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An effective approach for simulating multi-support earthquake underground motions

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Abstract

An effective approach to simulate the multi-support earthquake underground motions is proposed in this paper and the key factor for this approach (i.e. underground cross-correlation function) is presented in advance and elaborated. Previous studies are mainly focused on the multi-support ground motions due to the absence of the necessary conditions to simulate underground motions, i.e., underground power spectral density (PSD), underground response spectrum and, especially, underground cross-correlation function. In this paper, the underground PSD and response spectrum are firstly derived and the cross-correlation function between the underground motions at positions with different horizontal and vertical coordinates is further deduced. The physical meanings of the parameters in this approach are explicitly clarified. Moreover, a program for generating the multi-support earthquake underground motions is developed and the reliability of the generated underground motions is verified. Finally, a two-span bridge is taken as an example to investigate structural responses under multi-support earthquake underground excitations. Numerical results show that the dynamic responses under multi-support earthquake underground motions are significantly different from those under multi-support earthquake ground motions. Results indicate that the simulation of multi-support earthquake underground motions is significant for both study and engineering application.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant Nos. 51408409 and 51579173) and the Tianjin Research Program of Application Foundation and Advanced Technology (Grant No. 15JCQNJC07400).

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Authors and Affiliations

  1. State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University, Tianjin, 300072, China

    Guohuan Liu, Jijian Lian & Chao Liang

  2. School of Civil Engineering, Tianjin University, Tianjin, 300072, China

    Guohuan Liu, Jijian Lian & Chao Liang

  3. Key Laboratory of Urban Security and Disaster Engineering of Ministry of Education, Beijing University of Technology, Beijing, 100124, China

    Mi Zhao

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  1. Guohuan Liu
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  2. Jijian Lian
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  3. Chao Liang
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Correspondence to Guohuan Liu or Chao Liang.

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Liu, G., Lian, J., Liang, C. et al. An effective approach for simulating multi-support earthquake underground motions. Bull Earthquake Eng 15, 4635–4659 (2017). https://doi.org/10.1007/s10518-017-0153-3

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  • DOI: https://doi.org/10.1007/s10518-017-0153-3

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