东北大学学报（自然科学版）

东北大学学报:自然科学版 ›› 2020, Vol. 41 ›› Issue (5): 662-666.DOI: 10.12068/j.issn.1005-3026.2020.05.009

• 机械工程 • 上一篇    下一篇

X型准零刚度隔振器的隔振特性分析

姚国1， 于永恒1， 张义民2， 武志花1   

  1. (1.东北大学 机械工程与自动化学院， 辽宁 沈阳110819； 2.沈阳化工大学 装备可靠性研究所， 辽宁 沈阳110142)
  • 收稿日期:2019-09-05 修回日期:2019-09-05 出版日期:2020-05-15 发布日期:2020-05-15
  • 通讯作者: 姚国
  • 作者简介:姚国(1980-)，男，黑龙江双城人，东北大学副教授； 张义民(1958-)，男，吉林长春人，沈阳化工大学教授，长江学者特聘教授.
  • 基金资助:

    中国博士后科学基金资助项目(2018M631798)； 中央高校基本科研业务费专项资金资助项目(N170304018).

Vibration Isolation Characteristics Analysis of X-shaped Quasi-Zero Stiffness Vibration Isolator

YAO Guo1， YU Yong-heng1， ZHANG Yi-min2， WU Zhi-hua1   

  1. 1.School of Mechanical Engineering & Automation， Northeastern University， Shenyang 110819， China；2. Equipment Reliability Institute， Shenyang University of Chemical Technology， Shenyang 110142， China.
  • Received:2019-09-05 Revised:2019-09-05 Online:2020-05-15 Published:2020-05-15
  • Contact: YAO Guo
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摘要：

将一种X型结构应用于准零刚度隔振器以改善其低频隔振性能.根据牛顿运动定律建立了系统的动力学方程.利用增量谐波平衡法对非线性常微分方程进行求解，得到系统的幅频响应曲线.讨论了等同约化刚度γ值对系统传递率的影响.研究结果表明:水平弹簧的无量纲预压缩长度的合理区间为 (0，2).在共振区时，γ值的增大可以减小力传递率.在较高频率激励下，γ值的变化对系统隔振性能影响较弱.随着γ值减小，共振区的位移传递率急剧减小.此外，γ值的减小也会引起共振频率减小，并且使得跳跃现象消失.因此，X型准零刚度隔振器的等同约化刚度γ值是一个可以有效反映系统低频隔振效果的理想参数.

关键词: X型结构, 准零刚度(QZS), 隔振器, 增量谐波平衡法(IHB), 等同约化刚度, 传递率

Abstract:

An X-shaped structure is applied to quasi-zero stiffness isolator to improve its low frequency isolation performance. The dynamic equation of the system is established by using the Newton’s motion law. The amplitude-frequency response curves of the system are obtained by using the incremental harmonic balance method. The effect of equivalent reduced stiffness γ on system transmissibility is discussed. Research results show that the reasonable numerical interval of dimensionless pre-compression length of horizontal spring is (0， 2). In the resonant region， the increase of γ can significantly reduce the force transmissibility. At higher excitation frequencies， the effect of the change of γ on the vibration isolation performance of the system is weak. With the decrease of γ， the displacement transmissibility in the resonance region decreases sharply. In addition， the decrease of γ will also reduce the resonance frequency and make the jump phenomenon disappear. Therefore， the equivalent reduced stiffness γ of the X-shaped quasi-zero stiffness isolator is an ideal parameter which can effectively reflect the effect of low-frequency vibration isolation of the system. The effect of equivalent reduced stiffness γ is discussed in detail.

Key words: X-shaped structure, quasi-zero stiffness(QZS), vibration isolator, incremental harmonic balance method (IHB), equivalent reduced stiffness, transmissibility

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