Journal ArticleDOI
The flexural vibration of thin isotropic and polar orthotropic annular and circular plates with elastically restrained peripheries
C.S. Kim,S.M. Dickinson +1 more
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This article is published in Journal of Sound and Vibration.The article was published on 1990-11-01. It has received 31 citations till now. The article focuses on the topics: Orthotropic material & Isotropy.read more
Citations
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Journal ArticleDOI
In-plane free vibration of circular annular disks
TL;DR: In this article, a generalized formulation for the in-plane modal characteristics of circular annular disks under combinations of all possible classical boundary conditions is presented, and the natural frequencies are tabulated and compared with data available in the literature.
Journal ArticleDOI
Buckling and vibration of polar orthotropic circular plate resting on Winkler foundation
TL;DR: Buckling and vibrational behavior of polar orthotropic circular plates of linearly varying thickness is presented on the basis of classical plate theory in this article, where the plate is resting on Winkler-type foundation.
Journal ArticleDOI
Natural frequencies of circular and annular plates with radial or circumferential cracks
TL;DR: In this article, a Ritz solution is presented for the determination of the natural frequencies of free vibration of circular and annular plates with radial or circumferential cracks or slits through the full thickness.
Journal ArticleDOI
Effect of elastic foundation on asymmetric vibration of polar orthotropic linearly tapered circular plates
U.S. Gupta,A.H. Ansari +1 more
TL;DR: In this article, the Ritz method has been employed to obtain the natural frequencies of vibration using the functions based upon the static deflection of polar orthotropic plates, which has faster rate of convergence as compared to the polynomial co-ordinate functions.
Journal ArticleDOI
Buckling of circular plate with foundation and elastic edge
TL;DR: In this article, the stability of a circular plate with foundation and elastic edge against translation and rotation was investigated and exact solution was utilized for development of governing equation for the problem under consideration.
References
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Journal ArticleDOI
Comments on «natural frequencies of rectangular plates using characteristic orthogonal polynomials in Rayleigh-Ritz method»
TL;DR: In this paper, a set of beam characteristic orthogonal polynomials in the Rayleigh-Ritz method was used to obtain the natural frequencies of rectangular plates. But the results for lower modes were not as good as those obtained by other methods.
Journal ArticleDOI
Natural frequencies of rectangular plates using characteristic orthogonal polynomials in rayleigh-ritz method
TL;DR: In this article, a set of beam characteristic orthogonal polynomials in the Rayleigh-Ritz method was used to obtain the natural frequencies of rectangular plates. But the results for lower modes were not as good as those obtained by other methods.
Journal ArticleDOI
On the use of orthogonal polynomials in the Rayleigh-Ritz method for the study of the flexural vibration and buckling of isotropic and orthotropic rectangular plates
S.M. Dickinson,A. Di Blasio +1 more
TL;DR: In this article, orthogonal polynomial functions are used in the Rayleigh-Ritz method to generate results for a number of flexural vibration and buckling problems for rectangular isotropic and orthotropic plates.
Journal ArticleDOI
Natural Frequencies of Transversely Vibrating Uniform Annular Plates
S. M. Vogel,D. W. Skinner +1 more
Journal ArticleDOI
The flexural vibration of rectangular plates with point supports
C.S. Kim,S.M. Dickinson +1 more
TL;DR: In this article, orthogonally generated polynomial functions are used in the Lagrangian multiplier method to study the free, flexural vibration problem of point supported, thin, flat, rectangular plates.