perturbation coefficient, we have:

[0046] in, This represents the control parameters in the poor response path. This indicates that the added perturbation coefficient is set by the implementer based on the actual application scenario. This represents the disturbance control parameters, which are the control parameters after adding the disturbance coefficient;

[0047] Based on the disturbance control parameters, the disturbance control parameters are used as input parameters and re-input to the three-function set of cantilever structure response. The set of cantilever casting construction nodes under the action of the disturbance control parameters is used as the second-generation cantilever casting construction path set.

[0048] As a preferred embodiment of the cantilever casting construction method based on the finite element method described in this invention, the determination of the optimal construction path for cantilever casting construction using a feedback weight adjustment mechanism is as follows:

[0049] For the constructed second-generation cantilever casting construction path set, paths with error function values ​​lower than the first-generation inferior response paths are selected. Based on the selected paths, the real-time response states at the corresponding locations are re-acquired by increasing the sensor feedback weights at each node in the path. The error between the re-acquired real-time response states and the first-generation inferior response paths is recalculated. Based on the comparison of the two error results, the third-generation cantilever casting construction path is determined, specifically as follows:

[0050] If the error between the path corresponding to the sensor feedback weight adjustment and the first-generation inferior response path is less than the error between the path corresponding to the sensor feedback weight before adjustment and the first-generation inferior response path, then the path corresponding to the sensor feedback weight adjustment is the third-generation cantilever casting construction path, which is the optimal construction path for cantilever casting based on the finite element method. Conversely, if the error is less than the error, then the adjustment degree of the sensor feedback weight cannot construct the third-generation cantilever casting construction path. The adjustment degree of the sensor feedback weight should be readjusted until the third-generation cantilever casting construction path can be determined, and the determined third-generation cantilever casting construction path is taken as the optimal construction path for cantilever casting based on the finite element method.

[0051] As a preferred embodiment of the cantilever casting construction system based on the finite element method described in this invention, it includes: a control parameter determination module and a cantilever casting construction optimal path determination module.

[0052] The control parameter determination module is used to determine the control parameters for cantilever casting construction based on the constructed multi-scale finite element analysis model.

[0053] The optimal path determination module for cantilever casting construction is used to determine the optimal path for cantilever casting construction based on the determined control parameters and through an iterative optimization algorithm.

[0054] The beneficial effects of this invention are:

[0055] This invention achieves precise control of structural principal stress, deflection, and nodal axial force during construction by using process parameter inversion technology based on structural response ternary function sets, thereby improving the accuracy of cantilever bridge construction and the consistency of structural performance.

[0056] By constructing a dynamic response error feedback mechanism for the entire construction process, adaptive correction of tension force, reinforcement ratio and support layout parameters is achieved during the construction phase, enhancing the system's real-time adaptability to sudden working conditions and structural disturbances.

[0057] By introducing a multi-generation path response evolution algorithm and combining dynamic error judgment and path optimization rules, intelligent sorting and dynamic optimization of segmental casting paths are realized, thereby improving the level of intelligence in construction path decision-making.

[0058] By setting a response weight adjustment mechanism for key structural nodes, a closed-loop effect of sensor monitoring data in control parameter adjustment is achieved, improving the linkage efficiency and feedback accuracy between the monitoring system and the control system.

[0059] By constructing a closed-loop control architecture of "multi-scale finite element modeling - control parameter inversion - measured feedback correction - path dynamic update", the system-level automatic iteration and control self-convergence capability are realized, ensuring the high stability and robustness of the entire cantilever construction process. Attached Figure Description

[0060] To more clearly illustrate the technical solutions of the embodiments of the present invention, the drawings used in the following description of the embodiments will be briefly introduced. Obviously, the drawings described below are only some embodiments of the present invention. For those skilled in the art, other drawings can be obtained based on these drawings without creative effort. Wherein:

[0061] Figure 1 This is a schematic diagram of the overall method steps of the cantilever casting construction method based on the finite element method of the present invention. Detailed Implementation

[0062] To make the objectives, technical solutions, and advantages of the embodiments of the present invention clearer, the technical solutions of the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some, not all, of the embodiments of the present invention. All other embodiments obtained by those skilled in the art based on the embodiments of the present invention without creative effort are within the scope of protection of the present invention. Example 1

[0063] Reference Figure 1 This is the first embodiment of the present invention, providing a cantilever casting construction method based on the finite element method, including the following steps:

[0064] S1: Design and initial control parameter inversion of cantilever casting stage based on real-time finite element analysis.

