关键词: 金属橡胶, 非线性隔振系统, 李雅普诺夫指数, 动力学特性, 混沌

Abstract:

The  chaotic  characteristic of nonlinear metal rubber vibration isolation system  was studied  herein.The system state equation was derived,the Lyapunov exponent  was calculated,the displacement  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 isolator's  impacts  on system dynamics  characteristic  were analyzed by using numerical methods.The parameter 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 applications  of  the nonlinear metal rubber chaotic vibration.

Key words: metal , rubber;nonlinear vibration-isolation system;Lyapunov exponent;dynamics , characteristic;chaos