BUCKLING AND VIBRATION OF AN ANNULAR PLATE WITH EXPONENTIALLY VARYING THICKNESS AND DENSITY

Authors:

Anukul De ,Doyal Debnath,

DOI NO:

https://doi.org/10.26782/jmcms.2012.01.00002

Keywords:

annular plate,critical buckling loads, taper constant,

Abstract

The natural frequencies of an annular plate of exponentially varying thickness under the action of a hydrostatic in-plane force have been studied on the basis of the classical theory of plates. The governing differential equation has been obtained and solved. The effects of in-plane force parameter, radii ratio and taper constants on the frequency parameter have been investigated for two different boundary conditions. Critical buckling loads have been computed for different values of taper constant and radii ratio for both the plates.

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