Accurate approximate and analytical methods for vibration and bending problems of plates: a literature survey

Abstract

Three types of both accurate approximate and analytical solution methods, namely, the Rayleigh-Ritz method, the superposition method, and the integral transform method, that have been used with considerable success to solve many problems of plate having stress singularities either vibration or static bending problems are dealt with in this paper with emphasis on explaining the details of each method. In additions, some problems of plate that have been solved efficiently by these mentioned methods are also explored and reviewed.