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具有位移相关电磁分流阻尼的准零刚度隔振器的动态性能

Dynamic performance of quasi-zero-stiffness isolator with displacement-dependent electromagnetic shunt damping.

作者信息

Hao Pengxiao, Niu Jiangchuan, Zhang Wanjie

机构信息

State Key Laboratory of Mechanical Behavior and System Safety of Traffic Engineering Structures, Shijiazhuang Tiedao University, Shijiazhuang, 050043, China.

School of Mechanical Engineering, Shijiazhuang Tiedao University, Shijiazhuang, 050043, China.

出版信息

Sci Rep. 2025 Apr 17;15(1):13316. doi: 10.1038/s41598-025-97317-4.

DOI:10.1038/s41598-025-97317-4
PMID:40246903
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC12006540/
Abstract

Since the damping force of electromagnetic shunt damping (EMSD) devices can be adjusted by controlling the external circuit, in order to further enhance its vibration reduction performance in the resonance region of the vibration isolation system, a displacement-dependent electromagnetic shunt damping (D-EMSD) system is developed by incorporating a sliding rheostat. Utilizing the approximate analytical solution solved via the harmonic balance method, the dynamic performance of a quasi-zero-stiffness (QZS) isolator integrated with a D-EMSD are examined. Concurrently, the stability conditions for the steady periodic solutions are deduced employing the Lyapunov first method and the Routh-Hurwitz stability criterion. A comprehensive analysis is conducted on the influence of the D-EMSD and various system parameters on the amplitude-frequency response and force transmission characteristics of the primary QZS system. The results show that D-EMSD can simultaneously decrease the peak values of amplitude and force transfer rate within the main resonance zone, which improves the vibration isolation capability of QZS system for the main resonance zone without compromising high-frequency isolation capability.

摘要

由于电磁分流阻尼（EMSD）装置的阻尼力可通过控制外部电路进行调节，为进一步提高其在隔振系统共振区域的减振性能，通过引入滑动变阻器开发了一种与位移相关的电磁分流阻尼（D-EMSD）系统。利用通过谐波平衡法求解的近似解析解，研究了集成有D-EMSD的准零刚度（QZS）隔振器的动态性能。同时，采用李雅普诺夫第一法和劳斯-赫尔维茨稳定性判据推导了稳态周期解的稳定性条件。全面分析了D-EMSD和各种系统参数对主QZS系统幅频响应和力传递特性的影响。结果表明，D-EMSD可同时降低主共振区内振幅和力传递率的峰值，在不影响高频隔振能力的情况下，提高了QZS系统对主共振区的隔振能力。

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本文引用的文献

1
Dual-Functional Energy-Harvesting and Vibration Control: Electromagnetic Resonant Shunt Series Tuned Mass Dampers.双功能能量收集与振动控制：电磁谐振分流串联调谐质量阻尼器
J Vib Acoust. 2013 Oct;135(5):510181-510189. doi: 10.1115/1.4024095. Epub 2013 Jun 18.