CN103150458A - Car-track-bridge-foundation coupling system and dynamic analysis method thereof - Google Patents
Car-track-bridge-foundation coupling system and dynamic analysis method thereof Download PDFInfo
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Abstract
The invention relates to a car-track-bridge-foundation coupling system. A pre-processing module is realized through an MATLAB car structure module and an MATLAB track irregularity sample curve module. A track-bridge-foundation module is realized based on general finite-element software and comprises a track structure model, a track-bridge dynamic interaction model, a bridge structure model, a soil-structure dynamic interaction model and a foundation model. A solving module is realized through an MATLAB wheel-rail dynamic contact calculation module, an MATLAB car system dynamic calculation module and an MATLAB track-bridge-foundation system dynamic calculation module, wherein the MATLAB wheel-rail dynamic contact calculation module is simulated through a track dynamic contact model. A post-processing module is realized through an MATLAB calculation data storage and graphic processing module. Therefore, the car-track-bridge-foundation coupling system is formed.
Description
Technical field
The present invention relates to the method for dynamic analysis of a kind of vehicle-track based on vehicle-track-bridge-foundation Space Coupling model-bridge-foundation coupled system, belong to railway engineering application and calculate and design field.
Background technology
The train speed raising of existing line, newly-built Line for Passenger Transportation and high-speed railway are because the speed of a motor vehicle is higher, and for satisfying the requirement of travel safety and riding comfort, the rigidity requirement to structure under rail smooth and rail in the relevant design standard is higher; Simultaneously from environmental protection, save the aspects such as soil, Site Soil condition, landform and consider, the country of China, France, Germany and the high speed track traffic prosperity such as Japanese often in Line for Passenger Transportation and high-speed railway circuit a large amount of overpass that adopt as the substructure of track.In recent years Shenzhen and Hong Kong, the capital Line for Passenger Transportation, Zheng Xi Line for Passenger Transportation and the Beijing-Shanghai Line for Passenger Transportation that come into operation take China are as example, and bridge average proportion in whole circuit mileage is 73%, and the part highway section is up to more than 87%.Than traditional roadbed track, because bridge structure has higher rigidity, control at the circuit smooth degree, higher advantage arranged aspect settlement Control, so in researching and analysing in the past, be mostly to adopt vehicle-track-bridge coupled system to carry out dynamic analysis.This analytical approach is assumed to prerequisite with basic rigidity, for I class, II class Site Soil, because Site Soil is harder, adopts basic rigidity to suppose a kind of simple and effective analytical approach of can yet be regarded as.But for the bridge structure of passing through deep soft layer, Site Soil often belongs to III class or IV class Site Soil, the ground ground can't satisfy rigid assumption to the constraint of bridge pier, need to consider flexibility of foundation to the impact of superstructure dynamic response, the dynamic analysis that therefore need to set up vehicle-track-bridge-foundation coupled system.
In vehicle-track-bridge-foundation coupled vibrations research, owing to should considering complicated wheel-rail contact relationship, can reflect the vibration characteristics of vehicle, track, bridge, foundation again, tradition research only limits to car-line-bridge coupled system vibration research, and be limited to internal memory and the counting yield problem that can't overcome, track, bridge structure have all been carried out more simplification.Dynamics of vehicle soft sim PACK, NUCARS etc. as common can easily realize the multi-body dynamics modeling of vehicle structure, and carry the Wheel Rail Contact module, but are difficult to meticulously track switch and bridge be simulated.And present common finite element software for calculation such as ANSYS, MARC, the softwares such as DYNIA carry out careful finite element analogy although be good to structures such as track and bridges, but be difficult to carry out simultaneously the rigid multibody dynamics modeling of vehicle structure, and can't directly simulate wheel-rail contact relationship.Although self-editing dedicated computing program can realize the hybrid modeling of many bodies and finite element, the unit kind is limited, be difficult to structural detail is simulated, and often modeling work is heavy.Fast development along with China Express Railway, for accurately, reliably, rapidly vehicle-track-bridge-foundation coupled system is carried out dynamics assessment, require a kind of easy and simple to handle, careful complete, rapidly and efficiently, can accurately reflect modeling and the analytical approach of coupled system dynamics.
Therefore, research a kind of novel a kind of vehicle-track-bridge-foundation coupled system and method for dynamic analysis thereof have become the technical matters that needs to be resolved hurrily.
Summary of the invention
Defective for the prior art existence, the objective of the invention is to propose a kind of vehicle-track-bridge-foundation coupled system, (MATLAB is the business mathematics software that U.S. MathWorks company produces based on MATLAB software, be used for advanced techniques computational language and the interactive environment of algorithm development, data visualization, data analysis and numerical evaluation, mainly comprise MATLAB and Simulink two large divisions.) a kind of vehicle-track-bridge-foundation coupled system method of dynamic analysis is provided.the inventive method is for the characteristics of self-compiling program and business software, utilize MATLAB self-compiling program module to complete modeling and the simulation of the Dynamic Contact between wheel track of vehicle structure, utilizing the common finite element software module (can be the Marc module, the LS-DYNA module, ANSYS module etc.) complete track structure, the modeling of bridge structure and foundation and the dynamic interaction between track-bridge and the simulation of the dynamic interaction between bridge-foundation, the interface of recycling independent development is connected that with control program TRBF-DYNA the MATLAB module is connected connection with the ANSYS module, the system matrix assembling, the data storage is controlled, Parallel coupled solution technique and iterative technique are controlled solving precision.China MARC format standard (English: MAchine-ReadableCataloging, abbreviation: MARC), be a kind of communication format standard of taking care of books, make directory information exchange purposes between library or publisher in order to allow.LS-DYNA is foremost general explicit dynamic analysis program in the world, various challenges that can simulate real world, be particularly suitable for finding the solution the non-linear dynamic shock problems such as high velocity impact, blast and metal forming of various two dimensions, three dimensional non-linear structure, can find the solution the solid coupled problem of heat transfer, fluid and stream simultaneously.Be widely recognized as best analysis software package in the engineering application.Confirmed the reliability of its calculating with the contrast many times of experiment.ANSYS software is that merge structure, fluid, electric field, magnetic field, Analysis of The Acoustic Fields are in the large-scale general finite element analysis software of one.TRBF-DYNA is based on the control software of developing on the matlab platform, is a control module, is used for calling other modules.
