FREE VIBRATION STUDIES ON NON-HOMOGENEOUS CIRCULAR AND ANNULAR PLATES

Abstract

object of the work presented in this thesis is an attempt to study the free vibrational behaviour of isotropic/polar-orthotropic non-homogeneous circular and annular plates with various complicating effects such as thickness variation, elastic foundation, thermal gradient, shear deformation, rotatory inertia and elastically restrained edge. Very little work dealing with non-homogeneous plates is available in the literature. The model proposed herein to account for non-homogeneity of plate material is such that most of the earlier proposed models can be regarded as particular cases. The thesis -consists of nine chapters. Chapter I presents an up-to-date survey of literature on vibration of plates with various complicating effects. The remaining work from chapters II to IX is divided into two parts, A and B. Part A(chapters II to V), deals with isotropic plates, while part B(chapters VI to IX), deals with polar-orthotropic plates. Extensive numerical results for the frequencies and mode shapes for various values of plate parameters have been given in each chapter, which would be of interest to design engineers.........