A theoretical analysis of smart moderately thick shear deformable annular functionally graded plate

被引：91

作者：

Ebrahimi, F. ^{[1
]}

Rastgoo, A. ^{[1
]}

Atai, A. A. ^{[1
]}

机构：

[1] Univ Tehran, Fac Mech Engn, Coll Engn, Tehran 113654563, Iran

来源：

EUROPEAN JOURNAL OF MECHANICS A-SOLIDS | 2009年 / 28卷 / 05期

关键词：

Functionally graded annular plate; Piezoelectric layers; FGM PLATES; FREE-VIBRATION; PIEZOELECTRIC ACTUATORS; RECTANGULAR PLATE; OPTIMIZATION; EQUATIONS; AMPLITUDE; BEHAVIOR; SENSORS; SYSTEMS;

D O I：

10.1016/j.euromechsol.2008.12.008

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

Based on Mindlin's plate theory, free vibration analysis of moderately thick shear deformable annular functionally graded plate coupled with piezoelectric layers is presented in this paper. A consistent formulation that satisfies the Maxwell static electricity equation is presented so that the full coupling effect of the piezoelectric layer on the dynamic characteristics of the annular FGM plate can be estimated based on the free vibration results. The differential equations of motion are solved analytically for various boundary conditions of the plate through the transformation of variable method. The applicability of the proposed model is analyzed by studying the effect of varying the gradient index of FGM plate on the free vibration characteristics of the structure. For some specific cases, obtained results were cross checked with those existing literatures and furthermore, verified by those obtained from three-dimensional finite element (3D FE) analyses. (C) 2008 Elsevier Masson SAS. All rights reserved.

引用

页码：962 / 973

页数：12

共 37 条

[1] Vibration amplitude and thermal effects on the nonlinear behavior of thin circular functionally graded plates [J].