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Non-uniform electric field in cantilevered piezoelectric energy harvesters: An improved distributed parameter electromechanical model

机译：悬臂压电能量收割机中的非均匀电场：改进的分布式参数机电模型

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摘要

In the existing electromechanical model for cantilevered piezoelectric energy harvesters, the electric field in the piezoelectric layer is generally considered as a uniform field. In the present study, it is found and described in detail that the oversimplified uniform electric field assumption could lead to critical issues regarding the fundamental of piezoelectricity. Further, inspired by the electric field distribution obtained using the exact solutions for plane problems, a non-uniform electric field is proposed. Accordingly, an improved distributed parameter electromechanical model for cantilevered piezoelectric energy harvesters including both unimorph and bimorph configurations is established, in which the bending stiffness term involved in the electromechanical governing equations is explicitly corrected, and the aforementioned critical issues are perfectly addressed. The present proposed non-uniform electric field is then validated by comparing the static analysis results of the present model with finite element results and the results obtained using exact solutions for plane problems. Dynamic analysis of the present model is also conducted, and the electromechanical characteristic corrections for the traditional distributed parameter model adopting uniform electric field assumption is carried out including bending stiffness correction, resonant frequency correction, voltage output correction and power output correction.
机译：在悬臂压电能量收割机的现有机电模型中，压电层中的电场通常被认为是均匀的磁场。在本研究中，详细地发现并详细描述了超薄的均匀电场假设可能导致关于压电基础的关键问题。此外，通过使用使用精确的平面问题获得的电场分布的启发，提出了一种非均匀的电场。因此，建立了一种用于包括单身维护和双芯配置的悬臂压电能量收割机的改进的分布式参数机电模型，其中明确地纠正了机电控制方程中涉及的弯曲刚度术语，并且完全解决了上述的关键问题。然后通过将本模型的静态分析结果与有限元结果进行比较和使用精确解决方案进行平面问题来验证本提出的非均匀电场。还进行了对本模型的动态分析，以及采用均匀电场假设的传统分布式参数模型的机电特性校正，包括弯曲刚度校正，谐振频率校正，电压输出校正和功率输出校正。

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