The present paper deals with exact analysis of free lateral vibrations of annular plates with inner and outer edges elastically restrained and resting on Winkler type elastic foundation. Exact solution is obtained from the formulation based on the classical plate theory assumptions. The frequencies of the annular plate are computed for various values of elastic rotational and translational restraints, foundation restraint and radius of an annular plate and the results for the first three modes of the plate vibrations are presented in both graphical and tabular form suitable for use in design. The effect of varying values of rotational and translational restraints, foundation restraint and radius of the annular plate on the vibration behavior of annular plates is studied in detail. The exact frequencies of vibration presented in non-dimensional form can serve as benchmark values for researchers to validate their numerical methods when applied for such annular plate problems. © 2014 Elsevier Ltd.

Bhaskara Rao Lokavarapu

Mechanical

School of Mechanical Engineering

Chennai Campus

Rao C.K.

Vellore Institute of Technology (VIT) is a private university located in&nbsp;Tamil Nadu, India. Founded in 1984, as Vellore Engineering College, the institution offers 20 undergraduate, 34 postgraduate, four integrated and four research programs. It has campuses in Vellore, Amravati, Bhopal and Chennai.

VIT is one of the top ranked private universities in India according to NIRF, THE and QS Rankings.&nbsp;Govt. of India has recognized&nbsp;VIT, Vellore as an&nbsp;Institution of Eminence. This has allowed VIT to take independent quality initiatives and move up in world ranking.

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VIT University

International Journal of Mechanical Sciences

The present study deals with an exact analysis of free transverse vibrations of annular plates having small core and sliding inner edge and the outer edge being elastically restrained based on classical plate theory. This study focuses mainly on the influence of variations in the elastic restraint parameters on the fundamental frequencies of plate vibration. The natural frequencies for the first six modes of annular plate vibrations are computed for different materials and varying values of the radius parameter and these natural frequencies may correspond to either axisymmetric and/or non-axisymmetric modes of plate vibration. The extensive data of values of fundamental frequency parameter presented in this paper is believed to be of use in the design of acoustic underwater transducers, ocean and naval structures, compressor and pump elements, offshore platforms. These results may serve as bench mark values for researchers to validate their results obtained using approximate numerical methods. © 2016 Elsevier Ltd. All rights reserved.

Applied Acoustics

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

Challenge Journal of Structural Mechanics

Free vibration analysis of thick plates resting on Winkler elastic foundation

Mechanics Based Design of Structures and Machines

Fundamental Buckling of Annular Plates with Elastically Restrained Guided Edges Against Translation

Journal of Sound and Vibration

Frequency analysis of annular plates with elastic concentric supports by Green's function method

Examination of the fundamental frequencies of annular plates with small core

Frequency analysis of annular plates with inner and outer edges elastically restrained and resting on Winkler foundation

Journal	Data powered by TypesetInternational Journal of Mechanical Sciences
Publisher	Data powered by TypesetElsevier BV
ISSN	0020-7403
Open Access	0