technical scheme of the present invention is: a kind of vehicle-track-bridge-foundation coupled system, it is characterized in that: comprise the vehicle structure model, the track structure model, bridge structural model, the foundation model, wheel track dynamic contact model between wheel and rails, line bridge dynamic interaction model between track and bridge and the soil-structure dynamic interaction model between bridge and ground, the TRBF-DYNA control module is controlled pre-processing module, find the solution module and post-processing module, pre-processing module is realized by MATLAB vehicle structure module and MATLAB track irregularity sample curve module, track-bridge-foundation module is based on common finite element software and realizes, track-bridge-foundation module includes the track structure model, line bridge dynamic interaction model, bridge structural model, soil-structure dynamic interaction model and foundation model, find the solution module by MATLAB wheel track Dynamic Contact computing module, MATLAB Vehicular system Cable Power Computation module and MATLAB track-bridge-foundation system dynamic computing module is realized, MATLAB wheel track Dynamic Contact computing module is simulated by the track dynamic contact model, post-processing module is stored by the MATLAB computational data and pattern process module is realized, form vehicle-track-bridge-foundation coupled system.
Preferably, the MATLAB pre-processing module is mainly used to build the dynamics of vehicle equation and according to the track spectrum generator orbital irregularity sample point of input; The common finite element module builds track-bridge-foundation finite element model according to orbit parameter, line bridge dynamic interaction model, bridge structure parameter, soil-structure dynamic interaction model and foundation parameter, and derives finite element model quality, rigidity, damping and boundary condition parameter.
Preferably, MATLAB wheel rail force computing module is mainly contact force and the contact movement state according to Wheel Rail Contact state computation Wheel/Rail Contact Point place; At first MATLAB Vehicular system Cable Power Computation module reads wheel-rail contact force and contact movement state, and it as external force and Boundary Condition for Solving Vehicular system kinetic equation; At first MATLAB track-bridge-foundation system dynamic computing module reads wheel-rail contact force and contact movement state, and it as external force and Boundary Condition for Solving track-bridge-foundation governing equations of motion.
Preferably, MATLAB computational data storage and pattern process module are used for showing after the real-time animation of vehicle real-time animation in computation process, Wheel Rail Contact state, track-bridge-foundation system and calculating are completed vehicle-track-bridge-foundation coupled system dynamic analysis data are stored, and show the Dynamic time history curve.
Preferably, the vehicle structure model adopts the multiple degrees of freedom vehicle structure model of rigid dynamics modeling, perhaps adopts the multiple degrees of freedom finite element model of considering each parts flexibility of car body; The track structure model is Ballast track model or non-fragment orbit model, and wherein rail adopts 50kg rail, the 60kg rail of standard, perhaps adopts self-defining arbitrary shape rail; Bridge structural model adopts shape steel-concrete combined beam bridge model, reinforced concrete simple-supported beam bridge model, reinforced concrete continuous beam bridge model, reinforced concrete arch bridge model, reinforced concrete suspension bridge model, Reinforced Concrete Cable-Stayed Bridge model, steel case free beam model, steel case arch bridge model, steel case suspension bridge model or steel case Cable-stayed Bridge Model; The foundation model adopts pile foundation-soil model or natural foundation-soil model; The Multi-contact model that the wheel track dynamic contact model adopts the closing contact model of not considering wheel track and separating, the single-point contact model of considering the wheel track separation or consideration wheel track to separate; Vehicle structure model and described wheel track dynamic contact model adopt the MATLAB module to complete; Track structure model, bridge structural model, foundation model, line bridge dynamic interaction model and soil-structure dynamic interaction model adopt common finite element software module (can be Marc module, LS-DYNA module, ANSYS module etc.) to complete; On the basis of above-mentioned modeling work, interface and control program TRBF-DYNA by MATLAB module and common finite element software module (can be Marc module, LS-DYNA module, ANSYS module etc.) realize between vehicle, track, bridge and foundation interconnect and coupling is found the solution.
