期刊
APPLIED MATHEMATICAL MODELLING
卷 104, 期 -, 页码 228-242出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2021.10.050
关键词
Homoclinic bifurcation; Galloping; Base excitation; Energy harvesting
资金
- National Natural Science Foundation of China [11902294]
- Natural Science Foundation for Young Scientists of Shanxi Province, China [201801D221037]
- Scientific and Technological Innovation Programs of Higher Education Institutions in Shanxi [2019L0520]
- Shanxi Scholarship Council of China [2020-103]
- Science Foundation of North University of China [XJJ201810]
This paper studies the homoclinic bifurcation and nonlinear characteristics of a bistable piezoelectric energy harvester under galloping and base excitation simultaneously. The electromechanical model of the energy harvester is established, and the threshold for snap-through is derived using the Melnikov method. The study provides a guideline for the optimum design of the bi-stable piezoelectric energy harvester for wind and vibration in practice.
In this paper, we studied the homoclinic bifurcation and nonlinear characteristics of a bistable piezoelectric energy harvester while it is concurrently excited by galloping and base excitation. Firstly, the electromechanical model of the energy harvester is established analytically by the energy approach, the Kirchhoff's law and quasi-steady hypothesis. Then, by the Melnikov method, the threshold for underlying snap-through in the system is derived, and the necessary conditions for homoclinic bifurcation and chaos are presented. The threshold is a determinant for the occurrence of high-energy oscillation. The analysis results reveal that the wind speed and the distance between magnets could affect the threshold for inter-well chaos and high energy oscillation. Finally, numerical simulation and experiments are carried out. Both results from numerical simulation and experiment support the theoretical prediction from Melnikov theory. The study could provide a guideline for the optimum design of the bi-stable piezoelectric energy harvester for wind and vibration in practice.(c) 2021 Elsevier Inc. All rights reserved.
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