CN103150458B - Vehicle-track-bridge-foundation coupled system and method for dynamic analysis thereof - Google Patents

Abstract

The vehicle-track-bridge-foundation coupling system, the pre-processing module is realized by the MATLAB vehicle structure module and the MATLAB track irregularity sample curve module, the track-bridge-foundation module is realized based on general finite element software, and the track- The bridge-foundation module includes a track structure model, a line-bridge dynamic interaction model, a bridge structure model, a soil-structure dynamic interaction model, and a foundation model; The dynamic calculation module and the MATLAB track-bridge-foundation system dynamic calculation module are realized, and the MATLAB wheel-rail dynamic contact calculation module is simulated by the track dynamic contact model; the post-processing module is realized by the MATLAB calculation data storage and graphics processing module Realize and form a vehicle-track-bridge-foundation coupling system.

Description

Vehicle-track-bridge-foundation coupling system and its dynamic analysis method

technical field

The invention relates to a dynamic analysis method of a vehicle-track-bridge-foundation coupling system based on a vehicle-track-bridge-foundation spatial coupling model, and belongs to the technical field of railway engineering application calculation and design.

Background technique

Due to the high speed of trains on existing lines, newly-built passenger dedicated lines and high-speed railways, in order to meet the requirements of driving safety and riding comfort, the relevant design codes have higher requirements for track smoothness and rigidity of the under-rail structure; at the same time, from In terms of environmental protection, land saving, site soil conditions, terrain, etc., countries with developed high-speed rail transportation such as China, France, Germany, and Japan often use viaducts as the substructure of the track in passenger dedicated lines and high-speed rail lines. Taking the Beijing-Shenzhen-Hong Kong Passenger Dedicated Line, Zhengxi-West Passenger Dedicated Line, and Beijing-Shanghai Passenger Dedicated Line that have been put into use in my country in recent years as examples, the average proportion of bridges in the entire line mileage is 73%, and some sections reach as high as 87%. Compared with the traditional subgrade track, due to the higher rigidity of the bridge structure, it has higher advantages in line smoothness control and settlement control. Therefore, in previous research and analysis, most of the vehicle-track- Dynamic analysis of the bridge coupled system. This analysis method is based on the assumption of foundation rigidity. For Type I and Type II site soils, since the site soil is relatively hard, it is a simple and effective analysis method to adopt the assumption of foundation rigidity. However, for bridge structures passing through deep and weak soil layers, the site soil often belongs to class III or class IV site soil, and the constraints of the foundation on the pier cannot satisfy the rigidity assumption, and the influence of foundation flexibility on the dynamic response of the superstructure needs to be considered. Therefore, A dynamic analysis of the coupled vehicle-track-bridge-foundation system needs to be established.

In the research of vehicle-track-bridge-foundation coupling vibration, since it is necessary to consider the complex wheel-rail contact relationship and reflect the vibration characteristics of vehicles, tracks, bridges and foundations, traditional research is limited to vehicle-track-bridge Coupled system vibration research, and limited to insurmountable memory and computational efficiency problems, the track and bridge structures have been simplified a lot. For example, the common vehicle dynamics software SIMPACK, NUCARS, etc. can easily realize the multi-body dynamics modeling of the vehicle structure, and has its own wheel-rail contact module, but it is difficult to simulate the turnouts and bridges in detail. However, the current general-purpose finite element calculation software such as ANSYS, MARC, DYNIA, etc. are good at detailed finite element simulation of structures such as rails and bridges, but it is difficult to simultaneously perform multi-rigid body dynamic modeling of vehicle structures, and cannot directly Simulate the wheel-rail contact relationship. Although the self-compiled special calculation program can realize the mixed modeling of multi-body and finite element, but the types of elements are limited, it is difficult to simulate the structural details, and the modeling work is often heavy. With the rapid development of my country's high-speed railways, in order to accurately, reliably and quickly evaluate the dynamic characteristics of the vehicle-track-bridge-foundation coupling system, a simple, meticulous and complete, fast and efficient system that can accurately reflect the dynamic characteristics of the coupling system is required. Modeling and analysis methods of dynamic characteristics.

Therefore, it has become an urgent technical problem to study a new vehicle-track-bridge-foundation coupling system and its dynamic analysis method.

Contents of the invention

For the defects existing in the prior art, the purpose of the invention is to propose a vehicle-track-bridge-foundation coupling system based on MATLAB software (MATLAB is a commercial mathematical software produced by MathWorks Corporation of the United States, which is used for algorithm development, data visualization, Advanced technical computing language and interactive environment for data analysis and numerical calculation, mainly including MATLAB and Simulink.) Provides a dynamic analysis method for vehicle-track-bridge-foundation coupling system. The inventive method is aimed at the characteristics of self-programming and commercial software, utilizes MATLAB self-programming module to complete the dynamic contact simulation between the modeling of vehicle structure and the wheel rail, utilizes general finite element software module (can be Marc module, LS- DYNA module, ANSYS module, etc.) to complete the modeling of the track structure, bridge structure and foundation, as well as the dynamic interaction between the track-bridge and the dynamic interaction simulation between the bridge-foundation, and then use the self-developed interface and The control program TRBF-DYNA realizes the connection between MATLAB module and ANSYS module, system matrix assembly, data storage control, parallel coupling solution technology and iteration technology control solution accuracy. Machine-readable catalog format standard (English: MAchine-ReadableCataloging, abbreviation: MARC), is a communication format standard for library management, used for the exchange of catalog information between libraries or publishers. LS-DYNA is the world's most famous general-purpose explicit dynamic analysis program, which can simulate various complex problems in the real world, and is especially suitable for solving nonlinear dynamics such as high-speed collision, explosion and metal forming of various two-dimensional and three-dimensional nonlinear structures Impact problems, while solving heat transfer, fluid and fluid-solid coupling problems. Widely recognized as the best analysis software package for engineering applications. Numerous comparisons with experiments confirm the reliability of its calculations. ANSYS software is a large-scale general-purpose finite element analysis software integrating structure, fluid, electric field, magnetic field, and sound field analysis. TRBF-DYNA is a control software developed based on the matlab platform. It is a control module used to call other modules.

