CN103150458B - Vehicle-track-bridge-foundation coupled system and method for dynamic analysis thereof - Google Patents
Vehicle-track-bridge-foundation coupled system and method for dynamic analysis thereof Download PDFInfo
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Abstract
Vehicle-track-bridge-foundation coupled system; pre-processing module is realized by MATLAB vehicle structure module and MATLAB track irregularity sample curve module; track-bridge-foundation module is to realize based on common finite element software, and 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 that solves is realized 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 track dynamic contact model; Described post-processing module is stored by MATLAB calculated data and pattern process module is realized, and forms vehicle-track-bridge-foundation coupled system.
Description
Technical field
The present invention relates to a kind of method of dynamic analysis of the vehicle-track-bridge-foundation coupled system based on vehicle-track-bridge-foundation Space Coupling model, 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, for meeting the requirement of travel safety and riding comfort, higher to the rigidity requirement of structure under track ride comfort and rail in relevant design specification; Simultaneously from the viewpoint of environmental protection, save soil, Site Soil condition, landform etc., the country of China, France, Germany and the high-speed rail transportation prosperity such as Japanese often in Line for Passenger Transportation and high-speed railway circuit a large amount of employing overpass as the substructures 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 taking China are example, and bridge average proportion in whole circuit mileage is 73%, and part section is up to more than 87%. Than traditional roadbed track, because bridge structure has higher rigidity, aspect the control of circuit smooth degree, settlement Control, there iing higher advantage, so in researching and analysing in the past, be mostly to adopt vehicle-track-bridge coupled system to carry out kinematic analysis. This analytical method 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 method of can yet be regarded as. But for passing through the bridge structure of deep soft layer, Site Soil often belongs to III class or IV class Site Soil, ground ground cannot meet rigid assumption to the constraint of bridge pier, need to consider the impact of flexibility of foundation on superstructure dynamic response, the kinematic analysis that therefore needs to set up vehicle-track-bridge-foundation coupled system.
In the research of vehicle-track-bridge-foundation coupled vibrations, owing to should considering complicated wheel-rail contact relationship, can reflect again the vibration characteristics of vehicle, track, bridge, foundation, tradition research only limits to car-line-bridge coupled system vibration research, and be limited to internal memory and the computational efficiency problem that cannot overcome, track, bridge structure have all been carried out to more simplification. As common dynamics of vehicle soft sim PACK, NUCARS etc., can easily realize the multi-body dynamics modeling of vehicle structure, and carry Wheel Rail Contact module, but be difficult to meticulously track switch and bridge be simulated. And current common finite element software for calculation is as ANSYS, MARC, the softwares such as DYNIA, carry out careful finite element modelling although be good to the structure such as track and bridge, but be difficult to carry out the rigid multibody dynamics modeling of vehicle structure simultaneously, and cannot directly simulate wheel-rail contact relationship. Although self-editing dedicated computing program can realize the hybrid modeling of many bodies and finite element, unit kind is limited, be difficult to structural detail to simulate, and often modeling work is heavy. Along with the fast development of China Express Railway, for accurately, reliably, rapidly vehicle-track-bridge-foundation coupled system is carried out to dynamics assessment, require a kind of easy and simple to handle, careful complete, rapidly and efficiently, can accurately reflect modeling and the analytical method of coupled system dynamics.
Therefore, study a kind of novel a kind of vehicle-track-bridge-foundation coupled system and method for dynamic analysis thereof and become technical problem urgently to be resolved hurrily.
