Journal ArticleDOI
Three-dimensional vibrations of thick, linearly tapered, annular plates
J.-H. Kang,Arthur W. Leissa +1 more
TLDR
In this paper, the Ritz method is applied in a 3D analysis to obtain accurate frequencies for annular plates having any combination of free or fixed boundaries at both inner and outer edges.About:
This article is published in Journal of Sound and Vibration.The article was published on 1998-11-12. It has received 30 citations till now. The article focuses on the topics: Plate theory & Ritz method.read more
Citations
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Journal ArticleDOI
Exact vibration analysis of variable thickness thick annular isotropic and FGM plates
Elia Efraim,Moshe Eisenberger +1 more
TL;DR: In this paper, the effect of shear deformations using the first-order shear deformation theory is derived and solved exactly for various combinations of boundary conditions by using the exact element method.
Journal ArticleDOI
Natural frequencies and vibration modes of laminated composite plates reinforced with arbitrary curvilinear fiber shape paths
Shinya Honda,Yoshihiro Narita +1 more
TL;DR: In this article, the authors present an analytical method for determining natural frequencies and vibration modes of laminated plates having such curvilinear reinforcing fibers, and the results show that the natural frequencies obtained by the present method agree well with results from finite element analyses.
Journal ArticleDOI
Three-dimensional free vibration of variable thickness thick circular and annular isotropic and functionally graded plates on Pasternak foundation
TL;DR: In this paper, a study of three-dimensional free vibration analysis of thick circular and annular isotropic and functionally graded (FG) plates with variable thickness along the radial direction, resting on Pasternak foundation is described.
Journal ArticleDOI
The Rayleigh–Ritz method for linear dynamic, static and buckling behavior of beams, shells and plates: A literature review:
TL;DR: In this article, a comprehensive literature review on the application of the Rayleigh-Ritz method to analyze vibration, static and buckling characteristics of beams, shells and plates using different theories is presented.
Journal ArticleDOI
A Spectral-Tchebychev Solution for Three-Dimensional Vibrations of Parallelepipeds Under Mixed Boundary Conditions
TL;DR: In this article, a 3D spectral Tchebychev polynomials (3D-ST) approach was proposed to solve the boundary value problem of 3D parallelepipes with different boundary conditions.
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Elasticity solutions for free vibrations of annular plates from three-dimensional analysis
K.M. Liew,Bingen Yang +1 more