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Dynamic analysis and experiment of Quasi-zero-stiffness system with nonlinear hysteretic damping

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Abstract

Nonlinear Quasi-zero-stiffness (QZS) vibration isolation systems with linear damping cannot lead to displacement isolation with different excitation levels. In this study, a QZS system with nonlinear hysteretic damping is investigated. The Duffing-Ueda equation with a coupling nonlinear parameter \(\eta\) is proposed to describe the dynamic motion of the QZS system. By using the harmonic balance method (HBM), the primary and secondary harmonic responses are obtained and verified by numerical simulations. The results indicate that nonlinear damping can guarantee a bounded response for different excitation levels. The one-third subharmonic response is found to affect the isolation frequency range even when the primary response is stable. To evaluate the performance of the QZS system, the effective isolation frequency \({\Omega }_{e}\) and maximum transmissibility \(T_{p}\) are proposed to represent the vibration isolation range and isolation effect, respectively. By discussing the effect of \(\eta\) on \({\Omega }_{e}\) and \(T_{p}\), the conditions to avoid nonlinear phenomena and improve the isolation performance are provided. A prototype of the QZS system is then constructed for vibration tests, which verified the theoretical analysis.

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We declare that we have no financial and personal relationships with other people or organizations that can inappropriately influence our work, there is no professional or other personal interest of any nature or kind in any product, service and/or company that could be construed as influencing the position presented in, or the review of, the manuscript entitled.

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  1. School of Aerospace Engineering, Beijing Institute of Technology, No. 5 Zhongguancun South Street, Beijing, 100081, China

    Xiaoying Hu & Chunyan Zhou

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Hu, X., Zhou, C. Dynamic analysis and experiment of Quasi-zero-stiffness system with nonlinear hysteretic damping. Nonlinear Dyn 107, 2153–2175 (2022). https://doi.org/10.1007/s11071-021-07136-1

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