ABSTRACT

Vibration analysis of vehicle-bridge coupled systems has received considerable attentions over the past two decades. This work is dedicated to the stochastic dynamic analysis of vehicle-bridge coupled systems with nonlinear Hertz wheel-rail contacts subjected to random track irregularities. An explicit time-domain method (ETDM) is proposed for efficient nonlinear dynamic analysis of vehicle-bridge coupled systems with a dimension-reduced iteration scheme focusing on the nonlinear wheel-rail contact forces. The high-efficient ETDM is further utilised to implement the numerous nonlinear dynamic analyses required in the Monte-Carlo simulation (MCS) for obtaining the response statistics of the vehicle-bridge coupled systems. A numerical example involving a single-wheel vehicle traversing a simply-supported beam with nonlinear Hertz wheel-rail contacts considering random track irregularities is presented to demonstrate the computational accuracy and efficiency of the proposed method, and an engineering application involving a four-wheel vehicle moving across the Egongyan suspension bridge is further analysed to indicate the effectiveness of the proposed method for large-scale engineering problems.

摘要

在过去的二十年里，车桥耦合系统的振动分析受到了相当多的关注。这项工作致力于对具有非线性赫兹轮轨接触的车桥耦合系统进行随机动态分析，这些系统会受到随机轨道不规则性的影响。提出了一种显式时域方法 (ETDM)，用于车桥耦合系统的有效非线性动力学分析，该方法采用以非线性轮轨接触力为重点的降维迭代方案。高效的 ETDM 进一步用于实现蒙特卡罗模拟 (MCS) 中所需的大量非线性动态分析，以获得车桥耦合系统的响应统计数据。