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

作　　者：Shu Sun Shu-Qian Cao 

机构地区：[1]Department of Mechanics, School of Mechanical Engineering, Tianjin University, Tianjin 300350, China [2]College of Science, North China University of Science and Technology, Tangshan 063009, China [3]Tianjin Key Laboratory of Nonlinear Dynamics and Chaos Control, Tianjin 300350, China

出　　处：《Acta Mechanica Sinica》2017年第1期200-207,共8页力学学报（英文版）

基　　金：supported by the National Natural Science Foundation of China (Grant 11172199)

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.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.

关 键 词：Bistable piezoelectric cantilever beam Second order Melnikov function Homoclinic bifurcation Basin of attraction 

分 类 号：TM619[电气工程—电力系统及自动化] O415.5[理学—理论物理]