Summary of the invention
The defect existing for prior art, the object of the invention is to propose a kind of vehicle-track-bridge-foundation coupled system, based on MATLAB software, (MATLAB is the business mathematics software that MathWorks company of the U.S. produces, for advanced techniques computational language and the interactive environment of algorithm development, data visualization, data analysis and numerical computations, 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 feature of self-compiling program and business software, utilize MATLAB self-compiling program module to complete the Dynamic Contact simulation between modeling and the wheel track of vehicle structure, utilizing common finite element software module (can be Marc module, LS-DYNA module, ANSYS module etc.) complete track structure, dynamic interaction between modeling and the track-bridge of bridge structure and foundation and the simulation of the dynamic interaction between bridge-foundation, the interface of recycling independent development and control program TRBF-DYNA realize the connection of MATLAB module and ANSYS module, sytem matrix assembling, data storage is controlled, Parallel coupled solution technique and iterative technique control 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, the non-linear dynamic shock problem such as high velocity impact, blast and metal forming that is particularly suitable for solving various two dimensions, three dimensional non-linear structure, can solve the solid coupled problem of heat transfer, fluid and stream simultaneously. be widely recognized as best analysis software package in engineering application. confirm 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 the control software based on developing on matlab platform, is a control module, 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 vehicle structure model, track structure model, bridge structural model, foundation model, wheel track dynamic contact model between wheel and rails, soil-structure dynamic interaction model between line bridge dynamic interaction model and bridge and ground between track and bridge, TRBF-DYNA control module control pre-processing module, solve 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 to realize based on common finite element software, track-bridge-foundation module includes track structure model, line bridge dynamic interaction model, bridge structural model, soil-structure dynamic interaction model and foundation model, solve 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 are realized, MATLAB wheel track Dynamic Contact computing module is simulated by track dynamic contact model, post-processing module is stored by MATLAB calculated data and pattern process module is realized, form vehicle-track-bridge-foundation coupled system.
Preferably, MATLAB pre-processing module is mainly used to build dynamics of vehicle equation and according to the track spectrum generator orbital irregularity sample point of input; Common finite element module builds track-bridge-foundation FEM model according to orbit parameter, line bridge dynamic interaction model, bridge structure parameter, soil-structure dynamic interaction model and foundation parameter, and derives FEM model quality, rigidity, damping and boundary condition parameter.
Preferably, MATLAB wheel rail force computing module is mainly according to the contact force at Wheel Rail Contact state computation Wheel/Rail Contact Point place and contact movement state; First MATLAB Vehicular system Cable Power Computation module reads wheel-rail contact force and contact movement state, and using it as external force with Boundary Condition for Solving Vehicular system kinetic equation; First MATLAB track-bridge-foundation system dynamic computing module reads wheel-rail contact force and contact movement state, and using it as external force with Boundary Condition for Solving track-bridge-foundation governing equations of motion.
Preferably, the storage of MATLAB calculated data and pattern process module are used for showing after the real-time animation of vehicle real-time animation in computational process, Wheel Rail Contact state, track-bridge-foundation system and calculating complete vehicle-track-bridge-foundation coupled system kinematic analysis data are stored, and show Dynamic time history curve.
Preferably, vehicle structure model adopts the multiple degrees of freedom vehicle structure model of dynamics of rigid bodies modeling, or adopts the multiple degrees of freedom FEM model of considering the each parts flexibility of car body; Track structure model is Ballast track model or non-fragment orbit model, and wherein rail adopts 50kg rail, the 60kg rail of standard, or 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, armored concrete suspension bridge model, Reinforced Concrete Cable-Stayed Bridge model, steel case simply supported beam model, steel case arch bridge model, steel case suspension bridge model or steel case Cable-stayed Bridge Model; Foundation model adopts pile foundation-soil model or natural foundation-soil model; The Multi-contact model that wheel track dynamic contact model adopts the closing contact model of not considering wheel track and separating, the single-point contact model of considering wheel track separation or consideration wheel track to separate; Vehicle structure model and described wheel track dynamic contact model adopt 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 solves.
