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Stochastic seismic analysis of base-isolated structures with electromagnetic inertial mass dampers considering different soil conditions

  • S.I. : Advances on Inerter-based Seismic Protection of Structures
  • Published:
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Abstract

An electromagnetic inertial mass damper (EIMD) is an inerter-based damper that can significantly enhance the seismic performance of a frame structure. However, the stochastic seismic analysis of a base-isolated structure (BIS) with the EIMD subjected to earthquake ground motions has rarely been reported. Based on a probabilistic framework, this paper studies the stochastic seismic responses of the BIS with the EIMD subjected to seismic excitations considering three typical soil conditions. The analytical solutions of the response variances of a two-degree-of-freedom (2DOF) BIS-EIMD system are derived considering both stationary and non-stationary seismic excitations. A parametric study on the BIS-EIMD system subjected to stochastic seismic excitations modeled by filtered Kanai-Tajimi spectrum is conducted to investigate the different seismic responses under firm, medium, and soft soil conditions, and the corresponding optimal inertance and damping of the EIMD are obtained by minimizing the stochastic seismic responses of the superstructure or the base floor. The results of the 2DOF BIS-EIMD system indicate that the optimal EIMD achieves comparable control performance under the three soil conditions, but the optimal parameters of the EIMD vary significantly under different soil conditions. Under soft soil conditions, the BIS-EIMD system requires a much larger inertance setting compared with that of the firm and medium soil conditions. A numerical simulation of a seven-story isolated building with an EIMD is conducted considering both artificial seismic excitations and real earthquake ground motions. Numerical results show that the EIMD is capable of significantly suppressing the seismic responses of both the base floor and the superstructure, which is better than that of a conventional viscous damper.

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Acknowledgements

This work was supported by grants from the National Natural Science Foundation of China (Grant No.: 51838006), and the Fundamental Research Funds for the Central Universities (Grant No.: HUST_ 2018KFYYX JJ007). The last author also acknowledges the partial support from the Research Grants Council of Hong Kong (Grant Nos. PolyU 15214620 and N_PolyU533/17). We also appreciate the Pacific Earthquake Engineering Research Center for providing the earthquake ground motion records.

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Authors and Affiliations

  1. School of Civil and Hydraulic Engineering, Huazhong University of Science and Technology, Wuhan, 430074, China

    Heng Wang, Wenai Shen & Hongping Zhu

  2. Hubei Key Laboratory of Control Structure, Huazhong University of Science and Technology, Wuhan, 430074, China

    Wenai Shen & Hongping Zhu

  3. Department of Building Engineering, Wuhan University of Technology, Wuhan, 430070, China

    Fan Kong

  4. Department of Civil and Environmental Engineering, The Hong Kong Polytechnic University, Kowloon, Hong Kong, China

    Songye Zhu

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  1. Heng Wang
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  2. Wenai Shen
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  3. Hongping Zhu
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  4. Fan Kong
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  5. Songye Zhu
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Correspondence to Wenai Shen.

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Wang, H., Shen, W., Zhu, H. et al. Stochastic seismic analysis of base-isolated structures with electromagnetic inertial mass dampers considering different soil conditions. Bull Earthquake Eng 21, 1601–1626 (2023). https://doi.org/10.1007/s10518-021-01231-9

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  • DOI: https://doi.org/10.1007/s10518-021-01231-9

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