耦合吸振器的正负刚度并联系统的隔振性能研究

基于动力吸振原理,设计了耦合线性吸振器的正负刚度并联隔振系统。建立了系统的动力学方程,运用平均法进行解析求解,推导了动态响应频域解析解和传递率表达式,数值分析了吸振器的质量、刚度和阻尼对耦合系统隔振性能的影响规律,并与正负刚度并联系统进行了比较。结果表明,选择合适参数的吸振器,可在保有正负刚度并联系统的优良隔振性能的基础上,降低一定频域内被隔振体的振幅,减小系统起始隔振频率,扩大隔振频带宽,改善低频隔振效果。

Isolation performance of a positive and negative stiffness parallel system of coupled absorber

Based on the principle of dynamic vibration absorption, a positive and negative stiffness parallel vibration isolation system of linear coupled vibration absorber was designed. The system’s dynamic equations were established and solved analytically with the averaging method. The frequency domain analytical solutions of the system’s dynamic response and the expression of the transmissibility were derived. The effect laws of mass, stiffness and damping of the absorber on the coupled system’s vibration isolation performance were numerically analyzed and compared with those of the positive and negative stiffness parallel system. The results showed that choosing vibration absorber with suitable parameters can reduce amplitudes of the isolated body  within a certain frequency range, reduce the system’s  initial vibration isolation frequency, expand the isolation frequency bandwidth and improve the low-frequency isolation effect based on maintaining excellent vibration isolation effect of the positive and negative stiffness parallel system.