The technical solution of the present invention is: a vehicle-track-bridge-foundation coupling system, characterized in that it includes a vehicle structure model, a track structure model, a bridge structure model, a foundation model, wheels and wheel rails between the track rails Dynamic contact model, line-bridge dynamic interaction model between track and bridge, and soil-structure dynamic interaction model between bridge and foundation, TRBF-DYNA control module controls pre-processing module, solving module and post-processing module, pre-processing The module is realized by the MATLAB vehicle structure module and the MATLAB track irregularity sample curve module. The track-bridge-foundation module is realized based on the general finite element software. The track-bridge-foundation module includes the track structure model, the line-bridge dynamic interaction Action model, bridge structure model, soil-structure dynamic interaction model and foundation model, the solution module is realized by MATLAB wheel-rail dynamic contact calculation module, MATLAB vehicle system dynamic calculation module and MATLAB track-bridge-foundation system dynamic calculation module The MATLAB wheel-rail dynamic contact calculation module is simulated by the track dynamic contact model, and the post-processing module is realized by the MATLAB calculation data storage and graphics processing module to form a vehicle-track-bridge-foundation coupling system.

Preferably, the MATLAB pre-processing module is mainly used to construct vehicle dynamics equations and generate track irregularity sample points according to the input track spectrum; the general finite element module is based on track parameters, line-bridge dynamic interaction model, bridge structure parameters, soil-structure Dynamic interaction model and foundation parameters Construct a track-bridge-foundation finite element model, and export the finite element model mass, stiffness, damping and boundary condition parameters.

Preferably, the MATLAB wheel-rail force calculation module mainly calculates the contact force and the contact motion state at the wheel-rail contact point according to the wheel-rail contact state; the MATLAB vehicle system power calculation module first reads the wheel-rail contact force and the contact motion state, and puts It is used as an external force and boundary condition to solve the vehicle system dynamic equation; MATLAB track-bridge-foundation system dynamic calculation module first reads the wheel-rail contact force and contact motion state, and uses it as an external force and boundary condition to solve the track-bridge-foundation foundation System dynamic equations.

Preferably, the MATLAB calculation data storage and graphics processing module are used to display the real-time animation of the vehicle during the calculation process, the wheel-rail contact state, the real-time animation of the track-bridge-ground foundation system, and the vehicle-track-bridge-ground foundation coupling after the calculation is completed. The system power analysis data is stored and the power time history curve is displayed.

Preferably, the vehicle structure model adopts a multi-degree-of-freedom vehicle structure model of rigid body dynamics modeling, or adopts a multi-degree-of-freedom finite element model considering the flexibility of each part of the vehicle body; the track structure model is a ballasted track model or a ballastless track model, Among them, the rail adopts standard 50kg rail, 60kg rail, or custom-made arbitrary shape rail; the bridge structure model adopts steel-concrete composite beam bridge model, reinforced concrete simply supported beam bridge model, reinforced concrete continuous beam bridge model, and reinforced concrete arch bridge model, reinforced concrete suspension bridge model, reinforced concrete cable-stayed bridge model, steel box simply supported beam model, steel box arch bridge model, steel box suspension bridge model or steel box cable-stayed bridge model; the foundation model adopts pile foundation-soil model or natural Foundation-soil model; the wheel-rail dynamic contact model adopts the close contact model without considering the wheel-rail separation, the single-point contact model considering the wheel-rail separation or the multi-point contact model considering the wheel-rail separation; the vehicle structure model and the wheel The rail dynamic contact model is completed using the MATLAB module; the track structure model, bridge structure model, foundation model, line-bridge dynamic interaction model and soil-structure dynamic interaction model use general finite element software modules (may be Marc module, LS-DYNA module, ANSYS module, etc.); on the basis of the above modeling work, the interface and control program TRBF-DYNA realizes vehicle , Interconnections and coupling solutions between tracks, bridges and foundations.

