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Active vibration control of FGM plates with piezoelectric layers based on Reddy's higher-order shear deformation theory

机译：基于Reddy高阶剪切变形理论的压电层FGM板的主动振动控制

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Literature researching the active vibration control of functionally graded material (FGM) plates with piezoelectric layers using Reddy's higher-order shear deformation theory (HSDT) using any of the element-free methods does not exist. To the best of the authors' knowledge, this paper is the first to use Reddy's HSDT with the element-free IMLS-Ritz method to investigate this problem. In this study, seven mechanical degrees of freedom (DOF) and one additional electrical DOF are considered for each node of the discretized domain. The natural frequency results of two FGM plates with top and bottom piezoelectric layers are compared with the literature in terms of various electrical and mechanical boundary conditions, volume fraction exponent (n) and dimension ratios, with obvious agreement. Furthermore, parametric studies are performed, for the first time, to study the effects of mechanical boundary conditions, n value, FGM plate thickness-to-width ratio and piezoelectric layer thickness to FGM plate thickness ratio on the natural frequency increment between open and closed circuit conditions. For the purpose of active vibration control, a constant velocity feedback approach is utilized. The effectiveness of two proposed positions, of piezoelectric sensor and actuator layers, to control the vibration of FGM plates is investigated. (C) 2016 Published by Elsevier Ltd.
机译：尚无文献使用Reddy的高阶剪切变形理论（HSDT）和任何无元素方法来研究具有压电层的功能梯度材料（FGM）板的主动振动控制。据作者所知，本文是第一个将Reddy的HSDT与无元素IMLS-Ritz方法结合使用来研究此问题的方法。在这项研究中，对离散域的每个节点考虑了七个机械自由度（DOF）和一个附加的电气自由度。在各种电气和机械边界条件，体积分数指数（n）和尺寸比方面，将两个带有顶部和底部压电层的FGM板的固有频率结果与文献进行了比较，两者具有明显的一致性。此外，首次进行参数研究，以研究机械边界条件，n值，FGM板厚与宽度之比以及压电层厚度与FGM板厚度之比对打开和关闭之间的固有频率增量的影响电路条件。为了主动振动控制，采用了恒定速度反馈方法。研究了两个建议位置（压电传感器和执行器层）控制FGM板振动的有效性。 （C）2016由Elsevier Ltd.出版

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