Abstract

A model for dynamic analysis of the vehicle-track nonlinear coupling system is established by the finite element method. The whole system is divided into two subsystems: the vehicle subsystem and the track subsystem. Coupling of the two subsystems is achieved by equilibrium conditions for wheel-to-rail nonlinear contact forces and geometrical compatibility conditions. To solve the nonlinear dynamics equations for the vehicle-track coupling system, a cross iteration algorithm and a relaxation technique are presented. Examples of vibration analysis of the vehicle and slab track coupling system induced by China’s high speed train CRH3 are given. In the computation, the influences of linear and nonlinear wheel-to-rail contact models and different train speeds are considered. It is found that the cross iteration algorithm and the relaxation technique have the following advantages: simple programming; fast convergence; shorter computation time; and greater accuracy. The analyzed dynamic responses for the vehicle and the track with the wheel-to-rail linear contact model are greater than those with the wheel-to-rail nonlinear contact model, where the increasing range of the displacement and the acceleration is about 10%, and the increasing range of the wheel-to-rail contact force is less than 5%.

Highlights

  • Since the opening of the world’s first high speed railway in 1964, high speed railway has shown strong competitiveness amongst other modes of transport

  • In order to verify the correctness of the cross iteration algorithm for the model and the method proposed in this paper to calculate the example in literature [6], analysis of dynamic response for vehicle and track is carried out, where China’s high speed train CRH3 with the speed of 200 km/h and the CRTS II ballastless slab track are considered

  • A model for dynamic analysis of the vehicle-track nonlinear coupling system is established by finite element method

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Summary

Introduction

Since the opening of the world’s first high speed railway in 1964 (with its advantages of high speed and convenience, safety and comfort, environmental-friendliness and low energy consumption, larger carrying capacity, and the availability of all-day transportation), high speed railway has shown strong competitiveness amongst other modes of transport. The development of a mathematical model and the simulation technique for analysis of the dynamic behavior of ballastless slab track will be helpful to achieve improved component design and maintenance schedules These models are used to understand the interactions of the track and vehicle components and to measure the vibration characteristics of the track structure. Xiang et al established a dynamic analysis model of the lateral finite strip and slab segment element based on the structural characteristics of the ballastless track, such as the Bogl slab track [6] Both the motor car and trailers of the high speed train were modeled as a multibody system with two suspensions. The example of vehicle and track vibration induced by China high speed train CRH3 moving on the slab track is given, in which the influences of the linear and nonlinear wheel-to-rail contact model and the different train speeds are considered. The results demonstrate that the cross iteration algorithm has the advantages of simple programming, fast convergence rate, less computation time and high accuracy

Fundamental Assumptions
Vehicle Subsystem
CRTS II Slab Track Subsystem
Cross Iteration Algorithm
Verification
Findings
Conclusions
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