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Nonlinear dynamic response of an L-shaped beam-mass piezoelectric energy harvester
Journal of Sound and Vibration ( IF 4.7 ) Pub Date : 2021-02-03 , DOI: 10.1016/j.jsv.2021.116004
Haisheng Li , Haixia Sun , Baoyong Song , Dong Zhang , Xinchun Shang , Donghuan Liu

Piezoelectric energy harvesters (PEHs) have been taken considerable attention in decades. To evaluate the performance of the harvester in large deformation and high electric field conditions, nonlinear effects (geometric, material and damping nonlinearities) should be involved in analyzing the characteristic of the harvesters. In this article, the unimorph L-shaped harvester is investigated and influence of the geometric and material nonlinearities to the responses of the proposed L-shaped harvester is also studied. Based on extended Hamilton principle and Gauss law, the distributed parameter model of the L-shaped harvester is established and validated with experiments. Moreover, influence of some key parameters such as excitation amplitude abx and nonlinear material coefficients α1-α4 to the dynamic responses and voltage outputs of the L-shaped harvester are also analyzed. Besides, four different harvesters, which contain linearity only, geometric nonlinearity only, material nonlinearity only and both geometric and material nonlinearities, are investigated to embody the difference and importance of the two nonlinearities (geometric and material nonlinearities). Results show that as the excitation amplitude abx increases, effect of geometric nonlinearity becomes more obvious and leads to the softening phenomenon, and part of nonlinear material coefficients have greater influence to the peak value of the dynamic responses and the nonlinear phenomena (softening or multiple-frequency). Thus, consideration of nonlinear effects (geometric and material nonlinearities) can improve the prediction accuracy of the performance of the harvester which will be helpful for design and application of the harvester in large amplitude excitation and high electric field conditions.



中文翻译:

L形束质量压电能量采集器的非线性动态响应

几十年来,压电能量收集器(PEH)受到了相当大的关注。为了评估收割机在大变形和高电场条件下的性能,应在分析收割机的特性时涉及非线性效应(几何,材料和阻尼非线性)。本文研究了单形L形收割机,并研究了几何和材料非线性对所提出的L形收割机响应的影响。基于扩展的汉密尔顿原理和高斯定律,建立了L型收割机的分布式参数模型,并进行了实验验证。而且,一些关键参数的影响,例如激励幅度a bx和非线性材料系数α1 - α 4的动态响应和L形收割机的电压输出进行了分析。此外,还研究了四个仅包含线性,仅包含几何非线性,仅包含材料非线性以及包含几何和材料非线性的收割机,以体现这两个非线性(几何和材料非线性)的区别和重要性。结果表明,作为激励幅度a bx增大,几何非线性的影响变得更加明显并导致软化现象,并且部分非线性材料系数对动态响应和非线性现象(软化或多频)的峰值影响更大。因此,考虑非线性效应(几何和材料非线性)可以提高收割机性能的预测精度,这将有助于在大振幅激励和高电场条件下收割机的设计和应用。

更新日期:2021-02-12
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