[0065] Specifically, the design and initial control parameter inversion of the cantilever casting stage based on real-time finite element analysis is carried out during the cantilever structure construction preparation stage. Based on the design drawings and geological conditions, a multi-scale finite element analysis model is constructed. The constructed multi-scale finite element analysis model is used to simulate the structural response at different construction stages and at various ages. Based on the simulation results, the control parameters for cantilever casting construction are determined. The specific implementation is as follows:

[0066] Based on the design drawings and geological conditions, a multi-scale finite element analysis model is constructed, specifically as follows:

[0067] Define the entire bridge structural domain If it includes two types of sub-regions, then we have:

[0068] in, This represents the simplified modeling region of the global structure, including the side spans and anchor areas. This indicates key local areas, including the pouring stage and connection nodes. The empty set represents the division of two sub-regions into which there is no overlap. This represents the entire bridge structural domain, which is the multi-scale finite element analysis model constructed.

[0069] For the constructed multi-scale finite element analysis model, the principal stress field, mid-span deflection curve, and axial force variation trend of the cantilever structure under each stage of growth are calculated. Based on the calculation results, a ternary function set for the cantilever structure response is constructed, then...

[0070] For the constructed multi-scale finite element analysis model, a time distribution is built to match the pouring construction stages with time steps. Then, we have...

[0071] The pouring construction time is divided into At each time step, we have: ,in, This indicates the first time step of the partition. Indicates the first division Each time step

[0072] in, Indicates the first division Each time step This represents the set of completed pouring and casting construction stages, which is set by the implementers based on the actual application scenario. Indicates the first The completion stage of each pouring construction phase in time The stiffness matrix;

[0073] Based on the constructed multi-scale finite element analysis model, at each construction completion stage... Below, the principal stress field, mid-span deflection curve, and axial force variation trend of the constraint nodes of the cantilever structure under each stage of growth are calculated, specifically:

[0074] According to the node In Given the stress tensor at time t, calculate the principal stress fields of the cantilever structure under each stage of growth, and then we have:

[0075] in, Represents a node In The maximum principal stress response function at time t is the node In Principal stress field under constant-increasing state Represents a node In The stress tensor at time t, This represents the stress tensor transformation function, used to convert the stress tensor into its corresponding eigenvalues. This represents the maximum value function, used to extract the principal stress field under the growth state;

[0076] According to the node In Calculate the mid-span deflection curve based on the vertical displacement component at time t, and then we have:

[0077] in, Indicates the mid-span node during the construction phase. The mid-span deflection is the curve formed by combining the mid-span deflections corresponding to all construction stages. Represents a node In The vertical displacement component at time t. The spatial coordinates of the reference point across the cross-section are set by the implementers according to the actual application scenario.

[0078] According to the node In By calculating the normal stress components at time t, and then calculating the trend of axial force variation at the constrained nodes, we have:

[0079] in, Represents a node In The axial internal force at time t, and the trend of change of the axial internal force at the current node across all time points, represent the trend of axial force change at the current node. Represents a node In The axial normal stress component at time t is the stress component along the axis of the main beam. Represents a node The corresponding unit cross-sectional area;

[0080] Based on the calculation results, a set of ternary functions for the cantilever structure response is constructed, then we have:

[0081] in, Represents a node In The maximum principal stress response function at time t is the node In Principal stress field under constant-increasing state Indicates the mid-span node during the construction phase. The mid-span deflection is the curve formed by combining the mid-span deflections corresponding to all construction stages. Represents a node In The axial internal force at time t, and the trend of change of the axial internal force at the current node across all time points. This represents the set of ternary functions that represent the response of the constructed cantilever structure.

[0082] Based on the constructed three-dimensional function set of cantilever structure response, preliminary settings are made for the stage reinforcement ratio, temporary tension force, and temporary support arrangement parameters. With minimizing the inversion error as the objective, a process parameter inversion model is established, resulting in the following:

[0083] Based on the constructed ternary function set of the cantilever structure response, the objective function is constructed, and then we have:

[0084] Simultaneously, by establishing a set of process inversion parameters, we have:

[0085] If we set constraints with the goal of minimizing the inversion error, then we have:

[0086] Physical constraints on reinforcement ratio

[0087] Tension control constraints

[0088] Constraints on the placement of the support structure

[0089] in, This represents the established set of process inversion parameters. Indicates the first The longitudinal reinforcement ratio of the stage Indicates the first Stage tension, Indicates the first The location of the support structure at each stage. This represents the ternary function value of the cantilever structure response under the influence of process inversion parameters. This represents the ternary function value of the target cantilever structure's response. This represents the value of the constructed objective function. Indicates the ultimate tensile strength of the steel strand. This represents the total area of ​​the prestressing tendons. This indicates the maximum and minimum allowable distances for the support structure. This indicates the maximum and minimum values ​​of the longitudinal reinforcement ratio. This indicates the total pouring and construction time.

