Effect of an elastic foundation on axisymmetric vibrations of polar orthotropic Mindlin circular plates
type: Item
instance of: scholarly article
title: Effect of an elastic foundation on axisymmetric vibrations of polar orthotropic Mindlin circular plates
zbMATH Open document ID: 0814.73035
author: U. S. Gupta
author: Ritu Sagar
author: R. Lal
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 1995-02-28T00:00:00Z
review text: Analysis and numerical results are presented for the axisymmetric vibrations of polar orthotropic circular plates of uniform thickness resting on an elastic foundation, according to Mindlin's shear theory of plates. A Chebyshev collocation technique has been employed to obtain the frequency equations for the transverse motion of such plates, for two different boundary conditions. The effect of the elastic foundation together with the orthotropy on the natural frequencies of vibration is illustrated for different values of thickness of the plate for the first three modes of vibration.
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 74S30
zbMATH DE Number: 727767
zbMATH Keywords: Mindlin's shear theory of plates
zbMATH Keywords: Chebyshev collocation technique
zbMATH Keywords: frequency equations
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 727767