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首页> 外文会议>International Conference on Mechanical Engineering and Mechanics vol.2; 20051026-28; Nanjing(CN) >The State Vector Methods for Three-dimensional Electroelastic Problems in Functionally Graded Piezoelectric Plates
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The State Vector Methods for Three-dimensional Electroelastic Problems in Functionally Graded Piezoelectric Plates

机译：功能梯度压电板中三维电弹性问题的状态向量法

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摘要

A considerable amount of research has been devoted to the development of piezoelectric devices which exhibit amplified electromechanical displacement. Many of these devices are bimorph-type actuators, in which piezoelectric layers are bonded to a thin metal sheet. In the case of a laminated or layered piezoelectric material the electroelastic properties change discontinuously at discrete surfaces. Recently, there has been growing interest in piezoelectric materials deliberately fabricated so that their electroelastic properties vary continuously in space on the macroscopic scale; these are thought to have some desirable properties for certain applications, and especially for performance under electromechanical loading. The functionally graded piezoelectric materials (FGPM) pose new challenges in terms of modeling, characterization and optimization from the point of view of electromechanical behavior, and find use in applications in smart structures and microelectromechanical systems. In this investigation, three-dimensional electroelastic formulation is developed to study the static response of rectangular functionally graded piezoelectric structures/plates. The electroelastric properties are assumed to vary linearly and nonlinearly in the thickness direction, and exact expressions for all relevant electroelastic variables are obtained through a state vector methodology. Numerical examples are presented and discussed for simply-supported bi-layer actuators with functionally graded piezoelectric layers under surface and/or internal electric potential loads. The bi-layer functionally graded piezoelectric actuator where the material properties increase toward the mid-plane exhibits high bending displacement. The normal and shear stresses within the actuators depend on the number of layers. The functionally graded material volume fraction exponent has also great influence on the bending displacement and internal stresses. The results presented are important in the design of new functionally graded piezoelectric materials.
机译：已经进行了大量的研究来开发表现出放大的机电位移的压电装置。这些装置中的许多是双压电晶片型致动器，其中压电层结合到薄金属板上。在层压或层叠的压电材料的情况下，电弹性性质在不连续的表面上不连续地变化。近来，人们对有意制造的压电材料越来越感兴趣，以使它们的电弹性在宏观尺度上在空间中连续变化。这些被认为对某些应用具有某些理想的性能，尤其是在机电负载下的性能。从机电行为的角度来看，功能梯度压电材料（FGPM）在建模，表征和优化方面提出了新的挑战，并在智能结构和微机电系统中的应用中得到了应用。在这项研究中，开发了三维电弹性公式来研究矩形功能梯度压电结构/板的静态响应。假定电弹性性质在厚度方向上线性和非线性变化，并且通过状态矢量方法获得所有相关电弹性变量的精确表达式。给出并讨论了在表面和/或内部电势负载下具有功能梯度压电层的简单支撑双层执行器的数值示例。材料性能朝着中平面增加的双层功能梯度压电致动器表现出高弯曲位移。致动器内的法向应力和剪切应力取决于层数。功能梯度材料的体积分数指数对弯曲位移和内应力也有很大的影响。提出的结果对新型功能梯度压电材料的设计很重要。

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