Nonlinear free vibration analysis of clamped circular fiber metal laminated plates

被引：0

作者：

Shooshtari, A. ^{[1
]}

Dalir, M. Asadi ^{[1
]}

机构：

[1] Bu Ali Sina Univ, Dept Mech Engn, Hamadan, Iran

来源：

SCIENTIA IRANICA | 2015年 / 22卷 / 03期

关键词：

First order shear deformation theory; Nonlinear vibrations; Circular FML plate; Multiple time scales method; THIN RECTANGULAR-PLATES; DIFFERENTIAL QUADRATURE; SHEAR DEFORMATION; COMPOSITE PLATES; ANNULAR PLATES; NATURAL FREQUENCIES; FORCED VIBRATIONS; HDQ;

D O I：

暂无

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Nonlinear free vibration of symmetric circular Fiber Metal Laminated (FML) hybrid plates is investigated. Considering the Von Karman geometric nonlinearity, the First order Shear Deformation Theory (FSDT) is used to obtain the equations of motion. For the first time, five equations of motion of circular FML plates are derived in terms of plate displacements. The obtained equations are simplified for analyzing the first mode of symmetric circular plates. Using the Galerkin method, five coupled nonlinear Partial Differential Equations (PDEs) of motion are transformed to a single nonlinear Ordinary Differential Equation (ODE), which is solved analytically by the multiple time scales method, and an analytical relation is found for the nonlinear frequency of these plates. The obtained results are compared with the published results and good agreement is found. Moreover, the effects of several parameters on linear and nonlinear frequencies and the free vibration response are investigated. (C) 2015 Sharif University of Technology. All rights reserved.

引用

页码：813 / 824

页数：12

共 44 条

[41] Asymmetric free vibrations of laminated annular cross-ply circular plates including the effects of shear deformation and rotary inertia: spline method [J].