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: vehicle structure modeling: utilize MATLAB module to complete the modeling of vehicle structure, after solving, obtain car body acceleration, wheel-rail force, derailment coefficients and four kinds of crucial dynamics indexs of rate of wheel load reduction; Track irregularity sample curve: utilize MATLAB module to complete 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 solving; 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 solving; 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 solving; Coupling solves: 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 the corresponding interface and control program TRBF-DYNA module to realize connection, sytem matrix assembling, data storage control, Parallel coupled solution technique and the iterative technique control solving precision of MATLAB module and common finite element module.
Preferably, in vehicle structure modeling, vehicle adopts dynamics of rigid bodies modeling, by 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 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 complexity of institute's problem analysis, vehicle can be ignored wherein some free degree, forms the vehicle analysis model of simplifying.
Preferably, in vehicle structure modeling, car body to vehicle, bogie, wheel are to adopting actual 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 plate Modelon Modeling.
Preferably, in track irregularity sample curve, the analog orbit irregularity sample curve generating according to track spectrum, or user is according to the sample curve of actual measurement input.
Preferably, in track structure modeling, rail adopts spatial beam to carry out modeling by actual cross-section attribute; Fastener adopts spring-damping unit to carry out modeling; Rubber tie plate under rail adopts spring damping Modelon Modeling; For Ballast track, sleeper adopts spatial beam simulation, and railway roadbed adopts the simulation of Winkler ground; For non-fragment orbit, track plates adopts spatial plate unit simulation, and track plates lower support adopts the simulation of spring-damping unit.
Preferably, in bridge structure modeling, according to the mechanical characteristic of bridge structure, bridge structure is carried out to 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 foundation modeling, pile foundation adopts spatial beam simulation, and the soil body adopts 3D solid unit simulation.
Preferably, in foundation modeling, according to the dynamic impedance of 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 ignore foundation dynamic impedance, rigid constraint is implemented in bridge pier bottom.
Preferably, during coupling solves, the dynamic interaction between track and bridge refers to according to different types of attachment determines corresponding rigidity and damping parameter, simulates by spring-damping unit.
Preferably, in coupling solves, 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 Wheel/Rail Contact Geometric, adopt full-sized search method to determine wheel track tread contact point, thereby meet the requirement of dynamic Wheel Rail Contact complexity.
Preferably, in coupling solves, sytem matrix is assembled into Vehicular system matrix assembly or track-bridge-foundation system assembles; Vehicular system assembling is first according to rigidity and the damped coefficient of determining each free degree of vehicle, and then adopt the rule of sitting in the right seat to assemble the stiffness matrix of every joint car according to elastic potential energy principle, and then according to the position of every joint car in Vehicular system, composition Vehicular system matrix.
Preferably, in described coupling solves, data storage is controlled and is referred to according to the model complexity of the memory size of computer and vehicle-track-bridge-foundation coupled system, select to import and complete matrix storage mode with complete matrix, or select to import and sparse matrix storage mode with complete matrix, or select to import and sparse matrix storage with sparse matrix; Can, according to the needs of be concerned about problem, result of calculation all be stored, also can selection portion divided data store.
Preferably, in coupling solves, Parallel coupled solution technique refers to and utilizes concurrent technique, in each step computational process, wheel track Dynamic Contact is calculated to mean allocation and carries out parallel computation to each kernel of computer CPU, improves computational efficiency.
Preferably, in coupling solves, iterative technique control solving precision refers to the convergence criterion by setting displacement and power, after each step has been calculated, whether displacement between comparison Vehicular system and track-bridge-foundation coupled system, wheel-rail force meet convergence criterion determines whether to finish the coupling calculating that current calculating walks.
Preferably, in coupling solves, auto model based on dynamics of rigid bodies is all generated by MATLAB module, 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 the vehicle structure free degree 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 Marc module by common finite element software module, LS-DYNA module, ANSYS module etc.) generate and derive mass matrix, stiffness matrix, damping matrix data, by the MATLAB interface routine reading data of working out, common finite element software module (can be Marc module, LS-DYNA module, ANSYS module etc.) comprise the distribution that the required full detail of vehicle structure modeling comprises the free degree, car body, bogie, it is right to take turns, the quality of primary spring, the quality of secondary suspension system, rigidity, damping, elastic modelling quantity and scantling parameter.