[0090] It should be noted that when the constructed objective function reaches its minimum value under the influence of the process inversion parameters, the parameters corresponding to the reinforcement ratio, tension force, and support arrangement position in the objective function are the control parameters.

[0091] S2: Perform cantilever casting construction based on the determined control parameters of cantilever casting construction.

[0092] Specifically, the cantilever casting construction based on determined control parameters involves, during the cantilever construction phase, monitoring the dynamic response of the cast structure and simultaneously collecting real-time structural status data from stress and displacement sensors deployed at the ends of the main beam, support nodes, and structural joints. This real-time sensor data is then compared with the control parameters at the corresponding time steps in the multi-scale finite element model constructed before construction to form a structural dynamic error vector. Dynamic feedback adjustments are then made based on this structural dynamic error vector to achieve adaptive adjustment of the cantilever casting path and a closed-loop control system for the entire construction process. The specific implementation is as follows:

[0093] Based on the constructed ternary function set of cantilever structure response, using control parameters as input parameters, and taking the set of cantilever casting construction nodes under the action of control parameters as the cantilever casting foundation response path set, and setting it as the first-generation cantilever casting construction path set, then we have:

[0094] Set the control parameter set as follows: ,

[0095] The construction time steps are set as follows: ;

[0096] The cantilever stage node set is as follows: ;

[0097] in, This represents the set of input control parameters. This indicates the input longitudinal reinforcement ratio. This represents the input tension. This indicates the location of the support structure as input. This indicates the first time step of the partition. Indicates the first division Each time step This represents the set of construction time steps. This represents the first node in the cantilever phase. Indicates the first stage of the cantilever phase 1 node This represents the set of nodes for the constructed cantilever phase.

[0098] The set of control parameters, the set of construction time steps, and the set of cantilever stage nodes are input into the constructed cantilever structure response ternary function set. The function output result corresponding to each cantilever stage node is the path node in the first generation cantilever casting construction path set. The function output results corresponding to all cantilever stage nodes are combined to form the first generation cantilever casting construction path set.

[0099] Based on each time step in the first-generation cantilever casting construction path set The corresponding ternary function value is collected, and the real-time response status at the corresponding locations is collected by sensors deployed at the ends of the main beam, support nodes, and structural joints, and the collected real-time response status is used to construct a set of on-site construction paths.

[0100] Calculate the difference between each time step in the first-generation cantilever casting construction path set and the on-site construction path set, and construct a dynamic error path set by the differences corresponding to all time steps. The path with the largest error in the dynamic error path set is taken as the inferior response path.

[0101] Based on the determined adverse response path, control parameters within the adverse response path are... Adding a perturbation coefficient, we have:

[0102] in, This represents the control parameters in the poor response path. This indicates that the added perturbation coefficient is set by the implementer based on the actual application scenario. This represents the disturbance control parameters, which are the control parameters after adding the disturbance coefficient;

[0103] Based on the disturbance control parameters, the disturbance control parameters are used as input parameters and re-inputted into the three-function group of cantilever structure response. The set of cantilever casting construction nodes under the action of the disturbance control parameters is used as the second-generation cantilever casting construction path set.

[0104] For the constructed second-generation cantilever casting construction path set, paths with error function values ​​lower than the first-generation inferior response paths are selected. Based on the selected paths, the real-time response states at the corresponding locations are re-acquired by increasing the sensor feedback weights at each node in the path. The error between the re-acquired real-time response states and the first-generation inferior response paths is recalculated. Based on the comparison of the two error results, the third-generation cantilever casting construction path is determined, specifically as follows:

[0105] If the error between the path corresponding to the sensor feedback weight adjustment and the first-generation inferior response path is less than the error between the path corresponding to the sensor feedback weight before adjustment and the first-generation inferior response path, then the path corresponding to the sensor feedback weight adjustment is the third-generation cantilever casting construction path, which is the optimal construction path for cantilever casting based on the finite element method. Conversely, if the error is less than the error, then the adjustment degree of the sensor feedback weight cannot construct the third-generation cantilever casting construction path. The adjustment degree of the sensor feedback weight should be readjusted until the third-generation cantilever casting construction path can be determined, and the determined third-generation cantilever casting construction path is taken as the optimal construction path for cantilever casting based on the finite element method. Example 2

