Journal ArticleDOI
Buckling and vibrations of polar orthotropic annular plates of variable thickness
U.S. Gupta,Roshan Lal,C.P. Verma +2 more
TLDR
In this article, the effect of an hydrostatic in-plane force, together with the orthotropy, on the axisymmetric vibrations of an annular plate of linearly varying thickness in the radial direction has been analyzed on the basis of classical theory of plates.About:
This article is published in Journal of Sound and Vibration.The article was published on 1986-02-08. It has received 18 citations till now. The article focuses on the topics: Plate theory & Buckling.read more
Citations
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Journal ArticleDOI
On the lateral vibration of thin annular and circular composite plates subject to certain complicating effects
C.S. Kim,S.M. Dickinson +1 more
TL;DR: In this paper, a series of orthogonally generated polynomial functions are used in the Rayleigh-Ritz method to obtain an eigenvalue equation for the flexural vibration of thin, flat annular and circular plates.
Journal ArticleDOI
Buckling of plates with variable thickness—an analog equation solution
TL;DR: In this paper, the analog equation method was applied to buckling analysis of plates with variable thicknss, where the displacement and its derivatives in the fourth order partial differential equation with variable coefficients were expressed in terms of a fictitious load which was established from the integral equation solution of an adjoint analog equation.
Journal ArticleDOI
A selective review of direct, semi-inverse and inverse eigenvalue problems for structures described by differential equations with variable coefficients
TL;DR: In this article, a selective review of boundary value problems has been presented, with emphasis on the word "selective", which gives only a taste of extensive research that has been conducted since 1759 when Leonhard Euler posed, apparently for the first time, a boundary value problem.
Journal ArticleDOI
Finite element analysis of the lateral vibration of thin annular and circular plates with variable thickness
Dian-Yun Chen,Bao-Sheng Ren +1 more
TL;DR: In this paper, a method of annular finite elements with variable thickness is applied for analyzing the lateral vibration of thin annular and circular plates, where the material of the plates may be of isotropic or polar orthotropic and the plate thickness may vary arbitrarily with the radius.
Journal ArticleDOI
Free vibration of cracked FGM plates with variable thickness resting on elastic foundations
TL;DR: In this paper, Shi's high-order shear deformation theory is introduced to compute the free vibration of the cracked functionally graded material (FGM) plates according to the power law resting on Pasternak elastic foundations.
References
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Journal ArticleDOI
Literature Review : Plate Vibration Research, 1976 - 1980: Complicating Effects
Journal ArticleDOI
Natural frequencies of polar orthotropic annular plates
G.K. Ramaiah,K. Vijayakumar +1 more
TL;DR: In this paper, the authors used the Rayleigh-Ritz method with simple polynomials as admissible functions for obtaining natural frequencies of transversely vibrating polar orthotropic annular plates.
Journal ArticleDOI
Natural frequencies of transverse vibration of polar orthotropic variable thickness annular plates
TL;DR: In this paper, the method of annular finite elements is applied to the case of varying thickness annular discs constructed of materials exhibiting polar orthotropic characteristics, and the numerical convergence of the method is tested and comparisons are made with the corresponding results obtained in other studies.
Journal ArticleDOI
Vibration analysis of polar orthotropic annular discs
TL;DR: In this article, the vibrating modes of an annular orthotropic disc were analyzed using a finite element program, while the experimental analysis was based on real time and time average holographic interferometry.
Related Papers (5)
Buckling and vibrations of polar orthotropic annular plates on elastic foundation subjected to hydrostatic peripheral loading
U.S. Gupta,Roshan Lal,C.P. Verma +2 more
Natural frequencies of transverse vibration of polar orthotropic variable thickness annular plates
Axisymmetric vibrations of polar orthotropic annular plates of variable thickness
R. Lal,U.S. Gupta +1 more