双稳态压电能量获取系统的分岔混沌阈值

李海涛; 秦卫阳

doi:10.3879/j.issn.1000-0887.2014.06.007

双稳态压电能量获取系统的分岔混沌阈值

doi: 10.3879/j.issn.1000-0887.2014.06.007

西北工业大学工程力学系, 西安 710072

基金项目: 国家自然科学基金(11172234)

详细信息

作者简介:
李海涛(1985—)，男，河北人，博士生(E-mail: lihaitao5884@163.com)

中图分类号: O322
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- 被引次数: 0
出版历程
- 收稿日期: 2014-01-06
- 修回日期: 2014-04-03
- 刊出日期: 2014-06-11

Bifurcation and Chaos Thresholds of Bistable Piezoelectric Vibration Energy Harvesting Systems

Department of Engineering Mechanics, Northwestern Polytechnical University, Xi’an 710072, P.R.China

Funds: The National Natural Science Foundation of China(11172234)

摘要

摘要: 建立了双稳态压电能量获取系统动力学模型并且分析了系统的同宿分岔和混沌等非线性动力学行为.根据受压梁的双稳态特性，提出了等效双稳态压电能量获取系统的数学模型.基于Melnikov理论,获得了谐波激励作用下的能量获取系统关于同宿分岔的定性研究方法.通过优化系统参数，得到了发生同宿分岔的阈值曲线.数值结果显示系统在临界阈值处由单阱运动演变为双阱运动，验证了理论分析的有效性.结果表明Melnikov方法可为能量获取系统的参数设计提供有效的理论依据.
- 双稳态能量获取系统 /
- Melnikov方法 /
- 同宿分岔
Abstract: Nonlinear dynamic performances such as homoclinic bifurcation and chaos were modeled and analyzed for bistable nonlinear vibration energy harvesting systems. According to bistability of the beam under axial loading, a model of the bistable nonlinear vibration energy harvester was established. Based on the Melnikov theory, a qualitative method was proposed to address homoclinic bifurcation of the bistable energy harvester under harmonic excitation, and the criteria for homoclinic bifurcation and the high-energy solution were derived from the Melnikov function through parameter optimization. Numerical simulation shows that the singlewell-to-doublewell transitions occur at the critical thresholds, which verifies the theoretical analysis. Research on the Melnikov method for nonlinear energy harvesting systems promises effective tools for the parametric design of high-performance energy harvesters.
- bistable energy harvester /
- Melnikov function /
- homoclinic bifurcation

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参考文献(18)

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