Another technical solution of the present invention is: a vehicle-track-bridge-foundation coupling system dynamic analysis method, which is characterized in that it includes: vehicle structure modeling: use the MATLAB module to complete the vehicle structure modeling, and obtain the vehicle structure after solving Body acceleration, wheel-rail force, derailment coefficient and wheel load reduction rate four key dynamic indicators; track irregularity sample curve: use MATLAB module to complete track irregularity sample curve generation, can generate track vertical irregularity, lateral Irregularity, irregular direction, uneven height, irregular gauge curve; track structure modeling: use general finite element software modules (Marc module, LS-DYNA module, ANSYS module, etc.) to complete the construction of track structure After the solution, the three key dynamic indicators of vibration acceleration, velocity and dynamic displacement of the rail structure and track slab structure are obtained; bridge structure modeling: use the general finite element software module (which can be Marc module, LS-DYNA module, ANSYS module etc.) to complete the modeling of the bridge structure, and get three key dynamic indicators of the bridge structure, vibration acceleration, velocity, and dynamic displacement after solving; foundation modeling: use the general finite element software module (which can be Marc module, LS-DYNA module, ANSYS module, etc.) to complete the modeling of the foundation, and get the three key dynamic indicators of the foundation’s vibration acceleration, velocity, and dynamic displacement after solving; coupled solution: on the basis of the above modeling work, the analysis of the wheel-rail relationship The dynamic interaction between the track and the bridge, the dynamic interaction between the bridge and the foundation, use the corresponding interface and the control program TRBF-DYNA module to realize the connection between the MATLAB module and the general finite element module, and the system matrix Assembly, data storage control, parallel coupled solving techniques, and iterative techniques control solution accuracy.

Preferably, in the vehicle structure modeling, the vehicle adopts rigid body dynamics modeling, and the car body, bogie, and wheel set are regarded as rigid bodies, and the ups and downs, nodding, lateral movement, side roll and shaking of the vibrating car body and front and rear bogies Motion characteristics, as well as the ups and downs, lateral movement, side roll and shaking head movement characteristics of each wheel set to simulate the structure of the whole vehicle; according to the complexity of the analyzed problem, the vehicle can ignore some of the degrees of freedom to form a simplified vehicle analysis model .

Preferably, in vehicle structure modeling, the actual size and material properties of the vehicle body, bogie, and wheel set are used to model the vehicle, and the flexible deformation of each part of the vehicle under the action of dynamic load is considered, wherein the vehicle body is modeled using plate elements, The bogie is modeled by beam elements, and the wheel set is modeled by plate elements.

Preferably, among the track irregularity sample curves, the simulated track irregularity sample curves generated according to the track spectrum, or the sample curves input by the user based on actual measurements.

Preferably, in the modeling of the track structure, the rail is modeled by the space beam unit according to the actual section properties; the fastener is modeled by the spring-damper unit; the rubber pad under the rail is modeled by the spring-damper unit; for the ballasted track, The sleeper is simulated by space beam unit, and the ballast bed is simulated by Winkler foundation; for ballastless track, the track slab is simulated by space slab unit, and the support under the track slab is simulated by spring-damper unit.

Preferably, in the modeling of the bridge structure, the bridge structure is reasonably simplified according to the mechanical properties of the bridge structure, and various structures of the bridge structure are simulated in a mixed modeling manner of plate elements, beam elements, spring-damper elements and rod elements member.

Preferably, in foundation modeling, the pile foundation is simulated by a space beam unit, and the soil is simulated by a three-dimensional solid unit.

Preferably, in the foundation modeling, according to the dynamic impedance of the foundation, spring-dampers are used to simulate the constraints of the foundation on the bottom of the bridge pier in the bridge structure, and the constraints of the foundation on the bottom of the bridge pier in the bridge structure include horizontal dynamic impedance, vertical Directional dynamic impedance and rotational dynamic impedance; if the site soil is rigid enough, the dynamic impedance of the foundation can be ignored, and rigid constraints are imposed on the bottom of the pier.

Preferably, in the coupling solution, the dynamic interaction between the track and the bridge refers to determining the corresponding stiffness and damping parameters according to different connection forms, and simulating through the spring-damper unit.

Preferably, in the coupling solution, the dynamic interaction between the wheel and rail is reflected in the form of wheel-rail dynamic contact, the shape of the rail surface and the tread is discretized, the space trace method is used to determine the spatial contact geometry of the wheel and rail, and the full profile The search method determines the contact point of the wheel-rail tread, so as to meet the complexity requirement of dynamic wheel-rail contact.

Preferably, in the coupling solution, the system matrix assembly is the vehicle system matrix assembly or the track-bridge-foundation system assembly; the vehicle system assembly is based on determining the stiffness and damping coefficients of each degree of freedom of the vehicle, and then according to the principle of elastic potential energy. The stiffness matrix of each car is assembled according to the law, and then the vehicle system matrix is formed according to the position of each car in the vehicle system.

Preferably, in the coupling solution, the data storage control refers to selecting the full matrix import and full matrix storage method according to the memory size of the computer and the model complexity of the vehicle-track-bridge-ground foundation coupling system, or selecting to use Full matrix import and sparse matrix storage, or choose to use sparse matrix import and sparse matrix storage; you can store all the calculation results or select part of the data to store according to the needs of the problems you care about.

Preferably, in the coupling solution, the parallel coupling solution technology refers to the use of parallel technology to evenly distribute the wheel-rail dynamic contact calculation to each core of the computer CPU for parallel calculation in each step of the calculation process, so as to improve the calculation efficiency.

Preferably, in the coupling solution, the iterative technique to control the solution accuracy means that by setting the convergence criteria of displacement and force, after each step of calculation is completed, comparing the displacement, wheel Whether the rail force meets the convergence criterion determines whether to end the coupling calculation of the current calculation step.

