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

被引：0
|
作者：
Shu Sun
Shu-Qian Cao
机构：
[1] Tianjin University,Department of Mechanics, School of Mechanical Engineering
[2] North China University of Science and Technology,College of Science
[3] Tianjin Key Laboratory of Nonlinear Dynamics and Chaos Control,undefined
来源：
Acta Mechanica Sinica | 2017年 / 33卷
关键词：
Bistable piezoelectric cantilever beam; Second order Melnikov function; Homoclinic bifurcation; Basin of attraction;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
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页码：200 / 207
页数：7
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