金属橡胶非线性隔振系统混沌特性

Chaotic Characteristics of Nonlinear Metal Rubber Vibration Isolation System

对金属橡胶非线性隔振系统的混沌特性进行了研究。推导了系统振动的状态方程,计算了系统的Lyapunov指数,并根据给定的参数绘制了系统的时间历程图、相轨迹图,证明了系统存在混沌运动。通过系统响应频谱图的分析,说明了金属橡胶非线性混沌振动在线谱控制中的重要作用。用数值方法分析了激励参数与隔振器参数对金属橡胶隔振系统动力学特性的影响,依据系统随各参数变化的分岔图,指出了系统产生混沌运动时各参数的取值范围,从而得到了金属橡胶非线性隔振系统产生混沌振动时各参数选取的一般方法,为金属橡胶非线性隔振系统的混沌特性应用打下了基础。

The chaotic characteristic of nonlinear metal rubber vibration isolation system was stud- ied herein. The system state equation was derived, the Lyapunov exponent was calculated, the displace- ment time history diagram and the phase track diagram were draw out, it proved that the system was in the chaotic state under the conditions of the given parameters. Through the analysis of the system response spectrum diagram, the metal rubber nonlinear vibration isolation system chaos was illustrated in the important role of line-spectrum control. The parameters of the excitation and the vibration isola- tor＇s impacts on system dynamics characteristic were analyzed by using numerical methods. The pa- rameter scopes in the chaotic state were confirmed based on the bifurcation diagram changed with the parameters of the excitation and the vibration isolator. The general selection method of the parameter was got, which could make the system be in the chaotic state, and it lays a foundation for the applica- tions of the nonlinear metal rubber chaotic vibration.