[0106] As a first embodiment of the present invention, a cantilever casting construction system based on the finite element method is provided, including a control parameter determination module and a cantilever casting construction optimal path determination module;

[0107] Specifically, the control parameter determination module is used to determine the control parameters for cantilever casting construction based on the constructed multi-scale finite element analysis model; the optimal path determination module for cantilever casting construction is used to determine the optimal path for cantilever casting construction through an iterative optimization algorithm based on the determined control parameters.

[0108] Furthermore, the control parameter determination module receives construction drawings, structural layout parameters, and geological condition information to establish a multi-scale finite element analysis model covering the entire construction cycle. This model has the capability to perform high-precision stress analysis and staged loading response calculations for local segmental areas. The module extracts the principal stress field, mid-span deflection response curve, and axial force evolution trend at constraint nodes under different construction stages to construct a ternary function set for structural response. Using the minimum error between this function set and the target design response as the optimization objective, a process control parameter inversion model is established. A multi-round iterative optimization method is used to output the control parameters required for cantilever casting, including...

[0109] The segmental reinforcement ratio is used to constrain the bending stiffness of local segments; the age-dependent tension force is used to control the stress distribution of the main beam; and the bracket arrangement position is used to optimize the reaction path of temporary supports.

[0110] Ultimately, the control parameter determination module outputs a set of control parameters that meet the requirements of structural performance and construction technology, which serve as the core input basis for subsequent path planning and structural control.

[0111] The optimal path determination module for cantilever casting construction is used to dynamically evaluate the difference between the theoretical response path and the measured response path based on the output results of control parameters and in conjunction with real-time structural response data collected by stress and displacement sensors deployed at the ends of the main beam, support nodes, and key gap locations during construction. Specifically:

[0112] The optimal path determination module for cantilever casting construction first constructs a dynamic response error vector to determine whether there is a response deviation or abnormal growth trend in the current segment. If the error exceeds the preset tolerance threshold, a new set of control parameter disturbance samples is generated through a feedback adjustment mechanism, loaded into the finite element model for recalculation, and a second-generation response path set is formed.

[0113] Through the path response error screening mechanism, all paths are ranked according to their merits based on the structural response consistency score after feedback, and the path with the smallest error is selected as the new pouring path update strategy. At the same time, a weight adjustment mechanism for important structural nodes is introduced to improve the error sensitivity of key positions and enhance the adaptability of path screening to weak areas of the structure.

[0114] Finally, the module outputs a set of optimal segment casting path sorting functions that satisfy the current control parameters, response error control, and structural evolution trend, thereby realizing adaptive optimization of the casting path driven by structural behavior.

[0115] Furthermore, if the aforementioned function is implemented as a software functional unit and sold or used as an independent product, it can be stored in a computer-readable storage medium. Based on this understanding, the technical solution of the present invention, or the part that contributes to the prior art, or a part of the technical solution, can be embodied in the form of a software product. This computer software product is stored in a storage medium and includes several instructions to cause a computer device (which may be a personal computer, server, or network device, etc.) to execute all or part of the steps of the methods described in the various embodiments of the present invention. The aforementioned storage medium includes various media capable of storing program code, such as USB flash drives, portable hard drives, read-only memory (ROM), random access memory (RAM), magnetic disks, or optical disks.

[0116] The logic and / or steps represented in the flowchart or otherwise described herein, for example, can be considered as a sequenced list of executable instructions for implementing logical functions, and can be embodied in any computer-readable medium for use by, or in conjunction with, an instruction execution system, apparatus, or device (such as a computer-based system, a processor-including system, or other system that can fetch and execute instructions from, an instruction execution system, apparatus, or device). For the purposes of this specification, "computer-readable medium" can be any means that can contain, store, communicate, propagate, or transmit programs for use by, or in conjunction with, an instruction execution system, apparatus, or device.

[0117] More specific examples of computer-readable media (a non-exhaustive list) include: electrical connections (electronic devices) having one or more wires, portable computer disk drives (magnetic devices), random access memory (RAM), read-only memory (ROM), erasable and editable read-only memory (EPROM or flash memory), fiber optic devices, and portable optical disc read-only memory (CDROM). Furthermore, computer-readable media can even be paper or other suitable media on which the program can be printed, because the program can be obtained electronically, for example, by optically scanning the paper or other medium, followed by editing, interpreting, or otherwise processing as necessary, and then stored in computer memory.

