3D free vibration analysis of cross-ply laminated plates with one pair of opposite edges simply supported

被引：77

作者：

Chen, WQ ^{[1
]}

Lüe, CF

机构：

[1] Zhejiang Univ, Dept Civil Engn, Hangzhou 310027, Peoples R China

[2] Zhejiang Univ, State Key Lab CAD & CG, Hangzhou 310027, Peoples R China

来源：

COMPOSITE STRUCTURES | 2005年 / 69卷 / 01期

基金：

中国国家自然科学基金;

关键词：

three-dimensional theory of elasticity; differential quadrature; cross-ply laminated rectangular plates; free vibration;

D O I：

10.1016/j.compstruct.2004.05.015

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

On the basis of the three-dimensional theory of elasticity, a semi-analytical method, which combines the state space approach with the technique of differential quadrature, is developed for free vibration of a cross-ply laminated composite rectangular plate. The plate is assumed to be simply supported at one pair of opposite edges such that trigonometric functions expansion can be used to satisfy the boundary conditions precisely at these two edges. The technique of differential quadrature is then incorporated into the state equation, which enables one to obtain a general solution for orthotropic laminates with arbitrary boundary conditions at the other pair of opposite edges. The method is verified by comparing the present results with the exact elasticity solution for a simply supported plate. Further numerical calculations are carried out and effects of some parameters on natural frequency are discussed. (c) 2004 Elsevier Ltd. All rights reserved.

引用

页码：77 / 87

页数：11

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