Another technical scheme of the present invention is: a kind of vehicle-track-bridge-foundation coupled system method of dynamic analysis, it is characterized in that, comprise: the vehicle structure modeling: utilize the MATLAB module to complete the modeling of vehicle structure, obtain car body acceleration, wheel-rail force, derailment coefficients and four kinds of crucial dynamics indexs of rate of wheel load reduction after finding the solution; The track irregularity sample curve: utilize the MATLAB module to complete the track irregularity sample curve and generate, 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 (can be Marc module, LS-DYNA module, ANSYS module etc.) to complete the modeling of track structure, obtain vibration acceleration, speed, moving three kinds of crucial dynamics indexs of displacement of steel-rail structure and track plates structure after finding the solution; Bridge structure modeling: utilize common finite element software module (can be Marc module, LS-DYNA module, ANSYS module etc.) to complete the modeling of bridge structure, obtain vibration acceleration, speed, moving three kinds of crucial dynamics indexs of displacement of bridge structure after finding the solution; Foundation modeling: utilize common finite element software module (can be Marc module, LS-DYNA module, ANSYS module etc.) to complete the modeling of foundation, obtain vibration acceleration, speed, moving three kinds of crucial dynamics indexs of displacement of foundation after finding the solution; Coupling is found the solution: on the basis of above-mentioned modeling work, analyze the dynamic interaction between dynamic interaction, bridge and the foundation between dynamic interaction, track and the bridge between wheel track, utilize that the corresponding interface is connected with control program TRBF-DYNA module that the MATLAB module is connected with the common finite element module that connection, system matrix assembling, data storage are controlled, Parallel coupled solution technique and iterative technique control solving precision.
Preferably, in the vehicle structure modeling, vehicle adopts the rigid dynamics modeling, with car body, bogie, wheel to regarding rigid body as, by the sink-float of vibration car body and trailing or leading bogie, nod, traversing, sidewinder and the yaw motion feature, and each take turns right sink-float, traversing, sidewinder the simulation of carrying out complete vehicle structure with the yaw motion feature; According to the complexity of institute's problem analysis, vehicle can be ignored wherein some degree of freedom, forms the vehicle analysis model of simplifying.
Preferably, in the vehicle structure modeling, to the car body of vehicle, bogie, wheel to adopting physical size and material properties modeling, consider the plastic deformation of vehicle various piece under dynamic load function, wherein car body adopts plate Modelon Modeling, bogie to adopt beam element modeling, wheel to adopting the plate Modelon Modeling.
Preferably, in the track irregularity sample curve, according to the analog orbit irregularity sample curve that track spectrum generates, perhaps the user is according to the sample curve of actual measurement input.
Preferably, in the track structure modeling, rail adopts spatial beam to carry out modeling by the actual cross-section attribute; Fastener adopts spring-damping unit to carry out modeling; Rubber tie plate under rail adopts the spring damping Modelon Modeling; For Ballast track, sleeper adopts the spatial beam simulation, and railway roadbed adopts the simulation of Winkler ground; For non-fragment orbit, track plates adopts the spatial plate unit simulation, and the track plates lower support adopts spring-damping unit simulation.
Preferably, in the bridge structure modeling, according to the mechanical characteristic of bridge structure, bridge structure is carried out Rational Simplification, each different structure member that adopts the mode of plate unit, beam element, spring-dampers unit and bar unit hybrid modeling to simulate bridge structure.
Preferably, in the foundation modeling, pile foundation adopts the spatial beam simulation, and the soil body adopts the 3D solid unit simulation.
Preferably, in the foundation modeling, dynamic impedance according to foundation, adopt the spring-dampers constraint of ground foundation simulation basis to bridge pier bottom in bridge structure respectively, foundation comprises horizontal power impedance, vertical dynamic impedance and rotational power impedance to the constraint of bridge pier bottom in bridge structure; If the enough rigidity of Site Soil can be ignored the foundation dynamic impedance, to bridge pier bottom enforcement rigid constraint.
Preferably, coupling is found the solution, and track refers to determine corresponding rigidity and damping parameter according to different types of attachment from dynamic interaction between bridge, simulates by spring-damping unit.
Preferably, in coupling is found the solution, dynamic interaction between wheel track embodies in the mode of wheel track Dynamic Contact, carry out discrete to rail level and tread profile, adopt space trace method to determine the Wheel/Rail Contact Geometric, adopt the full-sized search procedure to determine wheel track tread contact point, thereby satisfy the requirement of dynamic Wheel Rail Contact complicacy.
Preferably, in coupling was found the solution, system matrix was assembled into Vehicular system matrix assembly or track-bridge-foundation system assembles; The Vehicular system assembling is first according to rigidity and the ratio of damping of determining each degree of freedom of vehicle, and then adopt the rule of sitting in the right seat to assemble the stiffness matrix of every joint car according to the elastic potential energy principle, and then according to the position of every joint car in Vehicular system, form the Vehicular system matrix.
Preferably, in described coupling is found the solution, the model complexity that refers to according to memory size and the vehicle-track-bridge-foundation coupled system of computing machine is controlled in the data storage, selection imports and the complete matrix storage mode with complete matrix, perhaps select to import and the sparse matrix storage mode with complete matrix, perhaps select to import and the sparse matrix storage with sparse matrix; Can result of calculation all be stored according to the needs of care problem, also can the selection portion divided data store.
Preferably, in coupling was found the solution, the Parallel coupled solution technique referred to utilize concurrent technique, the wheel track Dynamic Contact was calculated mean allocation in each step computation process and carried out parallel computation, the raising counting yield to each kernel of computer CPU.