Preferably, in coupling solves, 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 the free degree and the quality of each minor structure, rigidity, damping, elastic modelling quantity and scantling parameter.
Preferably, in coupling solves, interface and control program TRBF-DYNA complete the coupling of vehicle and track by MATLAB module and common finite element module, judge wheel track relative position, determine Wheel Rail Contact state, calculate wheel-rail interaction power, and formed vehicle-track-bridge-foundation coupled system is carried out to iterative, thereby obtain the dynamic response of system each several part.
Preferably, in coupling solves, by wheel rail relation, auto model and the coupling of track-bridge-foundation model are formed to Vehicle-bridge System-foundation coupled system kinetic equation, the mode that adopts implicit numerical integration and explicit numerical integration to combine in MATLAB module solves 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, based on MATLAB software, (MATLAB is the business mathematics software that MathWorks company of the U.S. produces, for advanced techniques computational language and the interactive environment of algorithm development, data visualization, data analysis and numerical computations, 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 feature of self-compiling program and business software, utilize MATLAB self-compiling program module to complete the Dynamic Contact simulation between modeling and the wheel track of vehicle structure, utilizing common finite element software module (can be Marc module, LS-DYNA module, ANSYS module etc.) complete track structure, dynamic interaction between modeling and the track-bridge of bridge structure and foundation and the simulation of the dynamic interaction between bridge-foundation, the interface of recycling independent development and control program TRBF-DYNA realize the connection of MATLAB module and ANSYS module, sytem matrix assembling, data storage is controlled, Parallel coupled solution technique and iterative technique control solving precision.
2, the invention provides one vehicle-track-bridge accurately and effectively-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, complete the modeling to track structure, bridge structure and foundation by virtual condition again as far as possible, fully ensured the careful, complete, accurate of model, relatively traditional modeling method has obvious improvement. Modeling method according to the present invention is by self-compiling program, the ingenious combination of both modeling means of business software, can bring into play the advantage that self-compiling program modeling is comparatively flexible, be easy to expansion and redevelopment, can give full play to again that common finite element is careful on structural modeling, feature quickly and accurately, extremely be convenient to the modeling analysis of vehicle-track-bridge-foundation Fourier Series expansion technique, there is very high theory value and business promotion prospect.
Brief description of the drawings
The structural representation of Fig. 1 vehicle-track-bridge-foundation coupled system.
The structural representation of Fig. 2 vehicle-track-bridge accurately and effectively-foundation coupled system method of dynamic analysis.
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 lateral displacement diagram.
Figure 13 motor-car forecarriage vertical displacement diagram.
Figure 14 motor-car trailing bogie lateral displacement diagram.
Figure 15 motor-car trailing bogie vertical displacement diagram.
Figure 16 motor-car first round illustrates lateral 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 cross force.
Figure 21 motor-car first round illustrates left rail vertical force.
Figure 22 motor-car first round illustrates right rail cross force.
Figure 23 motor-car first round illustrates right rail vertical force.
Figure 24 trailer first round illustrates left rail cross force.
Figure 25 trailer first round illustrates left rail vertical force.
Figure 26 trailer first round illustrates right rail cross force.
Figure 27 trailer first round illustrates right rail vertical force.
Figure 28 rail vertical motion displacement diagram.
Figure 29 rail oscillation crosswise displacement diagram.
Figure 30 rail vertical motion acceleration diagram.
Figure 31 rail oscillation crosswise acceleration diagram.
Node vertical motion displacement diagram in Figure 32 bridge span.
Node oscillation crosswise displacement diagram in Figure 33 bridge span.
Node vertical motion acceleration diagram in Figure 34 bridge span.
