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

作者：Sun, Shu; Cao, Shu-Qian^*

来源：Acta Mechanica Sinica, 2017, 33(1): 200-207.

DOI：10.1007/s10409-016-0609-8

• Bistable piezoelectric cantilever beam
• Second order Melnikov function
• Homoclinic bifurcation
• Basin of attraction

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.

• 出版日期2017-2
• 单位中国科学技术大学; 天津大学