Journal ArticleDOI
Finite element analysis of three-dimensional vibrations of thick circular and annular plates
C.-F. Liu,Y.-T. Lee +1 more
TLDR
In this paper, a finite element method for 3D vibration analysis of annular and circular plates is presented. But the method is different from the traditional 3D finite element analysis and is reduced to a sequence of 2-D analyses one for each circumferential wave number.About:
This article is published in Journal of Sound and Vibration.The article was published on 2000-05-25. It has received 57 citations till now. The article focuses on the topics: Mixed finite element method & Extended finite element method.read more
Citations
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Journal ArticleDOI
Asymmetric free vibrations of laminated annular cross-ply circular plates including the effects of shear deformation and rotary inertia: Spline method
TL;DR: In this article, the effect of shear deformation and rotary inertia on frequency parameter with respect to the circumferential node number, radii ratio and thickness to radius ratio for both symmetric and anti-symmetric cross-ply plates using various types of material properties.
Journal ArticleDOI
Effect of built-in edges on 3-D vibrational characteristics of thick circular plates
TL;DR: In this article, the vibrational properties of a cylindrical plate built into a rigid medium in the vicinity of the circumference are analyzed based on the exact, small-strain, three-dimensional linear elasticity theory.
Journal ArticleDOI
Free vibration of a functionally graded annular sector plate integrated with piezoelectric layers
A. Shahdadi,H. Rahnama +1 more
TL;DR: In this paper, the free vibration behavior of functionally graded (FG) annular sector plates integrated with piezoelectric layers is investigated based on the first order shear deformation theory.
Journal ArticleDOI
Shooting method for free vibration of FGM Reissner-Mindlin circular plates resting on elastic foundation in thermal environments
TL;DR: In this paper, a free vibration analysis of Reissner-mindlin circular plates with various supported boundaries in thermal environments was presented, and the effects of material gradient property, thickness ratio and boundary conditions on the natural frequencies were discussed in detail.
Journal ArticleDOI
Three-dimensional free vibration analysis of thick laminated circular plates
Sumit Khare,N. D. Mittal +1 more
TL;DR: In this paper, a numerical analysis regarding free vibration of thick laminated circular plates, having free, clamped as well as simply-supported boundary conditions at outer edges of plates is presented.
References
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Journal ArticleDOI
Natural Frequencies of Mindlin Circular Plates
T. Irie,Gen Yamada,S. Aomura +2 more
Journal ArticleDOI
Three-dimensional vibrations of thick circular and annular plates
J. So,Arthur W. Leissa +1 more
TL;DR: In this article, the Ritz method is applied in a three-dimensional analysis to obtain accurate frequencies for thick circular and annular plates, formulated in a manner which allows one to have any combination of free or fixed plate boundaries.
Journal ArticleDOI
Comparisons of vibration frequencies for rods and beams from one‐dimensional and three‐dimensional analyses
Arthur W. Leissa,Jinyoung So +1 more
TL;DR: In this paper, a method of 3D analysis for the free vibration frequencies and mode shapes of solid circular cylinders of elastic material was developed. But the method assumes for the three displacement components a Fourier series in the circumferential (θ) direction and algebraic polynomials in the radial (r) and axial (z) directions.
Journal ArticleDOI
Natural frequencies of free finite-length circular cylinders
G. M. L. Gladwell,D.K. Vijay +1 more
TL;DR: In this paper, a set of tables for the first five symmetric and first five antisymmetric modes of a hollow or solid cylinder for circumferential wave numbers n = 0, 1, 2 is given.
Journal ArticleDOI
Accurate vibration frequencies of circular cylinders from three‐dimensional analysis
Arthur W. Leissa,Jinyoung So +1 more
TL;DR: In this article, the first known values of frequencies from 3D analysis of cylinders having one end fixed, with all other boundaries free, are also presented in considerable detail, compared with less accurate 3D results published previously by other researchers.