Modeling and Analysis of a Piezoelectric Stick-slip Energy Harvester

K. Nakamura, A. Masuda, C. Sawai
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Abstract

This study presents a dynamical modeling and analysis of a piezoelectric energy harvester which converts a translational motion into sustained vibration via stick-slip motion. The presented device consists of an Lshaped cantilever oscillator with a piezoelectric transducer (macro-fiber composite) glued on it. When its tip is rubbed by a linearly moving friction pad, a friction-induced vibration yields a power flow from the mechanical work applied to move the friction pad to the piezoelectric transducer. In this study, the oscillator was modeled as a 2-DOF system, and the equations of motions were derived via the Lagrange equation of motion. A preliminary study suggested that there were several typical modes of tip motions, including one always kept contact with the surface of the friction pad, and another one kept hopping-like motion on the surface. Numerical simulations were conducted to find the underlying physical mechanism of the behavior of those tip motion. As the results of the numerical simulations, the former motion mode was successfully reproduced, while the latter motion mode was not sufficiently reproduced, which may require another degreeof-freedom to represent the higher vibration mode of the oscillator.
压电粘滑能量采集器的建模与分析
本文对压电能量采集器进行了动力学建模和分析,该能量采集器通过粘滑运动将平动运动转化为持续振动。该装置由l型悬臂振荡器和粘接的压电换能器(宏纤维复合材料)组成。当它的尖端被线性移动的摩擦片摩擦时,摩擦引起的振动产生一股能量流,这种能量流来自于将摩擦片移动到压电换能器上所施加的机械功。在本研究中,振荡器被建模为一个二自由度系统,并通过拉格朗日运动方程推导出运动方程。一项初步研究表明,尖端运动有几种典型模式,包括一种总是与摩擦垫表面保持接触,另一种在表面保持跳跃运动。通过数值模拟,找出了这些尖端运动行为的潜在物理机制。数值模拟结果表明,前者的运动模式得到了成功的再现,而后者的运动模式没有得到充分的再现,这可能需要另一个自由度来表示振荡器的高振动模式。
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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