Structural Engineering and Mechanics

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Adaptive compensation method for real-time hybrid simulation of train-bridge coupling system

  • Zhou, Hui M. (Engineering Seismic Research Center of Guangzhou University) ;
  • Zhang, Bo (Institute of Engineering Mechanics, China Earthquake Administration) ;
  • Shao, Xiao Y. (Western Michigan University) ;
  • Tian, Ying P. (Institute of Engineering Mechanics, China Earthquake Administration) ;
  • Guo, Wei (Central South University) ;
  • Gu, Quan (Xiamen University) ;
  • Wang, Tao (Institute of Engineering Mechanics, China Earthquake Administration)
  • Received : 2021.06.04
  • Accepted : 2022.04.28
  • Published : 2022.07.10
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Abstract

Real-time hybrid simulation (RTHS) was applied to investigate the train-bridge interaction of a high-speed railway system, where the railway bridge was selected as the numerical substructure, and the train was physically tested. The interaction between the two substructures was reproduced by a servo-hydraulic shaking table. To accurately reproduce the high-frequency interaction responses ranging from 10-25Hz using the hydraulic shaking table with an inherent delay of 6-50ms, an adaptive time series (ATS) compensation algorithm combined with the linear quadratic Gaussian (LQG) was proposed and implemented in the RTHS. Testing cases considering different train speeds, track irregularities, bridge girder cross-sections, and track settlements featuring a wide range of frequency contents were conducted. The performance of the proposed ATS+LQG delay compensation method was compared to the ATS method and RTHS without any compensation in terms of residual time delays and root mean square errors between commands and responses. The effectiveness of the ATS+LQG method to compensate time delay in RTHS with high-frequency responses was demonstrated and the proposed ATS+LQG method outperformed the ATS method in yielding more accurate responses with less residual time delays.

Keywords

Acknowledgement

The authors are grateful to Cheng Zeng and Yang Wang of Central South University and Jiliang Wu and Yuan Bin of Xiamen University for their help with the test. The authors are also grateful to Weixu Song and Qinming Feng of BBK Test Systems Co. Ltd for their work with the pulsar control system. This research is supported by the National Natural Science Foundation of China (51878630, 51678538), the Heilongjiang Provincial Natural Science Fund for Fine Youth Scholars (YQ2020E004), the Heilongjiang Provincial Natural Science Fund for Distinguished Young Scholars (JC2018018), Heilongjiang Touyan Innovation Team Program. Any opinions, findings, conclusions, or recommendations expressed in this paper are those of the authors, and do not necessarily reflect the views of the sponsors.

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