Preferably, in the coupling solution, the vehicle models based on rigid body dynamics are all generated by the MATLAB module, and the MATLAB module contains all the information required for the vehicle structure modeling, and all the information required for the vehicle structure modeling includes the vehicle structure freedom The distribution of degrees and the mass, stiffness and damping parameters of each part of the vehicle; the vehicle model considering the flexible characteristics of each part of the vehicle is generated by a general finite element software module (may be Marc module, LS-DYNA module, ANSYS module, etc.) and Export the data of mass matrix, stiffness matrix and damping matrix, and read the data through the compiled MATLAB interface program. The general finite element software module (may be Marc module, LS-DYNA module, ANSYS module, etc.) All information includes the distribution of degrees of freedom, car body, bogie, wheelset, mass of the primary suspension system, mass of the secondary suspension system, stiffness, damping, elastic modulus and component size parameters.

Preferably, in the coupling solution, the general finite element module contains all the information required for the modeling of the track structure, bridge structure and foundation structure, and the information required for the modeling of the track structure, bridge structure and foundation includes the distribution of degrees of freedom And the mass, stiffness, damping, elastic modulus and component size parameters of each substructure.

Preferably, in the coupling solution, the interface and control program TRBF-DYNA completes the coupling of the vehicle and the track through the MATLAB module and the general finite element module, judges the relative position of the wheel and rail, determines the contact state of the wheel and rail, calculates the wheel-rail interaction force, and The composed vehicle-track-bridge-foundation coupling system is solved iteratively to obtain the dynamic response of each part of the system.

Preferably, in the coupling solution, the vehicle model and the track-bridge-foundation model are coupled through the wheel-rail relationship to form the dynamic equation of the vehicle-bridge-foundation coupled system, and implicit numerical integration and explicit numerical integration are used in the MATLAB module Combined method to solve the dynamic equations of the coupled system.

The beneficial technical effect of the present invention is:

1. The present invention proposes a vehicle-track-bridge-foundation coupling system based on MATLAB software (MATLAB is a commercial mathematical software produced by MathWorks, USA, and is used for advanced technical calculations of algorithm development, data visualization, data analysis and numerical calculations. Language and interactive environment, mainly including MATLAB and Simulink.) Provide a vehicle-track-bridge-foundation coupling system dynamic analysis method. The inventive method is aimed at the characteristics of self-programming and commercial software, utilizes MATLAB self-programming module to complete the dynamic contact simulation between the modeling of vehicle structure and the wheel rail, utilizes general finite element software module (can be Marc module, LS- DYNA module, ANSYS module, etc.) to complete the modeling of the track structure, bridge structure and foundation, as well as the dynamic interaction between the track-bridge and the dynamic interaction simulation between the bridge-foundation, and then use the self-developed interface and The control program TRBF-DYNA realizes the connection between MATLAB module and ANSYS module, system matrix assembly, data storage control, parallel coupling solution technology and iteration technology control solution accuracy.

2. The present invention provides an accurate and effective vehicle-track-bridge-foundation coupling system dynamic analysis method, which adopts the method of combining self-programming and commercial software, fully considering the complex contact relationship between the wheel and rail, And try to complete the modeling of track structure, bridge structure and foundation according to the actual state, which fully guarantees the detail, completeness and accuracy of the model, which has obvious improvement compared with the traditional modeling method. According to the modeling method of the present invention, the modeling means of self-programming and commercial software are cleverly combined, that is, the advantages of self-programming modeling flexibility, easy expansion and redevelopment can be brought into play, and the general finite element can be fully utilized in the structure The characteristics of meticulous, accurate and fast modeling are very convenient for modeling and analysis of the vehicle-track-bridge-foundation coupling system, and have high theoretical value and commercial promotion prospects.

Description of drawings

Fig. 1 Schematic diagram of the vehicle-track-bridge-foundation coupling system.

Fig. 2 Structural schematic diagram of accurate and effective vehicle-track-bridge-foundation coupling system dynamic analysis method.

Figure 3 Schematic diagram of the vehicle computing model.

Fig. 4 is a graph of sample point curves of track vertical irregularity generated according to the American six-level track irregularity spectrum.

Fig. 5 is a graph of sample point curves of track lateral irregularity generated according to the American six-level track irregularity spectrum.

Fig. 6 Diagram of vehicle body lateral vibration acceleration.

Figure 7 is a diagram of the vertical vibration acceleration of the car body.

Fig. 8 Diagram of the derailment coefficient of the left wheel of the bullet train.

Figure 9 is a diagram of the derailment coefficient of the right wheel of the bullet train.

Figure 10 Diagram of the derailment coefficient of the left wheel of the trailer.

Figure 11 Diagram of the derailment coefficient of the right wheel of the trailer.

Fig. 12 Diagram of lateral displacement of the front bogie of the motor car.

Fig. 13 Diagram of the vertical displacement of the front bogie of the motor car.

Fig. 14 Diagram of the lateral displacement of the rear bogie of the bullet train.

Figure 15 is a diagram of the vertical displacement of the rear bogie of the motor car.

Fig. 16 Diagram of the lateral displacement of the first wheel set of the motor car.

Figure 17 is a diagram of the vertical displacement of the first wheel set of the motor car.

Figure 18 Diagram of the side roll angle displacement of the first wheel of the train.

Figure 19 Diagram of the shaking angle of the first wheel set of the bullet train.

Fig. 20 The diagram of the lateral force of the first wheel of the bullet train on the left rail.

Fig. 21 is a schematic diagram of the vertical force of the first wheel of the bullet train on the left rail.

Fig. 22 Diagram of the lateral force of the first wheel of the bullet train on the right rail.

