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Chaotic Dynamics-Based Analysis of Broadband Piezoelectric Vibration Energy Harvesting Enhanced by Using Nonlinearity

机译:非线性增强的基于混沌动力学的宽带压电振动能量收集分析

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摘要

Nonlinear magnetic forces are always used to enlarge resonant bandwidth of vibration energy harvesting systems with piezoelectric cantilever beams. However, how to determine properly the distance between two magnets is one of the key engineering problems. In this paper, the Melnikov theory is introduced to overcome it. Firstly, the Melnikov state-space model of the nonlinear piezoelectric vibration energy harvesting (PVEH) system is built. Based on it, chaotic dynamics mechanisms of achieving broadband PVEH by nonlinearity are exposed by potential function of the unperturbed nonlinear PVEH system. Then the corresponding Melnikov function of the nonlinear PVEH system is defined, based on which two Melnikov necessary conditions of determining the distance are obtained. Finally, numerical simulations are done to testify the theoretic results. The results demonstrate that the distance is closely related to the excitation amplitude and frequency once geometric and material parameters are fixed. Under a single-frequency excitation, the nonlinear PVEH system can generate a periodic vibration around a stable point, a large-amplitude vibration around two stable points, or a chaotic vibration. The proposed method is very valuable for optimally designing and utilizing nonlinear broadband PVEH devices in engineering applications.
机译:非线性磁力通常用于扩大具有压电悬臂梁的振动能量收集系统的共振带宽。但是,如何正确确定两个磁体之间的距离是关键的工程问题之一。本文介绍了梅尔尼科夫理论来克服它。首先,建立了非线性压电振动能量收集(PVEH)系统的梅尔尼科夫状态空间模型。在此基础上,通过无扰动非线性PVEH系统的势函数揭示了通过非线性实现宽带PVEH的混沌动力学机制。然后定义了非线性PVEH系统的相应梅尔尼科夫函数,在此基础上获得了确定距离的两个梅尔尼科夫必要条件。最后,通过数值模拟验证了理论结果。结果表明,一旦确定了几何和材料参数,该距离就与激励幅度和频率密切相关。在单频激励下,非线性PVEH系统可以在稳定点附近产生周期性振动,在两个稳定点附近产生大振幅振动或产生混沌振动。所提出的方法对于在工程应用中优化设计和利用非线性宽带PVEH设备非常有价值。

著录项

  • 来源
    《Shock and vibration》 |2016年第3期|3584740.1-3584740.11|共11页
  • 作者单位

    Natl Univ Def Technol, Sci & Technol Integrated Logist Support Lab, Changsha 410073, Hunan, Peoples R China;

    Natl Univ Def Technol, Sci & Technol Integrated Logist Support Lab, Changsha 410073, Hunan, Peoples R China;

    Natl Univ Def Technol, Sci & Technol Integrated Logist Support Lab, Changsha 410073, Hunan, Peoples R China;

    Natl Univ Def Technol, Sci & Technol Integrated Logist Support Lab, Changsha 410073, Hunan, Peoples R China;

    Natl Univ Def Technol, Sci & Technol Integrated Logist Support Lab, Changsha 410073, Hunan, Peoples R China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
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