Vibration Analysis of Annular Plates with Concentric Supports Using a Variant of Rayleigh-Ritz Method

Abstract

A variant of the Rayleigh-Ritz method is presented for solving the free vibration problem of annular plates with internal axisymmetric supports. The method is simple, accurate and may be readily programmed and run on a microcomputer. A comprehensive tabulation of the fundamental frequencies is presented for isotropic annular plates with an internal concentric support. Results for full circular plates with concentric supports are also obtained by making the inner radial edge free and permitting the inner radius to become very small. © 1993 Academic Press. All rights reserved.