AXISYMMETRIC VIBRATION OF POLAR ORTHOTROPIC CIRCULAR PLATES OF QUADRATICALLY VARYING THICKNESS RESTING ON ELASTIC FOUNDATION-Reference-Cited by-同舟云学术

AXISYMMETRIC VIBRATION OF POLAR ORTHOTROPIC CIRCULAR PLATES OF QUADRATICALLY VARYING THICKNESS RESTING ON ELASTIC FOUNDATION

Published:2005-09 Issue:03 Volume:05 Page:387-408
ISSN:0219-4554
Container-title:International Journal of Structural Stability and Dynamics
language:en
Short-container-title:Int. J. Str. Stab. Dyn.

Author:

BHARDWAJ N.¹,GUPTA A. P.²

Affiliation:

1. Department of Mathematics, I.I.T. Roorkee., Roorkee-247 667, India

2. Department of Computer Science, Institute of Technology and Management, Sector 23-Am Gurgaon-122 017, India

Abstract

This paper is concerned with the axisymmetric vibration problem of polar orthotropic circular plates of quadratically varying thickness and resting on an elastic foundation. The problem is solved by using the Rayleigh–Ritz method with boundary characteristic orthonormal polynomials for approximating the deflection function. Numerical results are computed for frequencies, nodal radii and mode shapes. Three-dimensional graphs are also plotted for the first four normal modes of axisymmetric vibration of plates with free, simply-supported and clamped edge conditions for various values of taper, orthotropy and foundation parameters.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Mechanical Engineering,Ocean Engineering,Aerospace Engineering,Building and Construction,Civil and Structural Engineering

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219455405001647

Reference51 articles.

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3. Literature Review : Plate Vibration Research, 1976 - 1980: Classical Theory

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