Node oscillation crosswise acceleration diagram in Figure 35 bridge span.
Figure 36 pier top vertical motion acceleration diagram.
Figure 37 pier top oscillation crosswise acceleration diagram.
Figure 38 basis vertical motion acceleration diagram.
Figure 39 Base Vibration acceleration diagram.
Detailed description of the invention
Below in conjunction with specific embodiment, with reference to accompanying drawing, the present invention will be further described.
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 vehicle structure model, track structure model, bridge structural model, foundation model, wheel track dynamic contact model between wheel and rails, soil-structure dynamic interaction model between line bridge dynamic interaction model and bridge and ground between track and bridge, TRBF-DYNA control module control pre-processing module, solve 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 to realize based on common finite element software, track-bridge-foundation module includes track structure model, line bridge dynamic interaction model, bridge structural model, soil-structure dynamic interaction model and foundation model, solve 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 are realized, MATLAB wheel track Dynamic Contact computing module is simulated by track dynamic contact model, post-processing module is stored by MATLAB calculated 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-bridge accurately and effectively-foundation of embodiment of the present invention coupled system method of dynamic analysis.
The present embodiment with train taking 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 ICE3 vehicle parameter, and wherein 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 simply supported beam, and beam body adopts C50 concrete. Adopt nose circle shape solid pier, the high 15m of pier. Foundation soil body shear wave velocity is 350m/s. Consider vertical and cross track irregularity, according to the low disturbance spectrum of Germany, adopt trigonometric series method to generate vertical and cross track irregularity sample point. Carry out the modeling of vehicle-track-bridge-foundation coupled system according to the present invention, process as shown in Figure 1.
In vehicle structure modeling, for the sink-float of car body and trailing or leading bogie, nod, traversing, sidewinder and yaw motion feature, and each take turns right sink-float, traversing, sidewinder the simulation of carrying out whole vehicle model with yaw motion feature;
In track structural modeling, rail adopts spatial beam to carry out modeling by actual cross-section attribute; Fastener adopts spring-damping unit to carry out modeling; Rubber tie plate under rail adopts spring damping Modelon Modeling; Fragment-free track slab adopts spatial plate unit simulation, and track plates lower support adopts the simulation of spring-damping unit.
In bridge structure modeling, according to the mechanical characteristic of bridge structure, bridge structure is carried out to Rational Simplification, adopt variable cross-section spatial beam simulation bridge structure.
In foundation modeling, can be according to the dynamic impedance of foundation, adopt the spring-dampers constraint of ground foundation simulation basis to bridge pier bottom in bridge structure respectively, comprising: horizontal power impedance, vertical dynamic impedance and rotational power impedance.
Can obtain the dynamic response such as vibration acceleration, moving displacement of vehicle, track structure, bridge and foundation each several part according to the method for the present embodiment; Can obtain the dynamic responses such as the vertical active 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 is as shown in Fig. 3 to 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, bogie by framework and wheel to forming, opinion to lower and Wheel Rail Contact, between car body and framework, be primary suspension, between framework and wheel track, be secondary suspension. 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 lateral displacement diagram. Figure 13 is motor-car forecarriage vertical displacement diagram. Figure 14 is motor-car trailing bogie lateral displacement diagram. Figure 15 is motor-car trailing bogie vertical displacement diagram. Figure 16 illustrates lateral 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 cross force the motor-car first round. Figure 21 illustrates left rail vertical force the motor-car first round. Figure 22 illustrates right rail cross force the motor-car first round. Figure 23 illustrates right rail vertical force the motor-car first round. Figure 24 illustrates left rail cross force the trailer first round. Figure 25 illustrates left rail vertical force the trailer first round. Figure 26 illustrates right rail cross 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 oscillation crosswise displacement diagram. Figure 30 is rail vertical motion acceleration diagram. Figure 31 is rail oscillation crosswise acceleration diagram. Figure 32 is node vertical motion displacement diagram in bridge span. Figure 33 is node oscillation crosswise displacement diagram in bridge span. Figure 34 is node vertical motion acceleration diagram in bridge span. Figure 35 is node oscillation crosswise acceleration diagram in bridge span. Figure 36 is pier top vertical motion acceleration diagram. Figure 37 is pier top oscillation crosswise acceleration diagram. Figure 38 is basic vertical motion acceleration diagram. Figure 39 is Base Vibration acceleration diagram.
