Static iso-geometric analysis of piezoelectric functionally graded plate based on third-order shear deformation theory

被引：0
作者：
Liu T. [1 ,2 ]
Li C. [1 ]
Wang C. [2 ]
Jiang Y. [3 ]
Liu Q. [2 ]
机构：
[1] School of Mechatronic Engineering and Automation, Shanghai University, Shanghai
[2] School of Mechanical Engineering, Anhui University of Technology, Ma'anshan
[3] School of Innovative Education, Anhui University of Technology, Ma'anshan
来源：
Zhendong yu Chongji/Journal of Vibration and Shock | 2021年 / 40卷 / 01期
关键词：
Free vibration; Iso-geometric analysis; Piezoelectric functionally graded plate; Static bending; Third order shear deformation theory;
D O I：
10.13465/j.cnki.jvs.2021.01.011
中图分类号：
学科分类号：
摘要：
Aiming at the static problem of a piezoelectric functionally graded plate (PFGP), an iso-geometric analysis method based on the third order shear deformation theory was proposed. The material properties of PFGP were assumed to be a power function distribution along plate thickness, and its mechanical displacement field and electric potential field were assumed to be independent of each other. Firstly, using the second type constitutive equation of piezoelectric materials and Hamilton principle, the iso-geometric finite element equations of a PFGP were derived. Secondly, in its free vibration analysis, convergence and accuracy of the proposed method for PFGP's various mechanical boundary conditions were studied, and the effects of electrical boundary conditions, functional gradient index n, width to thickness ratio of functional gradient layer, and thickness ratio of functional gradient layer to piezoelectric layer on PFGP's natural frequencies were analyzed. Finally, static bending behaviors of PFGP under mechanical load, electrical load and electro-mechanical coupling condition were analyzed, respectively and a displacement feedback control law was used to realize a close-loop deformation control of PFGP. Several examples' results obtained with the proposed method were compared with those published in relevant literatures to demonstrate the reliability and accuracy of the proposed method. © 2021, Editorial Office of Journal of Vibration and Shock. All right reserved.
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页码：73 / 85
页数：12
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