惯容准零刚度隔振器动态特性研究
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TB535; O322

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国家自然科学基金资助项目(12172153,51805216);中国博士后科学基金资助项目(2019M651464);机械结构力学及控制国家重点实验室开放基金资助项目(MCMS?E?0220Y01)


Dynamic Characteristics of Inerter⁃based Quasi⁃zero Stiffness Vibration Isolator
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    摘要:

    将惯容器运用于准零刚度(quasi-zero stiffness,简称QZS)隔振器中,根据惯容器、弹簧与阻尼器的布置形式,提出并联式与串联式惯容准零刚度隔振器。研究两种惯容准零刚度隔振器在简谐力激励下的动态特性,运用谐波平衡法求解系统的动态响应,揭示两个主要的结构参数(惯质比与刚度比)对系统动态特性的影响规律,定义动态位移峰值、力传递率峰值、隔振频带以及高频带的力传递率4个性能评价指标来评价系统的隔振性能。研究表明,相较准零刚度隔振器,并联式惯容准零刚度隔振器的力传递率峰值较小,隔振频带较宽,但动态位移峰值与高频带的力传递率较大;串联式惯容准零刚度隔振器能拓宽准零刚度隔振器的隔振频带,高频带的力传递率都趋于零,但动态位移峰值与力传递率峰值较大。研究内容为将惯容器运用于准零刚度低频隔振领域具有理论指导意义。

    Abstract:

    Based on the layout form of damper, spring and inerter, which is applied to the quasi-zero stiffness (QZS) vibration isolator, the parallel-connected and series-connected inerter-based QZS vibration isolators are proposed. The dynamic characteristics of the two inerter-based QZS vibration isolators under harmonic force excitation are studied. Utilizing the harmonic balance method, the dynamic response of the system is obtained. Besides, the influence of two main structural parameters (inertance-to-mass ratio and stiffness ratio) on the dynamic characteristics of the system is revealed and four performance indices, which are peak dynamic displacement, peak force transmissibility, isolation frequency band and force transmissibility, are defined to evaluate the isolation performance of the systemin the high-frequency band. The results show that compared with the QZS vibration isolator, the parallel-connected inerter-based QZS vibration isolator has a smaller peak force transmissibility and a larger isolation frequency band, while the peak dynamic displacement and force transmissibility in the high-frequency band is larger. Moreover, the series-connected inerter-based QZS vibration isolator can widen the isolation frequency band and the force transmissibility in the high-frequency band approaches to zero, while the peak dynamic displacement and peak force transmissibility are larger. Hence, the study provides theoretical guidance for applying the inerter in the QZS low-frequency isolation area.

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  • 在线发布日期: 2022-01-05
  • 出版日期: 2021-12-31
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