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首页> 外文期刊>International Journal of Solids and Structures >Static analysis for multi-layered piezoelectric cantilevers
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Static analysis for multi-layered piezoelectric cantilevers

机译：多层压电悬臂梁的静态分析

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Taking the bonding layers and electrodes into account, the multi-layered piezoelectric cantilevers are studied based on the theory of elasticity. Different from the traditional investigations based on the elementary theory of elasticity, the Airy stress function method is used in the present paper. The stress function and induction function are proposed and determined, and then the exact solutions of the static governing equations are found. The material properties and thickness of different layers may be different in the present investigations. As two special cases, the exact static solutions for both unimorph and bimorph are directly obtained by using the present general solutions. The exact solutions obtained in the present paper are compared with the numerical results and others' investigations, and good agreements are found. In addition, the effects of the properties of both bonding layers and electrodes are discussed. Moreover, the present solution can be used for function graded piezoelectric cantilever beams when the thickness of each bonding layer is taken as zero. (C) 2007 Elsevier Ltd. All rights reserved.
机译：考虑到结合层和电极，基于弹性理论研究了多层压电悬臂梁。与基于弹性基本理论的传统研究不同，本文使用了艾里应力函数法。提出并确定了应力函数和归纳函数，然后找到了静态控制方程的精确解。在本研究中，不同层的材料特性和厚度可能不同。作为两个特殊情况，可以通过使用本一般解直接获得unimorph和bimorph的精确静态解。将本文获得的精确解与数值结果和其他人的研究进行了比较，并找到了很好的协议。另外，讨论了粘合层和电极的性质的影响。而且，当每个粘结层的厚度为零时，本解决方案可以用于功能梯度压电悬臂梁。 （C）2007 Elsevier Ltd.保留所有权利。

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