Vibration Characteristics of Functionally Graded Plates with Non-Ideal Boundary Conditions

被引：9
|
作者：
Najafizadeh, M. M. [1 ]
Mohammadi, J. [2 ]
Khazaeinejad, P. [1 ]
机构：
[1] Islamic Azad Univ, Dept Mech Engn, Arak Branch, Arak 38135567, Iran
[2] Islamic Azad Univ, Andisheh Branch, Sama Tech & Vocat Training Coll, Andisheh, Iran
来源：
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES | 2012年 / 19卷 / 07期
关键词：
vibration; natural frequencies; functionally graded plates; non-ideal boundary conditions; perturbation; HIGHER-ORDER SHEAR; RECTANGULAR-PLATES; FREQUENCIES; SUPPORT; BEAMS;
D O I：
10.1080/15376494.2011.563407
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
An analytical investigation is carried out to determine the vibration behavior of functionally graded plates with non-ideal boundary conditions. The plate has three edges simply supported while the other edge has a small non-zero deflection and moment. The effective material properties are estimated by the Mori-Tanaka scheme. The classical plate theory is employed to obtain the frequency equation. The proposed analytical solution involves the Levy method and Lindstedt-Poincare perturbation technique. Results are presented for various functionally graded beams, showing the vibration frequencies, and mode shapes are influenced by the aspect ratio, volume fraction index, and edge support conditions.
引用
收藏
页码：543 / 550
页数：8
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