Two-dimensional thin plates are widely used in many applications. Shunt damping is a promising way for the attenuation of vibration of these electromechanical systems. It enables a compact vibration damping method without adding significant mass and volumetric occupancy. Analyzing the dynamics of such electromechanical systems requires precise modeling tools that properly consider the coupling between the piezoelectric elements and the host structure. Although the concept of shunt damping has been studied extensively in the literature, most of the studies do not provide a formulation for modeling the multiple piezoelectric patches that are scattered on the host structure and shunted separately. This paper presents a methodology and a formulation for separately shunted piezoelectric patches for achieving higher performance on vibration attenuation. The Rayleigh-Ritz method is used for performing modal analysis and obtaining the frequency response functions of the electro-mechanical system. The developed model includes mass and stiffness contribution of the piezoelectric patches as well as the electromechanical coupling effect. In this study, the piezoelectric patches are shunted via separate electrical circuits and compared with the ones those are shunted via interconnected electrical circuits. For verification, system-level finite element simulations are performed in ANSYS software and compared with the analytical model results. An experimental setup is also built to validate the performance of the separately shunted piezoelectric patches. The effectiveness of the method is investigated for a broader range of frequencies and it was shown that separately shunted piezoelectric patches are more effective compared to connected for a wide range of frequencies.

中文翻译：

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薄板的多模压电分流阻尼器，具有分别分流的贴片阵列，方法和实验验证

二维薄板在许多应用中被广泛使用。分流阻尼是一种衰减这些机电系统振动的有前途的方法。它可以实现紧凑的减振方法，而不会增加大量的质量和体积占用率。分析此类机电系统的动力学需要精确的建模工具，这些工具应适当考虑压电元件与主体结构之间的耦合。尽管在文献中对分流阻尼的概念进行了广泛的研究，但是大多数研究都没有提供一个模型来建模散布在主体结构上并分别分流的多个压电贴片。本文提出了一种用于分流压电贴片的方法和公式，以实现更高的振动衰减性能。Rayleigh-Ritz方法用于执行模态分析并获得机电系统的频率响应函数。开发的模型包括压电贴片的质量和刚度贡献以及机电耦合效应。在这项研究中，压电贴片通过单独的电路分流，并与压电二极管通过互连的电路分流。为了验证，在ANSYS软件中进行了系统级的有限元模拟，并与分析模型的结果进行了比较。还建立了一个实验装置来验证单独分流的压电片的性能。