Formulation of equations of spatial motion for vehicle-bridge system based on rigid contact of wheel and rail
Received:April 18, 2012  Revised:August 28, 2012
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DOI:10.7511/jslx201305008
KeyWord:train-bridge interaction  FEM method  spatial vibration  dynamic system  the wheel/rail creep theory  potential energy
        
AuthorInstitution
肖祥 武汉理工大学 交通工程学院, 武汉 ;中南大学 土木建筑学院, 长沙 ;中南大学 土木建筑学院 高速铁路建造技术国家工程实验室, 长沙
任伟新 中南大学 土木建筑学院, 长沙 ;中南大学 土木建筑学院 高速铁路建造技术国家工程实验室, 长沙
张谢东 武汉理工大学 交通工程学院, 武汉
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Abstract:
      Research of the train-bridge interaction system has important theoretical significance and practical value,and the key for analysis is formulating system motion equations.In this paper,the vehicle and bridge are taken as an integrated system,and the vehicle is modeled as a multi-rigid body connected by springs and dampers while the bridge by spatial beam elements.The wheel-rail creep forces are calculated by the Kalker linear and Shen-Hedrick-Elkins amendments creep theory.Then the spatial motion equations of vehicle-bridge interaction system are formulated according to the principle of total potential energy with a stationary value of elastic dynamics system and the "set-in-right-position" rule,which can be resolved by step-by-step integral method to obtain the dynamic responses directly.Several numerical examples are carried out to analysis the dynamic responses of the vehicle and bridge.