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

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Abstract

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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Acknowledgements

The project was supported by the National Natural Science Foundation of China (Grant 11172199).

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Authors and Affiliations

  1. Department of Mechanics, School of Mechanical Engineering, Tianjin University, Tianjin, 300350, China

    Shu Sun & Shu-Qian Cao

  2. College of Science, North China University of Science and Technology, Tangshan, 063009, China

    Shu Sun

  3. Tianjin Key Laboratory of Nonlinear Dynamics and Chaos Control, Tianjin, 300350, China

    Shu-Qian Cao

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  1. Shu Sun
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  2. Shu-Qian Cao
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Correspondence to Shu-Qian Cao.

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Sun, S., Cao, SQ. Analysis of chaos behaviors of a bistable piezoelectric cantilever power generation system by the second-order Melnikov function. Acta Mech. Sin. 33, 200–207 (2017). https://doi.org/10.1007/s10409-016-0609-8

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  • DOI: https://doi.org/10.1007/s10409-016-0609-8

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