考虑电压效应的四边形非经典微孔板元件

IF 1.8 4区 工程技术 Q3 ENGINEERING, MECHANICAL
Moharam Habibnejad Korayem, Rouzbeh Nouhi Hefzabad
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引用次数: 0

摘要

为研究压电多层板的弯曲和自由振动,引入了包含电压效应的四边形非经典 Mindlin 元素。开发该模型是为了研究存在电压效应的多层板。最初采用汉密尔顿原理来制定多层 Mindlin 板的运动方程,同时考虑尺寸和电压效应。运动方程通过伽勒金方法求解。所建议的元素是一个矩形元素,具有四个节点,每个节点有 15 个自由度,同时考虑了弯曲和拉伸变形。该元素满足 C0 连续性和 C1 弱连续性的要求,并包含尺寸和电压效应。实验和分析数据都对结果进行了检验。在研究电压效应时,发现刚度矩阵取决于电压的大小和符号。此外,研究还证明,与低模态相比,高模态的固有频率受电压变化的影响较小。最后,该模型与多层微悬臂的实验结果进行了比较。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A quadrilateral non-classical microplate element considering the voltage effect
A quadrilateral non-classical Mindlin element that incorporates voltage effects was introduced for examining the bending and free vibration of piezoelectric multilayer plates. The model was developed to examine multilayer plates in the presence of voltage effects. Hamilton’s principle was initially employed to formulate the equation of motion for a multilayer Mindlin plate, considering both size and voltage effects. The equations of motion were resolved through the Galerkin’s method. The suggested element is a rectangular element featuring four-nodes, each possessing 15 degrees of freedom, accounting for both bending and stretching deformations. This element meets the requirements for C0 continuity and C1 weak continuity, and incorporates size and voltage effects. The results were examined with both experimental and analytical data. Upon investigating the voltage effect, it was found that the stiffness matrix depends on both the magnitude and sign of the voltage. Furthermore, it has been demonstrated that the natural frequencies of higher modes are less affected by voltage variations compared to lower modes. In the end, the model was compared to experimental results obtained from a multilayer microcantilever.
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来源期刊
CiteScore
3.80
自引率
10.00%
发文量
625
审稿时长
4.3 months
期刊介绍: The Journal of Mechanical Engineering Science advances the understanding of both the fundamentals of engineering science and its application to the solution of challenges and problems in engineering.
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