Responses of SDOF Structures With SPIS-<b>Ⅱ</b> Dampers Under Random Seismic Excitation

LI Chuangdi; JIANG Lifu; WANG Ruibo; GE Xinguang

doi:10.21656/1000-0887.430166

Volume 44 Issue 3

Mar. 2023

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Article Navigation > Applied Mathematics and Mechanics > 2023 > 44(3): 260-271

LI Chuangdi, JIANG Lifu, WANG Ruibo, GE Xinguang. Responses of SDOF Structures With SPIS-Ⅱ Dampers Under Random Seismic Excitation[J]. Applied Mathematics and Mechanics, 2023, 44(3): 260-271. doi: 10.21656/1000-0887.430166

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Responses of SDOF Structures With SPIS-Ⅱ Dampers Under Random Seismic Excitation

doi: 10.21656/1000-0887.430166

1.
School of Civil and Architectural Engineering, Guangxi University of Science and Technology, Liuzhou, Guangxi 545006, P.R.China
2.
Collge of Civil and Architectural Engineering, Liuzhou Institute of Technology, Liuzhou, Guangxi 545616, P.R.China

Received Date: 2022-05-17
Rev Recd Date: 2022-06-28

Available Online: 2023-03-22

Publish Date: 2023-03-15

Abstract

Abstract

A closed-form solution of responses of SDOF structures with SPIS-Ⅱ dampers under seismic excitation modeled with the Clough-Pezien spectrum was proposed, and the shock absorption performance and influential factors of this system were studied based on the proposed method. Firstly, the motion equation for the SPIS-Ⅱ damper was established, and the unified expressions of frequency domain solutions of structural responses, such as the structural displacement and the inerter force, were obtained. Secondly, based on the rational expression decomposition and the residue theorem, the quadratic orthogonal equations of the frequency response eigenvalue function and the Clough-Pezien spectrum were obtained respectively, and in turn the quadratic orthogonal equation of the structural response power spectrum was deduced. Thirdly, the concise closed-form solutions of the 0~2nd-order spectral moments of the structural responses were acquired. The proposed method and the virtual excitation method were used to analyze a case respectively, which verifies the correctness of the proposed method. Finally, the proposed method was used to analyze the effects of the inerter parameters on the seismic performances of the structure. The research shows that, the proposed method gives closed-form solutions better than those given by the virtual excitation method in terms of computation efficiency and accuracy. The damping performance will improve with the increase of μ_m and μ_ξ for a constant μ_ω and the damping performance will reach the optimum for μ_ω=1.
- inerter,
- Clough-Penzien spectrum,
- quadratic orthogonalization,
- spectral moment,
- closed-form solution

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References

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