Preferably, in coupling is found the solution, iterative technique is controlled solving precision and is referred to by setting the convergence criterion of displacement and power, after each step, calculating was completed, whether displacement between comparison Vehicular system and track-bridge-foundation coupled system, wheel-rail force satisfied the coupling calculating that convergence criterion determines whether to finish the current calculating step.
preferably, in coupling is found the solution, auto model based on rigid dynamics is all generated by the MATLAB module, the MATLAB module has comprised the required full detail of vehicle structure modeling, and the required full detail of described vehicle structure modeling comprises the distribution of vehicle structure degree of freedom and quality, rigidity and the damping parameter of vehicle various piece, the auto model of described consideration vehicle each several part flexible characteristic (can be the Marc module by the common finite element software module, the LS-DYNA module, ANSYS module etc.) generate and derive mass matrix, stiffness matrix, the damping matrix data, MATLAB interface routine reading data by establishment, the common finite element software module (can be the Marc module, the LS-DYNA module, ANSYS module etc.) comprised the distribution that the required full detail of vehicle structure modeling comprises degree of freedom, car body, bogie, it is right to take turns, the quality of primary spring, the quality of secondary suspension system, rigidity, damping, elastic modulus and scantling parameter.
Preferably, in coupling is found the solution, the common finite element module has comprised track structure, bridge structure and the required full detail of Toft foundation structure modeling, and track structure, bridge structure and the required information of foundation modeling comprise the distribution of degree of freedom and quality, rigidity, damping, elastic modulus and the scantling parameter of each minor structure.
Preferably, in coupling is found the solution, interface and control program TRBF-DYNA complete the coupling of vehicle and track by MATLAB module and common finite element module, judgement wheel track relative position, determine the Wheel Rail Contact state, calculate wheel-rail interaction power, and vehicle-track of forming-bridge-foundation coupled system is carried out iterative, thereby obtains the dynamic response of system's each several part.
Preferably, in coupling is found the solution, by wheel rail relation, auto model and track-bridge-foundation model coupling are formed Vehicle-bridge System-foundation coupled system kinetic equation, the mode that adopts implicit numerical integration and explicit numerical integration to combine in the MATLAB module is found the solution the coupled system kinetic equation.
Useful technique effect of the present invention is:
1, the present invention proposes a kind of vehicle-track-bridge-foundation coupled system, (MATLAB is the business mathematics software that U.S. MathWorks company produces based on MATLAB software, be used for advanced techniques computational language and the interactive environment of algorithm development, data visualization, data analysis and numerical evaluation, mainly comprise MATLAB and Simulink two large divisions.) a kind of vehicle-track-bridge-foundation coupled system method of dynamic analysis is provided.the inventive method is for the characteristics of self-compiling program and business software, utilize MATLAB self-compiling program module to complete modeling and the simulation of the Dynamic Contact between wheel track of vehicle structure, utilizing the common finite element software module (can be the Marc module, the LS-DYNA module, ANSYS module etc.) complete track structure, the modeling of bridge structure and foundation and the dynamic interaction between track-bridge and the simulation of the dynamic interaction between bridge-foundation, the interface of recycling independent development is connected that with control program TRBF-DYNA the MATLAB module is connected connection with the ANSYS module, the system matrix assembling, the data storage is controlled, Parallel coupled solution technique and iterative technique are controlled solving precision.
2, the invention provides a kind of vehicle-track accurately and effectively-bridge-foundation coupled system method of dynamic analysis, the method that it adopts self-compiling program and business software to combine, both taken into full account contact relation complicated between wheel track, as far as possible complete modeling to track structure, bridge structure and foundation by virtual condition again, fully guaranteed the careful, complete, accurate of model, relatively traditional modeling method has obvious improvement.Modeling method according to the present invention is with self-compiling program, the ingenious combination of both modeling means of business software, namely can bring into play the self-compiling program modeling comparatively flexibly, be easy to the advantage expanding and redevelop, can give full play to again that common finite element is careful on structural modeling, characteristics quickly and accurately, extremely be convenient to the modeling analysis of vehicle-track-bridge-foundation Fourier Series expansion technique, have very high theory value and business promotion prospect.
Description of drawings
The structural representation of Fig. 1 vehicle-track-bridge-foundation coupled system.
Fig. 2 is the structural representation of vehicle-track-bridge-foundation coupled system method of dynamic analysis accurately and effectively.
Fig. 3 vehicle computation model schematic diagram.
The vertical irregularity sample point of the track curve map that Fig. 4 generates according to six grades of track spectrums of the U.S..
The horizontal irregularity sample point of the track curve map that Fig. 5 generates according to six grades of track spectrums of the U.S..
Fig. 6 cross-car vibration acceleration diagram.
Fig. 7 car body vertical motion acceleration diagram.
Fig. 8 motor-car revolver derailment coefficients diagram.
The right derailment coefficients diagram of taking turns of Fig. 9 motor-car.
Figure 10 trailer revolver derailment coefficients diagram.
The right derailment coefficients diagram of taking turns of Figure 11 trailer.
Figure 12 motor-car forecarriage transversal displacement diagram.
Figure 13 motor-car forecarriage vertical displacement diagram.
Figure 14 motor-car trailing bogie transversal displacement diagram.
Figure 15 motor-car trailing bogie vertical displacement diagram.
Figure 16 motor-car first round illustrates transversal displacement.
Figure 17 motor-car first round illustrates vertical displacement.
Figure 18 motor-car first round is shown sidewindering curve of angle displacement.
Figure 19 motor-car first round is to the angle diagram of shaking the head.
Figure 20 motor-car first round illustrates left rail transverse force.
