一种拉伸式准零刚度隔振系统的设计和特性分析

Design and Characteristic Analysis of a Tensile Quasi-zero Stiffness Vibration Isolation System

针对低频隔振,采用正负刚度并联的原理构造一种拉伸式准零刚度隔振器。通过静力学分析,确定系统在平衡位置实现准零刚度的参数条件;采用谐波平衡法求解系统在简谐力作用下的幅频响应和多稳态区域;利用马蒂厄方程进行稳定性判别,并与数值结果进行对比;利用胞映射验证多态共存,分析系统参数对幅频响应和力传递率的影响。研究表明,在满足准零刚度条件下,准零刚度隔振系统起始隔振频率比为0.73左右,相对于线性系统,起始隔振频率比降低50%左右,隔振性能更好,实现了低频隔振。

Aiming at low-frequency vibration isolation,a tensile quasi-zero stiffness isolator is constructed based on the principle of parallel connection of positive and negative stiffness.Through static analysis,the parameter conditions for the system to achieve quasi-zero stiffness at the equilibrium position are determined.The amplitude frequency response and multi-stable region of the system excited by harmonic force are solved by means of harmonic balance method.The stability is judged by Mathieu equation,and the results are compared with the numerical results.The coexistence of polymorphic states is verified by cell mapping.The effects of system parameters on amplitude frequency response and force transfer rate are analyzed.The research shows that under the condition of quasi-zero stiffness,the initial isolation frequency ratio of the quasi-zero stiffness vibration isolation system is about 0.73.Compared with the linear system,the initial isolation frequency ratio is reduced by about 50 %,which has better vibration isolation performance and realizes low-frequency vibration isolation.