[0118] The above embodiments are only used to illustrate the technical solutions of the present invention, and are not intended to limit it. Although the present invention has been described in detail with reference to the foregoing embodiments, those skilled in the art should understand that modifications can still be made to the technical solutions described in the foregoing embodiments, or equivalent substitutions can be made to some of the technical features. Such modifications or substitutions will not cause the essence of the corresponding technical solutions to deviate from the protection scope of the technical solutions of the embodiments of the present invention.

Claims

1. A cantilever casting construction method based on the finite element method, characterized in that: Includes the following steps, The design and initial control parameter inversion of the cantilever casting stage based on real-time finite element analysis are as follows: During the construction preparation stage of the cantilever structure, a multi-scale finite element analysis model is constructed based on the design drawings and geological conditions. The multi-scale finite element analysis model is used to simulate the structural response at different construction stages and ages. Based on the simulation results, the control parameters for cantilever casting construction are determined. Furthermore, the cantilever casting construction is carried out based on the determined control parameters of the cantilever casting construction, specifically as follows: During the cantilever construction phase, the dynamic response state of the cast structure is monitored. Simultaneously, stress and displacement sensors deployed at the ends of the main beam, support nodes, and structural joints are used to collect real-time structural status data of each node. The real-time sensor data is then compared with the control parameters at the corresponding time step in the multi-scale finite element model constructed before construction to form a structural dynamic error vector. Based on the structural dynamic error vector, dynamic feedback adjustment of the cantilever casting construction is performed to determine the optimal construction path for the cantilever casting construction. Based on the simulation results, the specific control parameters for cantilever casting construction are determined as follows: For the constructed multi-scale finite element analysis model, the principal stress field, mid-span deflection curve, and axial force variation trend of the cantilever structure under each stage of growth are calculated, and a set of ternary functions for the cantilever structure response is constructed based on the calculation results. Based on the constructed three-dimensional function set of cantilever structure response, the initial settings of stage reinforcement ratio, temporary tension force, and temporary support arrangement parameters are made, and a process parameter inversion model is established with the goal of minimizing inversion error.

2. The cantilever casting construction method based on the finite element method according to claim 1, characterized in that, The construction of the multi-scale finite element analysis model is as follows: Define the entire bridge structural domain If it includes two types of sub-regions, then we have: in, This represents the simplified modeling region of the global structure, including the side spans and anchor areas. This indicates key local areas, including the pouring stage and connection nodes. The empty set represents the division of two sub-regions into which there is no overlap. This represents the entire bridge structural domain, which is the multi-scale finite element analysis model constructed.

3. The cantilever casting construction method based on the finite element method according to claim 2, characterized in that, The specific steps for constructing the cantilever structure response ternary function set based on the calculation results are as follows: According to the node In The stress tensor at time t is used to calculate the principal stress field of the cantilever structure under different growth stages. ; According to the node In Calculate the mid-span deflection based on the vertical displacement components at time t. ; According to the node In The normal stress components at time t, and the trend of axial force variation at the calculated nodes. ; Based on the calculation results, a set of ternary functions for the cantilever structure response is constructed, then we have: in, Represents a node In The maximum principal stress response function at time t is the node In Principal stress field under constant-increasing state Indicates the mid-span node during the construction phase. The mid-span deflection is the curve formed by combining the mid-span deflections corresponding to all construction stages. Represents a node In The axial internal force at time t, and the trend of change of the axial internal force at the current node across all time points. This represents the set of ternary functions that represent the response of the constructed cantilever structure.

4. The cantilever casting construction method based on the finite element method according to claim 3, characterized in that, The specific steps for establishing the process parameter inversion model are as follows: Based on the constructed ternary function set of the cantilever structure response, the objective function is constructed, and then we have: Simultaneously, by establishing a set of process inversion parameters, we have: If we set constraints with the goal of minimizing the inversion error, then we have: Physical constraints on reinforcement ratio Tension control constraints Constraints on the placement of the support structure in, This represents the established set of process inversion parameters. Indicates the first The longitudinal reinforcement ratio of the stage Indicates the first Stage tension, Indicates the first The location of the support structure at each stage. This represents the ternary function value of the cantilever structure response under the influence of process inversion parameters. This represents the ternary function value of the target cantilever structure's response. This represents the value of the constructed objective function. Indicates the ultimate tensile strength of the steel strand. This represents the total area of ​​the prestressing tendons. This indicates the maximum and minimum allowable distances for the support structure. This indicates the maximum and minimum values ​​of the longitudinal reinforcement ratio. This indicates the total pouring and construction time.

