Dynamical complexity of a bistable energy harvesting system under Poisson white noise excitation
XU Shuo1,HE Meijuan1,JIA Wantao2
1.School of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou 730070, China;
2.School of Mathematics and Statistics, Northwestern Polytechnical University, Xian 710072, China
Abstract:The dynamic complexity of a bistable energy harvesting system under the combined effect of Poisson white noise and periodic signals is depicted by statistical complexity. Considering the complex statistical properties of Poisson white noise, firstly, the Bandt-Pompt algorithm was used to construct the residence time interval of the response of the bistatic energy harvesting system, based on which the statistical complexity and standard Shannon entropy of the system were obtained; secondly, the mean square voltage and effective output power of the system were calculated by numerical methods; finally, the effects of Poisson white noise, coupling coefficient, damping coefficient and periodic signal on the dynamics complexity and energy harvesting efficiency of the system were analyzed in detail. The results show that the non-monotonic evolution trend of the statistical complexity curve and the standard Shannon entropy curve indicates that the system generates stochastic resonance phenomenon, and the selection of appropriate system parameters can promote the stochastic resonance behavior, when the dynamical complexity of the system is maximized. In addition, the trends of mean square voltage and effective output power with parameters are consistent with the evolutionary behavior of the statistical complexity curves, and the stochastic resonance behavior occurs when the system has the highest energy harvesting efficiency.
收稿日期: 2023-07-26
出版日期: 2024-05-28
引用本文:
许硕1,何美娟1,贾万涛2. 泊松白噪声激励下双稳态能量采集系统的动力学复杂性研究[J]. 振动与冲击, 2024, 43(10): 123-131.
XU Shuo1,HE Meijuan1,JIA Wantao2. Dynamical complexity of a bistable energy harvesting system under Poisson white noise excitation. JOURNAL OF VIBRATION AND SHOCK, 2024, 43(10): 123-131.
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