Study on the Responses and Damping Performances of Series-Parallel- Ⅱ Inerter Systems'Dissipation Damping Structures

LI Chuangdi; CHAI Yige; FAN Xinyu; WANG Ruibo; GE Xinguang

doi:10.21656/1000-0887.440325

Volume 46 Issue 2

Feb. 2025

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Article Navigation > Applied Mathematics and Mechanics > 2025 > 46(2): 208-222

LI Chuangdi, CHAI Yige, FAN Xinyu, WANG Ruibo, GE Xinguang. Study on the Responses and Damping Performances of Series-Parallel- Ⅱ Inerter Systems'Dissipation Damping Structures[J]. Applied Mathematics and Mechanics, 2025, 46(2): 208-222. doi: 10.21656/1000-0887.440325

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Study on the Responses and Damping Performances of Series-Parallel- Ⅱ Inerter Systems'Dissipation Damping Structures

doi: 10.21656/1000-0887.440325

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

Received Date: 2023-11-01
Rev Recd Date: 2024-10-11
Publish Date: 2025-02-01

Abstract

Abstract

Aimed at the complexity of the effects of the multi-degree-of-freedom series-parallel-Ⅱ inerter system (SPIS-Ⅱ) on the damping and reliability of structures, the dynamic responses of the energy dissipation structure were studied with the power spectrum quadratic decomposition method. The reconstructed equations of motion were decoupled with the complex modal method to obtain unified solution expressions in the frequency domain for the responses of structural displacements and velocities, structural inter-storey displacements and inter-storey velocities, inter-storey shear forces and inter-storey displacement angles. The analytical solutions of power spectrums and spectral moments of the above responses were obtained with the quadratic decomposition method for the power spectrum. With a 16-storey actual structure as an example, the correctness of the power spectrums and spectral moments was verified. Finally, based on the displacement standard deviation and the analytical solution of the spectral moments, the effects of the inertial system parameters on the structural damping were explored, and the dynamic reliability was analyzed. The results show that, the proposed SPIS-Ⅱ structure has good vibration damping effect and reliability.
- series-parallel-Ⅱ inerter system (SPIS-Ⅱ),
- stochastic seismic response,
- complex modal method,
- 0th~2nd order spectral moments,
- Clough-Penzien spectrum

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References(28)

References

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