Abstract The piezoelectric unimorph circular diaphragm is a valuable configuration in many applications of smart structures and smart martials. Piezoelectric energy harvesting, sensing and actuating in a pressure-load system are main applications of this configuration. Structural optimization could be used to improve the performance of this configuration. In this paper, a piezoelectric unimorph energy harvester is considered for capturing energy from pressure fluctuations of a system and converting it to electrical energy. This theoretical study includes comprehensive analytical modeling followed by a parametric study to optimize the polarization boundary of a clamped piezoelectric circular diaphragm. The results indicate that by considering the generated electric field along the diameter of the piezoelectric layer, the location of zero-strain points is found to be dependent on the radii of both the piezoelectric layer and substrate. Moreover, it is observed that these points are almost independent of the thicknesses of the layers and external pressure load. Changes of these parameters can only shift the amplitude of the generated electric field to higher or lower values. The results confirm that the derived closed-form equation for the electric field in Z direction along the diameter of the piezoelectric disc is worthwhile for further investigation in this field.

中文翻译：

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寻找最佳极化边界线以提高夹紧压电圆板的性能

摘要 压电单压电晶片圆形振膜在智能结构和智能武术的许多应用中是一种有价值的配置。压力负载系统中的压电能量收集、传感和驱动是这种配置的主要应用。结构优化可用于提高此配置的性能。在本文中，压电单压电晶片能量收集器被认为用于从系统的压力波动中捕获能量并将其转换为电能。该理论研究包括综合分析建模，然后是参数研究，以优化夹紧的压电圆形隔膜的极化边界。结果表明，通过考虑沿压电层直径产生的电场，发现零应变点的位置取决于压电层和基板的半径。此外，观察到这些点几乎与层的厚度和外部压力负载无关。这些参数的变化只能将产生的电场的幅度移动到更高或更低的值。结果证实，推导出的沿压电圆盘直径的 Z 方向电场的闭式方程值得在该领域进一步研究。这些参数的变化只能将产生的电场的幅度移动到更高或更低的值。结果证实，推导出的沿压电圆盘直径的 Z 方向电场的闭式方程值得在该领域进一步研究。这些参数的变化只能将产生的电场的幅度移动到更高或更低的值。结果证实，推导出的沿压电圆盘直径的 Z 方向电场的闭式方程值得在该领域进一步研究。