计算力学学报2025，Vol.42Issue(6)：928-935,8.DOI:10.7511/jslx20241009001
车-轨-桥耦合系统随机动力学高效分析的直接概率积分法
DPIM for uncertainty propagation analysis of train-track-bridge coupling stochastic system
摘要
Abstract
Trains running on bridges and track form a train-track-bridge coupling system,which is subject to the excitations of random sources excitation,such as track irregularities and extreme seismic ground motions,leading to the risk of train derailment.This study considers the multiple sources randomness from track irregularities and seismic ground motions,and proposes the direct probability integration method(DPIM)for highly efficient stochastic analysis of the train-track-bridge coupling system(TTBCS).Firstly,a three-dimensional stochastic dynamic model of TTBCS is established,and the randomness of track irregularities and near-fault random ground motions are quantified and characterized.Secondly,a probability density integral equation(PDIE)that describes the propagation of random uncertainty in the coupling system is derived based on the integral description of the principle of probability conservation.By combining the dynamic equations of the TTBCS with the PDIE,the efficient DPIM is then developed for stochastic dynamic response analysis of TTBCS.The derailment coefficient is taken as the evaluation criterion of train running safety,the limit state function of a train crossing a bridge is established,and the probabilistic safety evaluation of a train crossing a bridge is achieved.Finally,the accuracy and efficiency of the proposed method are demonstrated by numerical examples,revealing the nonlinear relationship between derailment probability and seismic intensity,and exploring the effect of velocity pulses of near-fault seismic on derailment probability of trains.关键词
车-轨-桥耦合系统/多源随机性/随机过程/动力可靠度/脱轨概率/直接概率积分法Key words
train-track-bridge coupling system/multi-source randomness/stochastic process/dynamic reliability/derailment probability/direct probability integral method分类
通用工业技术引用本文复制引用
BAO Yingjie,YAN Kaixiu,LIU xiang,CHEN Guohai,YANG Dixiong..车-轨-桥耦合系统随机动力学高效分析的直接概率积分法[J].计算力学学报,2025,42(6):928-935,8.基金项目
国家自然科学基金(12102080 （）
12032008) （）
中央高校基本科研业务费(DUT23RC(3)038)资助项目. （DUT23RC(3）
