金属橡胶隔振器的混沌分析

摘要：本文利用Poincare三维相空间和Lyapunov直接法，研究了金属橡胶隔振系统的动力学方程，对其化简后进行了奇点分析和稳定性的判断，得出了金属橡胶隔振器在平衡点是渐进稳定的结论．同时用Melnikov法判断获得系统存在同宿点，解出系统将产生混沌的一个理论值．并利用Matlab Simuliuk仿真工具对该动力学方程的非线性项进行模拟，改变外加周期力的振幅，从得出的各图象中找到一个系统产生混沌的实际值。

关键词：金属橡胶隔振器；奇点；稳定性；混沌；仿真。

The Chaos Analysis for Metal Rubber Vibration Isolator
 
Abstract: This paper, with the Poincare’s phase space in 3-D and the second method of Lyapunov, studied the dynamic equation of the metal rubber vibration isolator, analyzed and solved the problem of the singular point and stability of this dynamic system under the three dimension, and at last concluded that the stability of metal rubber vibration isolator is of asymptotic stability when it runs at equilibrium point.
use Melnikov method to know a homoclinic point exist in System  and Come up with will have a chaotic system of a theoretical value. With Matlab Simuliuk tools, Simulation of the dynamics of nonlinear equations items , Plus changes of amplitude cycle, Derived from the image to find a system to produce the actual value of Chaos .

Keywords: Metal Rubber Isolator ; Singularity ; Stability; The  Method of Lyapunov;chaos; Simulation Analysis
.........................