Fig. 23 The diagram of the vertical force on the right rail of the first wheel of the bullet train.

Fig. 24 The diagram of lateral force of the first wheel of the trailer on the left rail.

Figure 25 is a schematic diagram of the vertical force of the first wheel of the trailer on the left rail.

Fig. 26 The diagram of lateral force of the first wheel of the trailer on the right rail.

Fig. 27 The diagram of the vertical force of the first wheel of the trailer on the right rail.

Fig. 28 Diagram of rail vertical vibration displacement.

Fig. 29 Diagram of rail lateral vibration displacement.

Fig. 30 Diagram of rail vertical vibration acceleration.

Fig. 31 Diagram of rail lateral vibration acceleration.

Fig. 32 Diagram of the vertical vibration displacement of the mid-span node of the bridge.

Fig. 33 Diagram of lateral vibration displacement of bridge mid-span nodes.

Fig. 34 Diagram of vertical vibration acceleration of bridge mid-span nodes.

Fig. 35 Diagram of lateral vibration acceleration of bridge mid-span node.

Fig. 36 Diagram of vertical vibration acceleration of pier top.

Fig. 37 Diagram of lateral vibration acceleration of pier top.

Figure 38 Diagram of foundation vertical vibration acceleration.

Figure 39 Diagram of foundation lateral vibration acceleration.

detailed description

The present invention will be further described below in conjunction with specific embodiments and with reference to the accompanying drawings.

Fig. 1 is the structural representation of vehicle-track-bridge-foundation coupling system of the embodiment of the present invention, as shown in Figure 1, vehicle-track-bridge-foundation coupling system includes vehicle structure model, track structure model, bridge structure model, The foundation model, the wheel-rail dynamic contact model between the wheel and the track rail, the line-bridge dynamic interaction model between the track and the bridge, and the soil-structure dynamic interaction model between the bridge and the foundation, controlled by the TRBF-DYNA control module The pre-processing module, solving module and post-processing module, the pre-processing module is realized by the MATLAB vehicle structure module and the MATLAB track irregularity sample curve module, the track-bridge-foundation module is realized based on the general finite element software, the track-bridge- The foundation module includes track structure model, line-bridge dynamic interaction model, bridge structure model, soil-structure dynamic interaction model and foundation foundation model. The solution module consists of MATLAB wheel-rail dynamic contact calculation module, MATLAB vehicle system dynamic calculation module and The MATLAB track-bridge-ground foundation system dynamic calculation module is realized, the MATLAB wheel-rail dynamic contact calculation module is simulated by the track dynamic contact model, and the post-processing module is realized by the MATLAB calculation data storage and graphics processing module to form a vehicle-track-bridge - Ground foundation coupling system.

Fig. 2 is a schematic structural diagram of an accurate and effective vehicle-track-bridge-foundation coupling system dynamic analysis method according to an embodiment of the present invention.

In this embodiment, the method is introduced by taking a train passing through a two-span standard 32m simply supported box girder on the Beijing-Shanghai high-speed railway in a straight line at a speed of 250km/h as an example. ICE3 vehicle parameters are adopted for the vehicle, among which the vehicle parameters of the motor vehicle are: the overall length of the vehicle is m, the fixed distance is 17.375m, the wheelbase is 2.5m, the mass of the car body is 48t, the mass of the frame is 3.2t, and the mass of the wheelset is 2.4t; the vehicle parameters of the trailer are: vehicle The overall length is m, the fixed distance is 17.375m, the wheelbase is 2.5m, the body weight is 44t, the frame weight is 2.4t, and the wheel set weight is 2.4t. The rail is a standard 60kg rail, the rigidity of the fastener is 5.5Mn/m, the rigidity of the pad under the rail is 6.3Mn/m, the thickness of the track plate is 0.3m, and the rigidity of the support under the plate is 21Gpa/m. The bridge is a standard 32m simply supported beam, and the beam body is made of C50 concrete. The round-end solid pier is adopted, and the pier height is 15m. The shear wave velocity of foundation soil is 350m/s. Considering the vertical and horizontal track irregularities, according to the German low-interference spectrum, the trigonometric series method is used to generate vertical and horizontal track irregularity sample points. According to the present invention, the vehicle-track-bridge-foundation coupling system is modeled, and the process is shown in FIG. 1 .

In the vehicle structure modeling, the whole vehicle model is carried out for the heave, nod, lateral movement, side roll and yaw motion characteristics of the car body and front and rear bogies, as well as the heave, yaw, side roll and yaw motion characteristics of each wheel set simulation of

In the modeling of the track structure, the rail is modeled with the space beam element according to the actual section properties; the fastener is modeled with the spring-damper element; the rubber pad under the rail is modeled with the spring-damper element; the ballastless track plate is modeled with the space plate For unit simulation, the support under the track slab is simulated by a spring-damper unit.

In the bridge structure modeling, according to the mechanical characteristics of the bridge structure, the bridge structure is simplified reasonably, and the bridge structure is simulated by the space beam element with variable cross-section.

In the foundation modeling, according to the dynamic impedance of the foundation, spring-dampers can be used to simulate the constraints of the foundation on the bottom of the pier in the bridge structure, including: horizontal dynamic impedance, vertical dynamic impedance and rotational dynamic impedance.