Figure 21 motor-car first round illustrates left rail vertical force.
Figure 22 motor-car first round illustrates right rail transverse force.
Figure 23 motor-car first round illustrates right rail vertical force.
Figure 24 trailer first round illustrates left rail transverse force.
Figure 25 trailer first round illustrates left rail vertical force.
Figure 26 trailer first round illustrates right rail transverse force.
Figure 27 trailer first round illustrates right rail vertical force.
Figure 28 rail vertical motion displacement diagram.
Figure 29 rail transverse vibration displacement diagram.
Figure 30 rail vertical motion acceleration diagram.
Figure 31 rail transverse vibration acceleration diagram.
Node vertical motion displacement diagram in Figure 32 bridge span.
Node transverse vibration displacement diagram in Figure 33 bridge span.
Node vertical motion acceleration diagram in Figure 34 bridge span.
Node transverse vibration acceleration diagram in Figure 35 bridge span.
Figure 36 pier top vertical motion acceleration diagram.
Figure 37 pier top transverse vibration acceleration diagram.
Figure 38 basis vertical motion acceleration diagram.
Figure 39 Base Vibration acceleration diagram.
Embodiment
Below in conjunction with specific embodiment, the present invention will be further described with reference to accompanying drawing.
Fig. 1 is the structural representation of embodiment of the present invention vehicle-track-bridge-foundation coupled system, as shown in Figure 1, vehicle-track-bridge-foundation coupled system comprises the vehicle structure model, the track structure model, bridge structural model, the foundation model, wheel track dynamic contact model between wheel and rails, line bridge dynamic interaction model between track and bridge and the soil-structure dynamic interaction model between bridge and ground, the TRBF-DYNA control module is controlled pre-processing module, find the solution module and post-processing module, pre-processing module is realized by MATLAB vehicle structure module and MATLAB track irregularity sample curve module, track-bridge-foundation module is based on common finite element software and realizes, track-bridge-foundation module includes the track structure model, line bridge dynamic interaction model, bridge structural model, soil-structure dynamic interaction model and foundation model, find the solution module by MATLAB wheel track Dynamic Contact computing module, MATLAB Vehicular system Cable Power Computation module and MATLAB track-bridge-foundation system dynamic computing module is realized, MATLAB wheel track Dynamic Contact computing module is simulated by the track dynamic contact model, post-processing module is stored by the MATLAB computational data and pattern process module is realized, form vehicle-track-bridge-foundation coupled system.
Fig. 2 is the structural representation of a kind of vehicle-track accurately and effectively of the embodiment of the present invention-bridge-foundation coupled system method of dynamic analysis.
The present embodiment with train on the at the uniform velocity straight-line pass Beijing-Shanghai High-Speed Railway of 250km/h speed one two across standard 32m simple supported box beam as example, the method is introduced.Vehicle adopts the ICE3 vehicle parameter, and wherein the motor-car vehicle parameter is: length over pulling faces of cou plers m, and spacing 17.375m, wheelbase 2.5m, car body quality 48t, framework quality 3.2t, wheel is to quality 2.4t; Trailer car vehicle parameter is: length over pulling faces of cou plers m, and spacing 17.375m, wheelbase 2.5m, car body quality 44t, framework quality 2.4t, wheel is to quality 2.4t.Rail is standard 60kg rail, fastener rigidity 5.5Mn/m, rail lower cushion block rigidity 6.3Mn/m, track thickness of slab 0.3m, plate lower support rigidity 21Gpa/m.Bridge is standard 32m free beam, and the beam body adopts the C50 concrete.Adopt nose circle shape solid pier, the high 15m of pier.The foundation soil body shear wave velocity is 350m/s.Consider vertical and cross track irregularity, disturbance spectrum low according to Germany adopts trigonometric series method to generate vertical and cross track irregularity sample point.Carry out vehicle-track-bridge-foundation coupled system modeling according to the present invention, process as shown in Figure 1.
In the vehicle structure modeling, for the sink-float of car body and trailing or leading bogie, nod, traversing, sidewinder and the yaw motion feature, and each take turns right sink-float, traversing, sidewinder the simulation of carrying out whole vehicle model with the yaw motion feature;
In the track structure modeling, rail adopts spatial beam to carry out modeling by the actual cross-section attribute; Fastener adopts spring-damping unit to carry out modeling; Rubber tie plate under rail adopts the spring damping Modelon Modeling; Fragment-free track slab adopts the spatial plate unit simulation, and the track plates lower support adopts spring-damping unit simulation.
In the bridge structure modeling, according to the mechanical characteristic of bridge structure, bridge structure is carried out Rational Simplification, adopt variable cross section spatial beam simulation bridge structure.
In the foundation modeling, can adopt the spring-dampers constraint of ground foundation simulation basis to bridge pier bottom in bridge structure respectively according to the dynamic impedance of foundation, comprising: horizontal power impedance, vertical dynamic impedance and rotational power impedance.
Can obtain the dynamic responses such as the vibration acceleration of vehicle, track structure, bridge and foundation each several part, moving displacement according to the method for the present embodiment; Can obtain the dynamic responses such as the vertical acting force of wheel track, wheel track horizontal force; Can obtain traffic safety, the comfort indexs such as derailment coefficients, rate of wheel load reduction, car body acceleration.
