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Resonance analysis of a high-speed railway bridge using a stochastic finite element method

Earthquake Engineering and Engineering Vibration 2023年第4期22卷 1015-1030页

作者： Xiang Ping Yan Weiran Jiang Lizhong Zhou Wangbao Wei Biao Liu Xiang Hunan International Scientific and Technological Innovation Cooperation Base of Advanced Construction and Maintenance Technology of Highway Changsha University of Science and TechnologyChangsha 410114China School of Civil Engineering Central South UniversityChangsha 410075China School of Civil Engineering Fujian University of TechnologyFuzhou 350118China

There is always some randomness in the material properties of a structure due to several circumstances and ignoring it increases the threat of inadequate structural safety reserves.A numerical approach is used in this study to consider the spatial variability of structural parameters.Statistical moments of the train and bridge responses were computed using the point estimation method(PEM),and the material characteristics of the bridge were set as random fields following Gaussian random distribution,which were discretized using Karhunen-Loève expansion(KLE).The following steps were carried out and the results are discussed herein.First,using the stochastic finite element method(SFEM),the mean value and standard deviation of dynamic responses of the train-bridge system(TBS)were examined.The effectiveness and accuracy of the computation were then confirmed by comparing the results to the Monte-Carlo simulation(MCS).Next,the influence of the train running speed,bridge vibration frequency,and span of the bridge on dynamic coefficient and dynamic response characteristics of resonance were discussed by using the SFEM.Finally,the lowest limit value of the vibration frequency of the simple supported bridges(SSB)with spans of 24 m,32 m,and 40 m are presented.

关键词： train-bridge system material randomness Karhunen-Loève expansion Gauss integral dynamic coefficient natural frequency

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