According to the method of this embodiment, dynamic responses such as vibration acceleration and dynamic displacement of various parts of vehicles, track structures, bridges, and foundations can be obtained; dynamic responses such as wheel-rail vertical force and wheel-rail lateral force can be obtained; derailment can be obtained Driving safety and comfort indicators such as coefficient, wheel weight unloading ratio, vehicle body acceleration, etc.

The main calculation results are shown in Figure 3 to Figure 38. Figure 3 is a schematic diagram of the calculation model of the vehicle. As shown in Figure 3, two sets of bogies are arranged under the car body, and the bogies are composed of a frame and a wheel set. There is a second suspension between the frame and the wheel rail. Fig. 4 is a curve diagram of sample points of track vertical irregularity generated according to the US six-level track irregularity spectrum according to an embodiment of the present invention. Fig. 5 is a graph of sample point curves of track lateral irregularity generated according to the American six-level track irregularity spectrum according to an embodiment of the present invention. Fig. 6 is a schematic diagram of the lateral vibration acceleration of the vehicle body. Fig. 7 is a schematic diagram of the vertical vibration acceleration of the vehicle body. Figure 8 is a graphical representation of the derailment coefficient of the left wheel of the train. Figure 9 is a graphical representation of the derailment coefficient of the right wheel of the train. Figure 10 is an illustration of the derailment coefficient of the left wheel of the trailer. Figure 11 is an illustration of the derailment coefficient of the right wheel of the trailer. Figure 12 is a schematic diagram of the lateral displacement of the front bogie of the motor car. Figure 13 is a diagram of the vertical displacement of the front bogie of the motor car. Figure 14 is a schematic diagram of the lateral displacement of the rear bogie of the motor car. Figure 15 is a diagram of the vertical displacement of the rear bogie of the motor car. Fig. 16 is a schematic diagram of the lateral displacement of the first wheel set of the motor car. Figure 17 is a diagram of the vertical displacement of the first wheel set of the motor car. Figure 18 is a schematic diagram of the roll angle displacement of the first wheel pair of the train. Fig. 19 is a schematic diagram of the shaking angle of the first wheel set of the motor car. Figure 20 is a schematic diagram of the lateral force of the first wheel of the motor car on the left rail. Figure 21 is a schematic diagram of the vertical force of the first wheel of the motor car on the left rail. Figure 22 is a schematic diagram of the lateral force of the first wheel of the train on the right rail. Figure 23 is a schematic diagram of the vertical force on the right rail of the first wheel pair of the motor car. Fig. 24 is a schematic diagram of the lateral force of the first wheel of the trailer on the left rail. Fig. 25 is a schematic diagram of the vertical force of the first wheel of the trailer on the left rail. Figure 26 is a schematic illustration of the lateral force of the first wheel of the trailer on the right rail. Fig. 27 is a schematic diagram of the vertical force of the first wheel of the trailer on the right rail. Figure 28 is a diagram of the vertical vibration displacement of the rail. Fig. 29 is a schematic diagram of rail lateral vibration displacement. Figure 30 is a diagram of the vertical vibration acceleration of the rail. Figure 31 is a graphical representation of rail lateral vibration acceleration. Figure 32 is a diagram of the vertical vibration displacement of the mid-span node of the bridge. Figure 33 is a diagram of the lateral vibration displacement of the mid-span node of the bridge. Figure 34 is a diagram of the vertical vibration acceleration of the mid-span node of the bridge. Figure 35 is a graphical representation of the lateral vibration acceleration of the mid-span node of the bridge. Figure 36 is a graphical representation of the vertical vibration acceleration of the pier top. Figure 37 is a graphical representation of the lateral vibration acceleration of the pier top. Figure 38 is a diagram of the basic vertical vibration acceleration. Figure 39 is a graphical representation of the base lateral vibration acceleration.

Claims (9)

1. vehicle-track-bridge-foundation coupled system, is characterized in that: comprise vehicleStructural model module, track structure model module, bridge structural model module, foundation mouldWheel track dynamic contact model module, track and bridge between pattern piece, wheel and railsBetween line bridge dynamic interaction model module and soil-structure between bridge and ground movingPower interaction model module, TRBF-DYNA control module control pre-processing module, solvesModule and post-processing module,

Wherein said pre-processing module is by MATLAB vehicle structure module and MATLAB railRoad irregularity sample curve module realizes, and track-bridge-foundation module is based on generalFinite element software is realized, and described track-bridge-foundation module includes track structure mouldType, line bridge dynamic interaction model, bridge structural model, soil-structure dynamic interactionModel and foundation model;

The described module that solves is by MATLAB wheel track Dynamic Contact computing module, MATLAB carSystem dynamic computing module and MATLAB track-bridge-foundation system dynamic calculateModule realizes, and described MATLAB wheel track Dynamic Contact computing module is by track Dynamic ContactModel is simulated;

Described post-processing module is stored by MATLAB calculated data and pattern process module comes realExisting, form vehicle-track-bridge-foundation coupled system;

Utilize MATLAB self-compiling program module to complete between the modeling and wheel track of vehicle structureDynamic Contact simulation, utilize common finite element software module to complete track structure, bridge knotDynamic interaction and bridge-ground between modeling and the track-bridge of structure and foundationDynamic interaction simulation between base basis, interface and the control program of recycling independent developmentTRBF-DYNA realizes connection, the sytem matrix of MATLAB module and ANSYS moduleAssembling, data storage control, Parallel coupled solve and by iterative technique control solving precision,Iterative technique control solving precision refers to the convergence criterion by setting displacement and power, in each stepAfter calculating completes, position between comparison Vehicular system and track-bridge-foundation coupled systemThe coupling meter move, whether wheel-rail force meeting convergence criterion and determine whether to finish current calculating stepCalculate;

Vehicle structure modeling: utilize MATLAB module to complete the modeling of vehicle structure, askAfter solution, obtain car body acceleration, wheel-rail force, derailment coefficients and four kinds of passes of rate of wheel load reductionKey dynamics index; In vehicle structure modeling, car body to vehicle, bogie, wheel are to adoptingActual size and material properties modeling, the flexibility of vehicle various piece under consideration dynamic load functionDistortion, wherein car body adopts plate Modelon Modeling, bogie to adopt beam element modeling, wheel to adoptingPlate Modelon Modeling.

