新型低频隔振器的特性研究

刘兴天;张志谊;华宏星

振动与冲击 ›› 2012, Vol. 31 ›› Issue (5) : 161-164.

PDF(1047 KB)
PDF(1047 KB)
振动与冲击 ›› 2012, Vol. 31 ›› Issue (5) : 161-164.
论文

新型低频隔振器的特性研究

  • 刘兴天; 张志谊; 华宏星
作者信息 +

Characteristics of a novel low-frequency isolator

  • Liu Xing-tian; Zhang Zhi-yi; Hua Hong-xing
Author information +
文章历史 +

摘要

通过并联具有负刚度特性的刀口支撑滑动梁和正刚度的线性弹簧,设计了全新型的超低频非线性隔振系统。分析了系统的静态力学特性,给出了系统的力-位移关系以及刚度曲线,系统的非线性特性明显。求取了系统具有近似动态零刚度时的参数配置并结合实际应用选定了系统工作平衡点。建立了系统的非线性动力学方程,在对方程进行简化后,采用谐波平衡法求解了Helmholtz-Duffing方程的响应,分析了系统的频响特性,得出了在激励幅值较小的激励下系统具有渐软特性,而激励幅值增大后系统会出现二次跳变,即先表现为软特性后表现为硬特性。对此种新型隔振器的设计提供了理论指导。

Abstract

Combining a knife-supported sliding beam featured negative stiffness with a linear positive stiffness mechanical spring, a fully new type ultra-low frequency passive isolator is proposed and designed in this paper. The static characteristics of the system are analyzed and the displacement-force relationship is given as well as the stiffness expression. The configuration of the system to get quasi-zero dynamic stiffness was derived. The equilibrium operation point is discussed considering the practical application. The nonlinear dynamic equation is established and solved using Harmonic Balance Method (HBM) after appropriately simplified it to a known as Helmholtz-Duffing equation. The system behaves softening feature when excited with small amplitude. And double jump phenomenon is found when certain excitation amplitude is applied after examining the frequency-response curves of the system. The analysis in this article offers theoretical guidance for the design of such kind of low-frequency nonlinear isolator.

关键词

负刚度 / 超低频 / 非线性隔振系统 / 二次跳变

Key words

negative stiffness / ultra-low frequency / nonlinear isolation system / double-jump

引用本文

导出引用
刘兴天;张志谊;华宏星 . 新型低频隔振器的特性研究[J]. 振动与冲击, 2012, 31(5): 161-164
Liu Xing-tian;Zhang Zhi-yi;Hua Hong-xing. Characteristics of a novel low-frequency isolator[J]. Journal of Vibration and Shock, 2012, 31(5): 161-164

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