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  HomeContents of Chinese Journal of Mechanical Engineering 2003 No.1STABILITY AND BIFURCATION OF PERIODIC MOTIONS OF THE INERTIAL SHAKERS

STABILITY AND BIFURCATION OF PERIODIC

MOTIONS OF THE INERTIAL SHAKERS

 

Luo Guanwei

(Lanzhou Railway Institute)

Xie Jianhua

(Southwest Jiaotong University)

 

Abstract: Stability and local bifurcation of two kinds of inertial shakers are investigated by theoretical analysis and numerical simulations. It is demonstrated that the system can exhibit chaotic behaviour via Hopf bifurcation or doubling-periodic bifurcation of periodic impact motion. Routes from Hopf bifurcation and doubling-periodic bifurcations of periodic impact motion to chaos are discussed. The system parameters of shaker may be optimized by studying of stability and bifurcation of periodic impact motion of shaker.

Key words: Vibro-impact  Vibration  Shaker  Map  Periodic motion  Bifurcation  Chaos

CLC No: TH113.1

国家自然科学基金(10172042)和教育部博士点基金(20010613001) 资助项目. Received 20010215, received in revised form 20020405

 
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