Analysis of chaos behaviors of a bistable piezoelectric cantilever power generation system by the second-order Melnikov function

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• 作者：Shu Sun ; Shu-Qian Cao
• 关键词：Bistable piezoelectric cantilever beam ; Second order Melnikov function ; Homoclinic bifurcation ; Basin of attraction
• 刊名：Acta Mechanica Sinica
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：33
• 期：1
• 页码：200-207
• 全文大小：
• 刊物类别：Engineering
• 刊物主题：Theoretical and Applied Mechanics; Classical and Continuum Physics; Engineering Fluid Dynamics; Computational Intelligence;
• 出版者：The Chinese Society of Theoretical and Applied Mechanics; Institute of Mechanics, Chinese Academy of
• ISSN：1614-3116
• 卷排序：33

文摘

By applying the second order Melnikov function, the chaos behaviors of a bistable piezoelectric cantilever power generation system are analyzed. Firstly, the conditions for emerging chaos of the system are derived by the second order Melnikov function. Secondly, the effects of each item in chaos threshold expression are analyzed. The excitation frequency and resistance values, which have the most influence on chaos threshold value, are found. The result from the second order Melnikov function is more accurate compared with that from the first order Melnikov function. Finally, the attraction basins of large amplitude motions under different exciting frequency, exciting amplitude, and resistance parameters are given.