一种用于高速列车动态车辆-轨道-结构相互作用分析的算法
An algorithm for dynamic vehicle-track-structure interaction analysis for high-speed trains
AI总结：
本文提出一种适用于高速列车过桥的动态车辆-轨道-结构相互作用（VTSI）分析算法，通过运动学约束耦合桥梁与列车模型，并采用三次B样条插值和改进时间积分方案消除接触力虚假振荡，同时将接触分离表述为线性互补问题（LCP），主要贡献在于识别并解决了时变运动学约束的计算问题。
摘要：
本研究旨在开发一种稳健且易于实现的动态车辆-轨道-结构相互作用（VTSI）分析算法，适用于列车通过桥梁的场景。该算法能够在现有的桥梁分析软件中以最少的代码修改轻松实现。它基于分别对桥梁和列车进行建模，并通过运动学约束将它们耦合在一起。在这种方法中，车轮与轨道之间的接触力成为拉格朗日乘子。直接实现这种方法会导致接触力中出现虚假振荡。为了减轻这些虚假振荡，提出了两种方法：(a) 对运动学约束在时间上进行三次B样条插值；(b) 采用Bathe最初开发的替代时间积分方案的改编版本。使用通用的微分代数方程（DAE）求解器对该算法得到的解进行了验证。由于列车高速行驶和可能的轨道不平顺，车轮可能会瞬间失去与轨道的接触。这种接触分离被表述为线性互补问题（LCP）。采用这种表述，在分析中包含接触分离相当于将调用线性方程求解器替换为调用LCP求解器，这仅修改了该过程的两个步骤。本文的重点是VTSI分析的计算过程。本文的主要贡献在于识别与随时间变化的运动学约束相关的计算问题，明确其成因并开发相应的补救措施。
英文摘要：
The objective of the present work is to develop a robust, yet simple-to-implement algorithm for dynamic vehicle-track-structure-interaction (VTSI) analysis, applicable to trains passing over bridges. The algorithm can be readily implemented in existing bridge analysis software with minimal code modifications. It is based on modeling the bridge and train separately, and coupling them together by means of kinematic constraints. The contact forces between the wheels and the track become Lagrange multipliers in this approach. A direct implementation of such an approach results in spurious oscillations in the contact forces. Two approaches are presented to mitigate these spurious oscillations - (a) a cubic B-spline interpolation of the kinematic constraints in time, and (b) an adaptation of an alternate time-integration scheme originally developed by Bathe. Solutions obtained using this algorithm are verified using a generic differential algebraic equation (DAE) solver. Due to high train speeds and possible track irregularities, wheels can momentarily lose contact with the track. This contact separation is formulated as a Linear Complementarity Problem (LCP). With this formulation, including contact separation in the analysis amounts to replacing a call to a linear equation solver by a call to an LCP solver, a modification of only two steps of the procedure. The focus of this paper is on the computational procedure of VTSI analysis. The main contribution of this paper is recognizing computational issues associated with time-varying kinematic constraints, clearly identifying their cause and developing remedies.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
