NONLINEAR FLEXURAL VIBRATIONS OF RECTANGULAR-PLATES SUBJECTED TO INPLANE FORCES USING A NEW SHEAR DEFORMATION-THEORY

被引：13

作者：

BHIMARADDI, A

机构：

[1] Indian Inst of Technology, Bombay, India, Indian Inst of Technology, Bombay, India

来源：

THIN-WALLED STRUCTURES | 1987年 / 5卷 / 05期

关键词：

LAMINATED PRODUCTS - Deformation - MATHEMATICAL TECHNIQUES - Differential Equations - STRESSES - Shear;

D O I：

10.1016/0263-8231(87)90023-1

中图分类号：

TU [建筑科学];

学科分类号：

0813 ;

摘要：

Recently developed shear deformation theory is used to analyze large amplitude, flexural vibrations of laminated rectangular plates subject to in-plane forces. Single mode approach, in conjunction with the Galerkin method, is used to reduce the five coupled equilibrium equations to a single second order ordinary differential equation in time variable by ignoring certain inertia terms. This reduced equation involves quadratic and cubic nonlinearities, the solution of which is obtained by the method of Multiple Scales. Numerical results are presented in tabular form for various parameters of the rectangular plate considered.

引用

页码：309 / 327

页数：19