2. vehicle-track-bridge according to claim 1-foundation coupled system,It is characterized in that: described MATLAB pre-processing module be used for building dynamics of vehicle equation andAccording to the track spectrum generator orbital irregularity sample point of input; Described common finite element module basisOrbit parameter, line bridge dynamic interaction model, bridge structure parameter, soil-structure power phaseInteraction Model and foundation parameter build track-bridge-foundation FEM model,And derive FEM model quality, rigidity, damping and boundary condition parameter.

3. vehicle-track-bridge according to claim 1-foundation coupled system,It is characterized in that: described MATLAB wheel rail force computing module is according to Wheel Rail Contact state meterCalculate contact force and the contact movement state at Wheel/Rail Contact Point place; Described MATLAB vehicle isFirst system Cable Power Computation module reads wheel-rail contact force and contact movement state, and using its as outsidePower and Boundary Condition for Solving Vehicular system kinetic equation; Described MATLAB track-bridge-groundFirst base basic system Cable Power Computation module reads wheel-rail contact force and contact movement state, andIt is as external force and Boundary Condition for Solving track-bridge-foundation governing equations of motion.

4. vehicle-track-bridge according to claim 1-foundation coupled system,It is characterized in that: the storage of described MATLAB calculated data and pattern process module are used for showingVehicle real-time animation, Wheel Rail Contact state, track-bridge-foundation system in computational processReal-time animation and calculating moving to vehicle-track-bridge-foundation coupled system after completingPower is analyzed data and is stored, and shows Dynamic time history curve.

5. vehicle-track-bridge according to claim 1-foundation coupled system,It is characterized in that: described vehicle structure model adopts the multiple degrees of freedom vehicle of dynamics of rigid bodies modelingStructural model, or adopt the multiple degrees of freedom FEM model of considering the each parts flexibility of car body;

Described track structure model is Ballast track model or non-fragment orbit model, wherein railThe 50kg rail of employing standard, 60kg rail, or adopt self-defining arbitrary shape rail;

Described bridge structural model adopts shape steel-concrete combined beam bridge model, armored concreteSimply supported girder bridge model, reinforced concrete continuous beam bridge model, reinforced concrete arch bridge model, steelReinforced concrete suspension bridge model, Reinforced Concrete Cable-Stayed Bridge model, steel case simply supported beam model, steelCase arch bridge model, steel case suspension bridge model or steel case Cable-stayed Bridge Model;

Described foundation model adopts pile foundation-soil model or natural foundation-soil model;

Described wheel track dynamic contact model adopts the closing contact model not considering wheel track and separate, examinesConsider the single-point contact model of wheel track separation or consider the Multi-contact model that wheel track separates;

Described vehicle structure model and described wheel track dynamic contact model adopt MATLAB moduleComplete; Track structure model, bridge structural model, foundation model, line bridge power are mutualAction model and soil-structure dynamic interaction model adopt common finite element software module completeBecome; On the basis of above-mentioned modeling work, interface and control program TRBF-DYNA pass throughMATLAB module and common finite element software module realize vehicle, track, bridge and groundBetween basis interconnect and coupling solves.

6. be applied to the vehicle-track-bridge-foundation coupling in system described in claim 1Assembly system method of dynamic analysis, is characterized in that: comprising:

Track irregularity sample curve: utilize MATLAB module to complete track irregularity sampleThis curve generates, can the vertical irregularity of generator orbital, laterally irregularity, direction irregularity,Suitable, gauge irregularity sample curve is uneven;

Track structure modeling: utilize common finite element software module to complete building of track structureMould, obtains vibration acceleration, speed, the moving displacement of steel-rail structure and track plates structure after solvingThree kinds of crucial dynamics indexs;

Bridge structure modeling: utilize common finite element software module to complete building of bridge structureMould, obtains the vibration acceleration, speed of bridge structure, moving three kinds of crucial power of displacement after solvingLearn index;

Foundation modeling: utilize common finite element software module to complete building of foundationMould, obtains the vibration acceleration, speed of foundation, moving three kinds of crucial power of displacement after solvingLearn index;

Coupling solves: on the basis of above-mentioned modeling work, the power between analysis wheel track is mutualPower between dynamic interaction, bridge and foundation between effect, track and bridgeInteract, utilize the corresponding interface and control program TRBF-DYNA module to realizeThe connection of MATLAB module and common finite element module, sytem matrix assembling, data storageControl, Parallel coupled solution technique and iterative technique control solving precision.

