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双稳态压电能量获取系统的分岔混沌阈值

李海涛 秦卫阳

李海涛, 秦卫阳. 双稳态压电能量获取系统的分岔混沌阈值[J]. 应用数学和力学, 2014, 35(6): 652-662. doi: 10.3879/j.issn.1000-0887.2014.06.007
引用本文: 李海涛, 秦卫阳. 双稳态压电能量获取系统的分岔混沌阈值[J]. 应用数学和力学, 2014, 35(6): 652-662. doi: 10.3879/j.issn.1000-0887.2014.06.007
LI Hai-tao, QIN Wei-yang. Bifurcation and Chaos Thresholds of Bistable Piezoelectric Vibration Energy Harvesting Systems[J]. Applied Mathematics and Mechanics, 2014, 35(6): 652-662. doi: 10.3879/j.issn.1000-0887.2014.06.007
Citation: LI Hai-tao, QIN Wei-yang. Bifurcation and Chaos Thresholds of Bistable Piezoelectric Vibration Energy Harvesting Systems[J]. Applied Mathematics and Mechanics, 2014, 35(6): 652-662. 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
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

Bifurcation and Chaos Thresholds of Bistable Piezoelectric Vibration Energy Harvesting Systems

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

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