Random vibration analysis of train-slab track-bridge coupling system under earthquakes

Zhi-ping Zeng, Xian-feng He, Yan-gang Zhao, Zhi-wu Yu, Ling-kun Chen, Wen-tao Xu and Ping Lou

Abstract

This study aimed to investigate the random vibration characteristic of train-slab track-bridge interaction system subjected to both track irregularities and earthquakes by use of pseudo-excitation method (PEM). Each vehicle subsystem was modeled by multibody dynamics. A three-dimensional rail-slabgirder-pier finite element model was created to simulate slab track and bridge subsystem. The equations of motion for the entire system were established based on the constraint condition of no jump between wheel and rail. The random load vectors of equations of motion were formulated by transforming track irregularities and seismic accelerations into a series of deterministic pseudo-excitations according to their respective power spectral density (PSD) functions by means of PEM. The time-dependent PSDs of random vibration responses of the system were obtained by step-by-step integration method, and the corresponding extreme values were estimated based on the first-passage failure criterion. As a case study, an ICE3 high-speed train passing a fifteen-span simply supported girder bridge simultaneously excited by track irregularities and earthquakes is presented. The evaluated extreme values and the PSD characteristic of the random vibration responses of bridge and train are analyzed, and the influences of train speed and track irregularities (without earthquakes) on the random vibration characteristic of bridge and train are discussed.

Key Words

train-slab track-bridge interaction; random vibration; pseudo-excitation method; earthquake; track irregularity

Address

Zhi-ping Zeng: School of Civil Engineering, Railway Campus, Central South University, 22 Shao-shan-nan Road, Changsha, Hunan 410075, China; Department of Architecture, Kanagawa University, 3-27-1 Rokkakubashi, Kanagawa-Ku, Yokohama-shi, Kanagawa, 221-8686, Japan; National Engineering Laboratory for High-Speed Railway Construction, Central South University, 22 Shao-shan-nan Road, Changsha, Hunan 410075, China Xian-feng He: School of Civil Engineering, Railway Campus, Central South University, 22 Shao-shan-nan Road, Changsha, Hunan 410075, China Yan-gang Zhao: School of Civil Engineering, Railway Campus, Central South University, 22 Shao-shan-nan Road, Changsha, Hunan 410075, China; Department of Architecture, Kanagawa University, 3-27-1 Rokkakubashi, Kanagawa-Ku, Yokohama-shi, Kanagawa, 221-8686, Japan Zhi-wu Yu: School of Civil Engineering, Railway Campus, Central South University, 22 Shao-shan-nan Road, Changsha, Hunan 410075, China; National Engineering Laboratory for High-Speed Railway Construction, Central South University, 22 Shao-shan-nan Road, Changsha, Hunan 410075, China Ling-kun Chen: National Engineering Laboratory for High-Speed Railway Construction, Central South University, 22 Shao-shan-nan Road, Changsha, Hunan 410075, China; College of civil science and technology, Yangzhou University, 88 Yang-zhou-da-xue-nan Road, Yangzhou, Jiangsu 225127, China Wen-tao Xu: National Engineering Laboratory for High-Speed Railway Construction, Central South University, 22 Shao-shan-nan Road, Changsha, Hunan 410075, China; School of Mechanics and Engineering Science, Zhengzhou University, 100 Ke-xue Road, Zhengzhou, Henan 450001, China Ping Lou: School of Civil Engineering, Railway Campus, Central South University, 22 Shao-shan-nan Road, Changsha, Hunan 410075, China; National Engineering Laboratory for High-Speed Railway Construction, Central South University, 22 Shao-shan-nan Road, Changsha, Hunan 410075, China

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