Abstract

This paper proposes a novel finite element model (FEM) that can completely characterize the galloping based piezoelectric energy harvester (GPEH) systems. The challenges faced by conventional analytical models in explaining the complex nonlinear dynamics of GPEHs are completely resolved. The present system consists of a cantilever beam with two piezoelectric patches and a square prism attached at the end. A FEM code, in MATLAB environment, is developed to solve the proposed model, and the solutions are compared with the experimental and analytical results from the literature. The lateral galloping force coefficient is represented by a 7th order polynomial based on the quasi-steady theory ensuring highest precision (proved in literature). The results from the present model are found to be in a good agreement with the experimental values, and the accuracy is better compared to the analytical solutions at low wind speeds (<2.5 m/s). The position of maximum efficiency lies near to the onset speed of galloping (2–3 m/s) and the magnitude decreases with further increase in the wind speed. The present work emphasizes the importance of FE (numerical) solution over the conventional analytical ones, and hence will open a door to explore new numerical models in this area.

摘要

本文提出了一种新颖的有限元模型（FEM），可以完全表征基于奔腾的压电能量收集器（GPEH）系统。传统分析模型在解释 GPEH 的复杂非线性动力学方面面临的挑战得到了彻底解决。本系统由带有两个压电贴片的悬臂梁和末端连接的方形棱镜组成。在 MATLAB 环境下开发了有限元代码来求解所提出的模型，并将解与文献中的实验和分析结果进行比较。横向奔腾力系数由基于准稳态理论的 7 次多项式表示，以确保最高精度（在文献中得到证明）。发现当前模型的结果与实验值非常吻合，与低风速（<2.5 m/s）下的解析解相比，精度更高。最大效率的位置位于疾驰的起始速度（2-3 m/s）附近，并且随着风速的进一步增加，幅度减小。目前的工作强调了有限元（数值）解决方案相对于传统分析解决方案的重要性，因此将为探索该领域的新数值模型打开大门。