Main calculation results such as Fig. 3 are to shown in Figure 38.Fig. 3 is vehicle computation model schematic diagram, and as shown in Figure 3, car body is arranged with two groups of bogies, and to forming, opinion to lower and Wheel Rail Contact, is primary suspension between car body and framework to bogie, is secondary suspension between framework and wheel track by framework and wheel.Fig. 4 is the vertical irregularity sample point of the track curve map that the embodiment of the present invention generates according to six grades of track spectrums of the U.S..Fig. 5 is the horizontal irregularity sample point of the track curve map that the embodiment of the present invention generates according to six grades of track spectrums of the U.S..Fig. 6 is cross-car vibration acceleration diagram.Fig. 7 is car body vertical motion acceleration diagram.Fig. 8 is motor-car revolver derailment coefficients diagram.Fig. 9 is the right derailment coefficients diagram of taking turns of motor-car.Figure 10 is trailer revolver derailment coefficients diagram.Figure 11 is the right derailment coefficients diagram of taking turns of trailer.Figure 12 is motor-car forecarriage transversal displacement diagram.Figure 13 is motor-car forecarriage vertical displacement diagram.Figure 14 is motor-car trailing bogie transversal displacement diagram.Figure 15 is motor-car trailing bogie vertical displacement diagram.Figure 16 illustrates transversal displacement the motor-car first round.Figure 17 illustrates vertical displacement the motor-car first round.Figure 18 shows sidewindering curve of angle displacement the motor-car first round.Figure 19 is that the motor-car first round is to the angle diagram of shaking the head.Figure 20 illustrates left rail transverse force the motor-car first round.Figure 21 illustrates left rail vertical force the motor-car first round.Figure 22 illustrates right rail transverse force the motor-car first round.Figure 23 illustrates right rail vertical force the motor-car first round.Figure 24 illustrates left rail transverse force the trailer first round.Figure 25 illustrates left rail vertical force the trailer first round.Figure 26 illustrates right rail transverse force the trailer first round.Figure 27 illustrates right rail vertical force the trailer first round.Figure 28 is rail vertical motion displacement diagram.Figure 29 is rail transverse vibration displacement diagram.Figure 30 is rail vertical motion acceleration diagram.Figure 31 is rail transverse vibration acceleration diagram.Figure 32 is node vertical motion displacement diagram in bridge span.Figure 33 is node transverse vibration displacement diagram in bridge span.Figure 34 is node vertical motion acceleration diagram in bridge span.Figure 35 is node transverse vibration acceleration diagram in bridge span.Figure 36 is pier top vertical motion acceleration diagram.Figure 37 is pier top transverse vibration acceleration diagram.Figure 38 is basic vertical motion acceleration diagram.Figure 39 is Base Vibration acceleration diagram.
Claims (10)
1. vehicle-track-bridge-foundation coupled system, it is characterized in that: comprise the vehicle structure model module, the track structure model module, the bridge structural model module, the foundation model module, wheel track dynamic contact model module between wheel and rails, line bridge dynamic interaction model module between track and bridge and the soil-structure dynamic interaction model module between bridge and ground, the TRBF-DYNA control module is controlled pre-processing module, find the solution module and post-processing module
Wherein said pre-processing module is realized by MATLAB vehicle structure module and MATLAB track irregularity sample curve module, track-bridge-foundation module is based on common finite element software and realizes, described track-bridge-foundation module includes track structure model, line bridge dynamic interaction model, bridge structural model, soil-structure dynamic interaction model and foundation model;
The described module of finding the solution realizes by MATLAB wheel track Dynamic Contact computing module, MATLAB Vehicular system Cable Power Computation module and MATLAB track-bridge-foundation system dynamic computing module, and described MATLAB wheel track Dynamic Contact computing module is simulated by the track dynamic contact model;
Described post-processing module is stored by the MATLAB computational data and pattern process module is realized, forms vehicle-track-bridge-foundation coupled system.
2. vehicle-track according to claim 1-bridge-foundation coupled system is characterized in that: described MATLAB pre-processing module is mainly used to build the dynamics of vehicle equation and according to the track spectrum generator orbital irregularity sample point of input; Described common finite element module builds track-bridge-foundation finite element model according to orbit parameter, line bridge dynamic interaction model, bridge structure parameter, soil-structure dynamic interaction model and foundation parameter, and derives finite element model quality, rigidity, damping and boundary condition parameter.
3. vehicle-track according to claim 1-bridge-foundation coupled system, it is characterized in that: described MATLAB wheel rail force computing module is mainly contact force and the contact movement state according to Wheel Rail Contact state computation Wheel/Rail Contact Point place; At first described MATLAB Vehicular system Cable Power Computation module reads wheel-rail contact force and contact movement state, and it as external force and Boundary Condition for Solving Vehicular system kinetic equation; At first described MATLAB track-bridge-foundation system dynamic computing module reads wheel-rail contact force and contact movement state, and it as external force and Boundary Condition for Solving track-bridge-foundation governing equations of motion.
4. vehicle-track according to claim 1-bridge-foundation coupled system, it is characterized in that: the storage of described MATLAB computational data and pattern process module are used for showing after the real-time animation of vehicle real-time animation in computation process, Wheel Rail Contact state, track-bridge-foundation system and calculating are completed vehicle-track-bridge-foundation coupled system dynamic analysis data are stored, and show the Dynamic time history curve.