7. vehicle-track-bridge according to claim 6-foundation coupled system is movingPower analytical method, is characterized in that: in vehicle structure modeling, vehicle adopts dynamics of rigid bodies to buildMould, by car body, bogie, wheel to regarding rigid body as, heavy by vibration car body and trailing or leading bogieFloat, nod, traversing, sidewinder and yaw motion feature, and each take turns right sink-float, traversing,Sidewinder the simulation of carrying out complete vehicle structure with yaw motion feature; According to the complicated journey of institute's problem analysisDegree, vehicle can be ignored wherein some free degree, forms the vehicle analysis model of simplifying.

8. vehicle-track-bridge according to claim 6-foundation coupled system is movingPower analytical method, is characterized in that: in described track irregularity sample curve, according to track spectrumThe analog orbit irregularity sample curve generating, or user is according to the sample song of actual measurement inputLine.

9. vehicle-track-bridge according to claim 6-foundation coupled system is movingPower analytical method, is characterized in that: in track structure modeling, rail adopts spatial beam to pressActual cross-section attribute carries out modeling; Fastener adopts spring-damping unit to carry out modeling; Rubber under railRubber cushion plate adopts spring damping Modelon Modeling; For Ballast track, sleeper adopts spatial beamSimulation, railway roadbed adopts the simulation of Winkler ground; For non-fragment orbit, track plates adopts spacePlate unit simulation, track plates lower support adopts the simulation of spring-damping unit; Or described bridgeIn structural modeling, according to the mechanical characteristic of bridge structure, bridge structure is carried out to Rational Simplification,Adopt the mode mould of plate unit, beam element, spring-dampers unit and bar unit hybrid modelingIntend each different structure member of bridge structure; Or in described foundation modeling, pile foundation is adoptedWith spatial beam simulation, the soil body adopts 3D solid unit simulation; Or described foundationIn modeling, according to the dynamic impedance of foundation, adopt spring-dampers ground foundation simulation respectivelyThe constraint of basis to bridge pier bottom in bridge structure, foundation is to bridge pier bottom in bridge structureConstraint comprise horizontal power impedance, vertical dynamic impedance and rotational power impedance; If placeThe enough rigidity of soil, can ignore foundation dynamic impedance, and rigid constraint is implemented in bridge pier bottom;Or during coupling solves, the dynamic interaction between track and bridge refers to according to different companiesThe form of connecing is determined corresponding rigidity and damping parameter, simulates by spring-damping unit;Or in coupling solves, the dynamic interaction between wheel track is in the mode of wheel track Dynamic ContactEmbody, rail level and tread profile are carried out discrete, adopt space trace method to determine that Wheel/Rail connectsTouch geometrical relationship, adopt full-sized search method to determine wheel track tread contact point, thereby meet dynamicallyThe requirement of Wheel Rail Contact complexity; Or in coupling solves, sytem matrix is assembled into Vehicular systemMatrix assembly or track-bridge-foundation system assembles; Vehicular system assembling is first basisDetermine rigidity and the damped coefficient of each free degree of vehicle, and then adopt according to elastic potential energy principleThe rule of sitting in the right seat is assembled the stiffness matrix of every joint car, finally according to every joint car in Vehicular systemPosition, composition Vehicular system matrix; Or in described coupling solves, data storage is controlled and isRefer to according to the memory size of computer and vehicle-track-bridge-foundation coupled systemModel complexity, selects to import and complete matrix storage mode with complete matrix, or selects with completeMatrix imports and sparse matrix storage mode, or selects to import and sparse matrix with sparse matrixStorage; Can all store result of calculation, also can select partial data to store; OrDuring coupling solves, Parallel coupled solution technique refers to and utilizes concurrent technique, calculated in each stepIn journey, wheel track Dynamic Contact being calculated to mean allocation carries out to each kernel of computer CPUParallel computation, improves computational efficiency; Or in coupling solves, based on the car of dynamics of rigid bodiesModel is all generated by MATLAB module, and MATLAB module has comprised vehicle structure and builtThe full detail that mould is required, the required full detail of described vehicle structure modeling comprises vehicle structureQuality, rigidity and the damping parameter of the distribution of the free degree and vehicle various piece; Consider vehicleThe auto model of each several part flexible characteristic generates and derives quality by common finite element software moduleMatrix, stiffness matrix, damping matrix data, read in by the MATLAB interface routine of working outData, common finite element software module has comprised the required full detail of vehicle structure modeling and has comprisedThe distribution of the free degree, car body, bogie, wheel are outstanding to the quality, two of, primary springQuality, rigidity, damping, elastic modelling quantity and the scantling parameter of extension system; Or in couplingIn solving, common finite element module has comprised track structure, bridge structure and Toft foundation structureThe full detail that modeling is required, track structure, bridge structure and the required letter of foundation modelingBreath comprise the distribution of the free degree and the quality of each minor structure, rigidity, damping, elastic modelling quantity andScantling parameter; Or in coupling solves, interface and control program TRBF-DYNAComplete the coupling of vehicle and track by MATLAB module and common finite element module, judgementWheel track relative position, determines Wheel Rail Contact state, calculates wheel-rail interaction power, and to groupVehicle-track-bridge-foundation the coupled system becoming carries out iterative, thus the system of obtainingThe dynamic response of each several part; Or in coupling solves, by wheel rail relation by auto model andThe coupling of track-bridge-foundation model forms Vehicle-bridge System-foundation coupled system powerEquation adopts implicit numerical integration and explicit numerical integration to combine in MATLAB moduleMode solve coupled system kinetic equation.