Performance estimation of a piezoelectric energy harvester with rotatable external magnets.

IF 2.7 2区 数学 Q1 MATHEMATICS, APPLIED
Chaos Pub Date : 2024-12-01 DOI:10.1063/5.0231452
Diandian Cui, Huilin Shang
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引用次数: 0

Abstract

This study estimates the performance of a piezoelectric energy harvester (PEH) with rotatable external magnets from the viewpoint of global dynamics. According to static analysis of the PEH dynamic system, the monostable and bistable potential wells are configured under different values of the inclined angle of the external magnets. In the monostable case, the method of multiple scales is applied for the analysis of periodic responses, while the extended averaging method and the Melnikov method are utilized to analyze the periodic and chaotic responses in the bistable case. Numerical results are in great agreement with the theoretical ones. It follows from the comparison of the dynamical behaviors in the two cases that the bistable-well configuration is more efficient in harvesting vibration energy under low-frequency or low-level ambient excitation. In the bistable case, sequences of the coexisting attractors and basins of attraction (BAs) with the increase in the excitation strength are presented, illustrating that the inter-well periodic and chaotic responses can be successively triggered by the rise in the excitation level, and which attractor will contribute to increasing the voltage output depends on the location and size of their BAs. With the increase in the excitation level, rich nonlinear dynamic phenomena, such as multistability, period-2 attractors, chaos, fractal BAs, and hidden attractors, can be observed.

带有可旋转外部磁体的压电能量采集器的性能评估。
本文从全局动力学的角度对具有可旋转外磁体的压电能量收集器(PEH)的性能进行了评估。通过对PEH动力系统的静态分析,在不同的外磁体倾斜角度下配置了单稳态和双稳态势阱。在单稳定情况下,采用多尺度方法分析周期响应,而在双稳定情况下,采用扩展平均法和Melnikov法分析周期响应和混沌响应。数值计算结果与理论计算结果吻合较好。从两种情况下的动力学行为比较可以看出,双稳井结构在低频或低水平环境激励下更有效地收集振动能量。在双稳态情况下,随着激励强度的增加,同时存在的吸引子和吸引盆地(BAs)序列表明,随着激励水平的提高,可以依次触发井间周期响应和混沌响应,而哪个吸引子有助于增加电压输出取决于它们的BAs的位置和大小。随着激励水平的增加,可以观察到丰富的非线性动力学现象,如多稳定性、周期2吸引子、混沌、分形ba和隐藏吸引子。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Chaos
Chaos 物理-物理:数学物理
CiteScore
5.20
自引率
13.80%
发文量
448
审稿时长
2.3 months
期刊介绍: Chaos: An Interdisciplinary Journal of Nonlinear Science is a peer-reviewed journal devoted to increasing the understanding of nonlinear phenomena and describing the manifestations in a manner comprehensible to researchers from a broad spectrum of disciplines.
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