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.
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Families Citing this family (39)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
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| CN110334371A (en) * | 2019-04-18 | 2019-10-15 | 朱思宇 | A kind of Train-bridge coupling system vibration calculation method based on finite element model |
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| CN111694361B (en) * | 2020-06-23 | 2023-05-30 | 杭州宇芯机器人科技有限公司 | Steel structure flexible flaw detection robot track tracking method based on improved approach law sliding mode control |
| CN111968450B (en) * | 2020-10-26 | 2021-01-05 | 成都运达科技股份有限公司 | Dynamic control method, device and system for train driving simulator and storage medium |
| CN112373495B (en) * | 2020-11-19 | 2021-12-17 | 华东交通大学 | Method and system for controlling train derailment on railway bridge in extreme environment, terminal equipment and readable storage medium |
| CN112560138A (en) * | 2020-12-03 | 2021-03-26 | 华东交通大学 | Method and device for evaluating unevenness of track on bridge |
| CN113239449B (en) * | 2020-12-29 | 2022-07-01 | 西南交通大学 | Method for analyzing snaking motion of flexible bogie of railway vehicle |
| CN113065187B (en) * | 2021-04-06 | 2023-05-02 | 华东交通大学 | Post-earthquake high-speed rail continuous beam pier non-uniform deformation threshold value calculation method based on analytic mapping relation |
| CN113283160B (en) * | 2021-04-28 | 2023-12-05 | 北京交通大学 | Vibration prediction method for railway overhead line environment under influence of multiple random variables |
| CN113392451B (en) * | 2021-06-09 | 2022-05-17 | 哈尔滨工业大学 | Bridge model updating method, system, storage medium and equipment based on vehicle-bridge coupling acting force correction |
| CN113779692B (en) * | 2021-08-13 | 2024-06-04 | 北京交通大学 | Multi-software linkage simulation system and method for rigid-elastic vehicle track coupling |
| CN114201804A (en) * | 2021-12-16 | 2022-03-18 | 南京理工大学 | Axle coupling analysis method considering road surface irregularity based on ABAQUS platform |
| CN114417661B (en) * | 2021-12-31 | 2024-09-20 | 中南大学 | Dynamic response analysis method and system for train-track-foundation structure system |
| CN116451546B (en) * | 2023-06-14 | 2023-08-22 | 北京交通大学 | Method and system for constructing aircraft-bridge coupling model and model analysis method |
-
2013
- 2013-04-01 CN CN201310111505.0A patent/CN103150458B/en not_active Expired - Fee Related
Non-Patent Citations (4)
| Title |
|---|
| 板式无砟轨道交通引起的环境振动研究;和振兴;《中国博士学位论文全文数据库（电子期刊）.工程科技II辑》;20090630;第2009（年）卷(第06期);论文第3.2.1-3.2.2节 * |
| 考虑桩一土相互作用的连续刚构桥车桥耦合振动分析;李小珍等;《振动与冲击》;20111231;第30卷(第12期);文中第2页 * |
| 车辆一轨道一桥梁系统的空间耦合振动及其环境振动;张媛;《中国博士学位论文全文数据库（电子期刊）.工程科技II辑》;20090430;第2009（年）卷(第04期);论文第1.3.1、1.7、2.1-3.1、5.1-5.3节 * |
| 高速铁路路基-地基系统振动响应分析;冯青松等;《铁道科学与工程学报》;20100228;第7卷(第1期);全文 * |
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