Natural Frequencies of Thick Annular Plates

Abstract

The natural frequencies of vibration based on the Mindlin plate theory are tabulated for uniform annular plates under nine combinations of boundary conditions.

Accurate free vibration analysis of thick laminated circular plates with attached rigid core

“…where K 2 is the shear correction factor and is usually taken to be equal to p 2 =12 for circular plates [10][11][12]. It should be pointed out that this value has been applied by some researchers for the free vibration analysis of laminated composite plates (e.g.…”

Free vibration and bending analysis of circular Mindlin plates using singular convolution method

“…Recently, Liew et al [47][48][49] and Han and Liew [39,43,50] applied differential quadrature method for vibration, bending and buckling analysis of circular plates. Yamada and co-workers [51] and Irie et al [51][52][53][54] have also studied free vibration of annular and circular plates. Some exact results are presented by Xiang [35,36].…”

An exact frequency analysis of annular plates with small core having elastically restrained outer edge and sliding inner edge

“…The fundamental frequency corresponds in general to the axisymmetric mode with no nodal diameter, and the plate with both edges free vibrates with two nodal diameters. Interestingly, the fundamental frequency may switch from no nodal diameter to one as the core radius is decreased for annular plates with their inner edge being either clamped or simply supported and the outer edge being free [5][6][7][8][9][10].…”