5. vehicle-track according to claim 1-bridge-foundation coupled system, it is characterized in that: described vehicle structure model adopts the multiple degrees of freedom vehicle structure model of rigid dynamics modeling, perhaps adopts the multiple degrees of freedom finite element model of considering each parts flexibility of car body;
Described track structure model is Ballast track model or non-fragment orbit model, and wherein rail adopts 50kg rail, the 60kg rail of standard, perhaps adopts self-defining arbitrary shape rail;
Described bridge structural model adopts shape steel-concrete combined beam bridge model, reinforced concrete simple-supported beam bridge model, reinforced concrete continuous beam bridge model, reinforced concrete arch bridge model, reinforced concrete suspension bridge model, Reinforced Concrete Cable-Stayed Bridge model, steel case free beam model, steel case 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;
The Multi-contact model that described wheel track dynamic contact model adopts the closing contact model of not considering wheel track and separating, the single-point contact model of considering the wheel track separation or consideration wheel track to separate;
Described vehicle structure model and described wheel track dynamic contact model adopt the MATLAB module to complete; Track structure model, bridge structural model, foundation model, line bridge dynamic interaction model and soil-structure dynamic interaction model adopt the common finite element software module to complete; On the basis of above-mentioned modeling work, interface and control program TRBF-DYNA by MATLAB module and common finite element software module realize between vehicle, track, bridge and foundation interconnect and coupling is found the solution.
6. be applied to the vehicle-track-bridge-foundation coupled system method of dynamic analysis in claim 1 described system, it is characterized in that: comprising:
Vehicle structure modeling: utilize the MATLAB module to complete the modeling of vehicle structure, obtain car body acceleration, wheel-rail force, derailment coefficients and four kinds of crucial dynamics indexs of rate of wheel load reduction after finding the solution;
The track irregularity sample curve: utilize the MATLAB module to complete the track irregularity sample curve and generate, can the vertical irregularity of generator orbital, laterally irregularity, direction irregularity, suitable, gauge irregularity sample curve is uneven;
Track structure modeling: utilize the common finite element software module to complete the modeling of track structure, obtain vibration acceleration, speed, moving three kinds of crucial dynamics indexs of displacement of steel-rail structure and track plates structure after finding the solution;
Bridge structure modeling: utilize the common finite element software module to complete the modeling of bridge structure, obtain vibration acceleration, speed, moving three kinds of crucial dynamics indexs of displacement of bridge structure after finding the solution;
Foundation modeling: utilize the common finite element software module to complete the modeling of foundation, obtain vibration acceleration, speed, moving three kinds of crucial dynamics indexs of displacement of foundation after finding the solution;
Coupling is found the solution: on the basis of above-mentioned modeling work, analyze the dynamic interaction between dynamic interaction, bridge and the foundation between dynamic interaction, track and the bridge between wheel track, utilize that the corresponding interface is connected with control program TRBF-DYNA module that the MATLAB module is connected with the common finite element module that connection, system matrix assembling, data storage are controlled, Parallel coupled solution technique and iterative technique control solving precision.
7. vehicle-track according to claim 6-bridge-foundation coupled system method of dynamic analysis, it is characterized in that: in the vehicle structure modeling, vehicle adopts the rigid dynamics modeling, with car body, bogie, wheel to regarding rigid body as, by the sink-float of vibration car body and trailing or leading bogie, nod, traversing, sidewinder and the yaw motion feature, and each take turns right sink-float, traversing, sidewinder the simulation of carrying out complete vehicle structure with the yaw motion feature; According to the complexity of institute's problem analysis, vehicle can be ignored wherein some degree of freedom, forms the vehicle analysis model of simplifying.
8. vehicle-track according to claim 6-bridge-foundation coupled system method of dynamic analysis, it is characterized in that: in the vehicle structure modeling, to the car body of vehicle, bogie, wheel to adopting physical size and material properties modeling, consider the plastic deformation of vehicle various piece under dynamic load function, wherein car body adopts plate Modelon Modeling, bogie to adopt beam element modeling, wheel to adopting the plate Modelon Modeling.
9. vehicle-track according to claim 6-bridge-foundation coupled system method of dynamic analysis, it is characterized in that: in described track irregularity sample curve, according to the analog orbit irregularity sample curve that track spectrum generates, perhaps the user is according to the sample curve of actual measurement input.
