铁道科学与工程学报2024，Vol.21Issue(2)：669-680,12.DOI:10.19713/j.cnki.43-1423/u.T20230440
基于直接概率积分法的列车-轨道-桥梁系统随机分析
Stochastic analysis of vehicle-track-bridge system based on direct probability integral method
摘要
Abstract
The structural parameters of railway engineering structures inherently exhibit randomness due to construction and manufacturing processes.Additionally,the track irregularity,as the primary self-excitation source in the system,demonstrates apparent randomness and time-varying characteristics.Therefore,it is important to investigate the impact of uncertain factors on the dynamic performance of train and track-bridge structures.To efficiently fulfill the stochastic performance analysis of system,a three-dimensional train-track-bridge vibration model was established in this paper.The track irregularity probability model and spectral representation-stochastic function method were employed to efficiently achieve the simulation of track irregularity in the finite random variable space.The probability density integral equation(PDIE)and direct probability integration method(DPIM)were introduced to develop the stochastic dynamic equation of the train-track-bridge system and the corresponding calculation and solution strategy.The direct probability integration method analysis program of stochastic vibration for the train-track-bridge was compiled in MATLAB,and then the mean value,standard deviation and time-varying probability density of system responses subjected to the full-probability irregularity excitation and random parameter were obtained.The results indicate that the direct probability integration method can also better reflect the probability characteristics of the system response compared with the probability density evolution analysis method,and moreover,the DPIM is more efficient in random post-processing of the system response,and its efficiency can be improved by 1～2 orders of magnitude.In addition,considering the full probability excitation of track irregularity,which more accurately reflect the probabilistic characteristics of the system response,the average spectrum makes the calculation results conservative.The impact of speed on the dynamic behavior of train and bridge is significant,and the range of system response gradually increases as vehicle speed increases.The research results further expand the analysis method of the train-track-bridge stochastic systems,which could be employed for system state evaluation and design optimization effectively.关键词
直接概率积分法/列车-轨道-桥梁相互作用/随机分析/谱表达-随机函数法Key words
direct probability integral method/vehicle-track-bridge interaction/stochastic analysis/spectral representation-stochastic function method分类
交通工程引用本文复制引用
刘虎兵,宋力,徐磊,蒋丽忠,余志武..基于直接概率积分法的列车-轨道-桥梁系统随机分析[J].铁道科学与工程学报,2024,21(2):669-680,12.基金项目
国家自然科学基金资助项目(51778631,52078492,52008404,U1934217) （51778631,52078492,52008404,U1934217）
中南大学中央高校基本科研业务费专项资金资助项目(2023ZZTS0377) （2023ZZTS0377）
中国科协青年人才托举工程项目(2020-2022QNRC002) （2020-2022QNRC002）
中国中铁重大专项(2020-Special-02,2021-Special-04-2) （2020-Special-02,2021-Special-04-2）
