一类混合隔振系统非线性动力特性分析

Nonlinear Dynamic Characteristics Analysis of a Passive-active Hybrid Vibration Isolation System

研究磁悬浮—气囊主被动混合隔振系统的非线性动力特性,包括对系统的稳定性分析和位移响应的计算及其模拟仿真。通过对磁悬浮—气囊主被动混合隔振装置的简化,建立与之相适应的非线性动力微分方程;利用谐波平衡法对非线性微分方程进行求解,研究系统方程的幅频响应曲线在不同参数下的变化规律;由Lyapunov稳定性定理对系统进行稳定性判断;通过Simulink软件对整个系统进行模拟仿真得出位移的功率谱曲线,分析结果表明混合隔振系统在低频激励下的稳定性更好,隔振效果明显。

The nonlinear dynamic characteristics of a passive- active hybrid vibration isolator system using electromagnetic actuator and air spring were studied. The study contained stability analysis, computation and simulation of displacement responses. The nonlinear dynamic differential equation was established by simplifying the passive-active hybrid vibration isolation. The solution of nonlinear differential equation was obtained by using harmonic balance method. The amplitude-frequency response curves of the system equation with different parameters were studied. Stability of the system was judged by Lyapunov stability theorem. The power spectrum curves of displacement were obtained by simulation of the system with Simulink. It is shown that the stability and the vibration isolation efficiency of the system with active control is good.