5. The cantilever casting construction method based on the finite element method according to claim 4, characterized in that, The specific details for determining the optimal construction path for cantilever casting are as follows: The first-generation cantilever casting construction path set is determined based on the constructed control parameters. Based on the first-generation cantilever casting construction path set, a set of on-site construction paths is constructed by combining sensors deployed at the ends of the main beam, support nodes, and structural joints with displacement sensors. Based on the difference between each time step in the first-generation cantilever casting construction path set and the on-site construction path set, the inferior response path is determined. Based on the determined inferior response path, an adaptive perturbation coefficient is added, and the set of second-generation cantilever casting construction paths is determined based on the added perturbation coefficient. Based on the established set of second-generation cantilever casting construction paths, the optimal construction path for cantilever casting is determined using a feedback weight adjustment mechanism.

6. The cantilever casting construction method based on the finite element method according to claim 5, characterized in that, The specific steps for determining the inferior response path are as follows: Based on the constructed cantilever structure response ternary function set, the control parameters are used as input parameters, and the set of cantilever casting construction nodes under the action of the control parameters is used as the cantilever casting construction foundation response path set, and set as the first generation cantilever casting construction path set. Based on the response ternary function value corresponding to each time step in the first-generation cantilever casting construction path set, and simultaneously using sensors deployed at the ends of the main beam, support nodes, and structural joints, the real-time response status at the corresponding locations is collected, and the collected real-time response status is constructed into a set of on-site construction paths. Calculate the difference between each time step in the first-generation cantilever casting construction path set and the on-site construction path set, and construct a dynamic error path set based on the differences corresponding to all time steps. The path with the largest error in the dynamic error path set is taken as the inferior response path.

7. The cantilever casting construction method based on the finite element method according to claim 6, characterized in that, The specific details for determining the set of construction paths for the second-generation cantilever casting are as follows: Based on the determined adverse response path, control parameters within the adverse response path are... Adding a perturbation coefficient, we have: in, This represents the control parameters in the poor response path. This indicates that the added perturbation coefficient is set by the implementer based on the actual application scenario. This represents the disturbance control parameters, which are the control parameters after adding the disturbance coefficient; Based on the disturbance control parameters, the disturbance control parameters are used as input parameters and re-input to the three-function set of cantilever structure response. The set of cantilever casting construction nodes under the action of the disturbance control parameters is used as the second-generation cantilever casting construction path set.

8. The cantilever casting construction method based on the finite element method according to claim 7, characterized in that, The specific steps for determining the optimal construction path for cantilever casting using the feedback weight adjustment mechanism are as follows: For the constructed second-generation cantilever casting construction path set, paths with error function values ​​lower than the first-generation inferior response paths are selected. Based on the selected paths, the real-time response states at the corresponding locations are re-acquired by increasing the sensor feedback weights at each node in the path. The error between the re-acquired real-time response states and the first-generation inferior response paths is recalculated. Based on the comparison of the two error results, the third-generation cantilever casting construction path is determined, specifically as follows: If the error between the path corresponding to the sensor feedback weight adjustment and the first-generation inferior response path is less than the error between the path corresponding to the sensor feedback weight before adjustment and the first-generation inferior response path, then the path corresponding to the sensor feedback weight adjustment is the third-generation cantilever casting construction path, which is the optimal construction path for cantilever casting based on the finite element method. Conversely, if the error is less than the error, then the adjustment degree of the sensor feedback weight cannot construct the third-generation cantilever casting construction path. The adjustment degree of the sensor feedback weight should be readjusted until the third-generation cantilever casting construction path can be determined, and the determined third-generation cantilever casting construction path is taken as the optimal construction path for cantilever casting based on the finite element method.

9. A cantilever casting construction system based on the finite element method, applied to the cantilever casting construction method based on the finite element method as described in any one of claims 1 to 8, characterized in that, This includes a control parameter determination module and an optimal path determination module for cantilever casting construction. The control parameter determination module is used to determine the control parameters for cantilever casting construction based on the constructed multi-scale finite element analysis model. The optimal path determination module for cantilever casting construction is used to determine the optimal path for cantilever casting construction based on the determined control parameters and through an iterative optimization algorithm.

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