10. vehicle-track according to claim 6-bridge-foundation coupled system method of dynamic analysis is characterized in that: in the track structure modeling, rail adopts spatial beam to carry out modeling by the actual cross-section attribute; Fastener adopts spring-damping unit to carry out modeling; Rubber tie plate under rail adopts the spring damping Modelon Modeling; For Ballast track, sleeper adopts the spatial beam simulation, and railway roadbed adopts the simulation of Winkler ground; For non-fragment orbit, track plates adopts the spatial plate unit simulation, and the track plates lower support adopts spring-damping unit simulation; Perhaps in described bridge structure modeling, according to the mechanical characteristic of bridge structure, bridge structure is carried out Rational Simplification, each different structure member that adopts the mode of plate unit, beam element, spring-dampers unit and bar unit hybrid modeling to simulate bridge structure; Perhaps in described foundation modeling, pile foundation adopts the spatial beam simulation, and the soil body adopts the 3D solid unit simulation; Perhaps in described foundation modeling, dynamic impedance according to foundation, adopt the spring-dampers constraint of ground foundation simulation basis to bridge pier bottom in bridge structure respectively, foundation comprises horizontal power impedance, vertical dynamic impedance and rotational power impedance to the constraint of bridge pier bottom in bridge structure; If the enough rigidity of Site Soil can be ignored the foundation dynamic impedance, to bridge pier bottom enforcement rigid constraint; Perhaps coupling is found the solution, and track refers to determine corresponding rigidity and damping parameter according to different types of attachment from dynamic interaction between bridge, simulates by spring-damping unit; Perhaps in coupling is found the solution, dynamic interaction between wheel track embodies in the mode of wheel track Dynamic Contact, carry out discrete to rail level and tread profile, adopt space trace method to determine the Wheel/Rail Contact Geometric, adopt the full-sized search procedure to determine wheel track tread contact point, thereby satisfy the requirement of dynamic Wheel Rail Contact complicacy; Perhaps in coupling was found the solution, system matrix was assembled into Vehicular system matrix assembly or track-bridge-foundation system assembles; The Vehicular system assembling is first according to rigidity and the ratio of damping of determining each degree of freedom of vehicle, and then adopt the rule of sitting in the right seat to assemble the stiffness matrix of every joint car according to the elastic potential energy principle, according to the position of every joint car in Vehicular system, form the Vehicular system matrix at last; Perhaps in described coupling is found the solution, the model complexity that refers to according to memory size and the vehicle-track-bridge-foundation coupled system of computing machine is controlled in the data storage, selection imports and the complete matrix storage mode with complete matrix, perhaps select to import and the sparse matrix storage mode with complete matrix, perhaps select to import and the sparse matrix storage with sparse matrix; Can all store result of calculation, also can select partial data to store; Perhaps in coupling was found the solution, the Parallel coupled solution technique referred to utilize concurrent technique, the wheel track Dynamic Contact was calculated mean allocation in each step computation process and carried out parallel computation, the raising counting yield to each kernel of computer CPU; Perhaps in coupling is found the solution, iterative technique is controlled solving precision and is referred to by setting the convergence criterion of displacement and power, after each step, calculating was completed, whether displacement between comparison Vehicular system and track-bridge-foundation coupled system, wheel-rail force satisfied the coupling calculating that convergence criterion determines whether to finish the current calculating step; Perhaps in coupling is found the solution, auto model based on rigid dynamics is all generated by the MATLAB module, the MATLAB module has comprised the required full detail of vehicle structure modeling, and the required full detail of described vehicle structure modeling comprises the distribution of vehicle structure degree of freedom and quality, rigidity and the damping parameter of vehicle various piece; The auto model of described consideration vehicle each several part flexible characteristic generates and derives mass matrix, stiffness matrix, damping matrix data by the common finite element software module, by the MATLAB interface routine reading data of establishment, the common finite element software module has comprised distribution that the required full detail of vehicle structure modeling comprises degree of freedom, car body, bogie, wheel to quality, rigidity, damping, elastic modulus and the scantling parameter of the quality of, primary spring, secondary suspension system; Perhaps in coupling is found the solution, the common finite element module has comprised track structure, bridge structure and the required full detail of Toft foundation structure modeling, and track structure, bridge structure and the required information of foundation modeling comprise the distribution of degree of freedom and quality, rigidity, damping, elastic modulus and the scantling parameter of each minor structure; Perhaps in coupling is found the solution, interface and control program TRBF-DYNA complete the coupling of vehicle and track by MATLAB module and common finite element module, judgement wheel track relative position, determine the Wheel Rail Contact state, calculate wheel-rail interaction power, and vehicle-track of forming-bridge-foundation coupled system is carried out iterative, thereby obtains the dynamic response of system's each several part; Perhaps in coupling is found the solution, by wheel rail relation, auto model and track-bridge-foundation model coupling are formed Vehicle-bridge System-foundation coupled system kinetic equation, the mode that adopts implicit numerical integration and explicit numerical integration to combine in the MATLAB module is found the solution the coupled system kinetic equation.
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Cited By (37)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
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| CN112560138A (en) * | 2020-12-03 | 2021-03-26 | 华东交通大学 | Method and device for evaluating unevenness of track on bridge |
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| WO2022257461A1 (en) * | 2021-06-09 | 2022-12-15 | 哈尔滨工业大学 | Method and system for updating bridge model on basis of vehicle-bridge coupling force correction, storage medium, and device |
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-
2013
- 2013-04-01 CN CN201310111505.0A patent/CN103150458B/en not_active Expired - Fee Related
Non-Patent Citations (6)
| Title |
|---|
| 冯青松等: "高速铁路路基-地基系统振动响应分析", 《铁道科学与工程学报》 * |
| 和振兴: "板式无砟轨道交通引起的环境振动研究", 《中国博士学位论文全文数据库（电子期刊）.工程科技II辑》 * |
| 张媛: "车辆一轨道一桥梁系统的空间耦合振动及其环境振动", 《中国博士学位论文全文数据库（电子期刊）.工程科技II辑》 * |
| 张媛: "车辆一轨道一桥梁系统的空间耦合振动及其环境振动", 《中国博士学位论文全文数据库（电子期刊）.工程科技II辑》, vol. 2009, no. 04, 30 April 2009 (2009-04-30), pages 034 - 6 * |
| 李小珍等: "考虑桩一土相互作用的连续刚构桥车桥耦合振动分析", 《振动与冲击》 * |
| 河南省基础教育教学研究室，河南科学技术出版社组编: "《技术与设计 通用技术 高中一年级.必修2 下》", 31 December 2005 * |
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