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Axisymmetric vibrations of non-homogeneous polar orthotropic annular plates of variable thickness

Journal of Sound and Vibration, 2004
In this study of the free axisymmetric vibrations of non-homogeneous polar orthotropic annular plates of exponentially varying thickness, on the basis of the classical theory of plates, the Chebyshev collocation technique has been employed to solve the differential equation governing the transverse motion of such plates.
Roshan Lal, Shuchita Sharma
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Vibration and stability of spinning polar orthotropic annular plates reinforced with edge beams

Journal of Sound and Vibration, 1979
Abstract In this paper, the frequencies and buckling loads for a radially compressed, spinning polar orthotropic annular plate with simply supported edge beams along the inner and outer edges are determined. The inner and outer edge beams are subjected to uniform radial loadings and the system spins at a constant angular velocity. The frequencies and
C.T. Dyka, J.F. Carney
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Buckling of polar orthotropic annular plates under internal radial load and torsion

International Journal of Mechanical Sciences, 1985
The buckling problem of clamped, polar orthotropic annular plates under internal radial load and torsion is studied theoretically with asymmetric modes taken into consideration. The problem is solved by means of the Galerkin method with the deflection function assumed in the form of cosine series in conjunction with a coordinate transformation.
Doki, H., Tani, J.
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Buckling of Polar Orthotropic Annular Plates Under Uniform Inplane Compressive Forces

Journal of Applied Mechanics, 1981
The problem of buckling of polar orthotropic annular plates under various types of inplane compressive forces along the radial edges has been analyzed in detail by the Rayleigh-Ritz method for eight different combinations of clamped, simply supported, and free boundary conditions.
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Inplane vibration analysis of polar orthotropic annular plates with parabolically varying thickness

Composite Structures, 1989
Abstract The natural frequencies of inplane vibration of polar orthotropic annular plates with parabolically varying thickness have been analysed. In the semianalytical method used, the radial and tangential displacements are expanded in the circumferential direction as a Fourier series and the radial behaviour is modelled by finite elements.
N. Ganesan, V. Soamidas
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Scaling laws for buckling of polar orthotropic annular plates subjected to compressive and torsional loading

Thin-Walled Structures, 2005
This paper derives the similitude invariants and scaling laws for buckling of polar orthotropic annular plates subjected to radial compressive load and torsional load. The similitude transformation is applied to the governing differential equation directly resulting in a scaling law for buckling load of annular plates and the similarity conditions ...
Pairod Singhatanadgid   +1 more
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Buckling and vibrations of polar orthotropic annular plates on elastic foundation subjected to hydrostatic peripheral loading

Journal of Sound and Vibration, 1986
An analysis is presented of the effect of hydrostatic peripheral loading and that of an elastic foundation on the natural frequencies of free axisymmetric vibrations and critical buckling parameter of linearly varying thickness annular plates exhibiting polar orthotropic characteristics, on the basis of classical plate theory. The numerical solution of
U.S. Gupta, R. Lal, C.P. Verma
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Transverse vibrations of polar orthotropic, annular plates elastically restrained against rotation along the edges

Fibre Science and Technology, 1981
Abstract The title problem is solved, in the case of axisymmetric modes, using polynomial coordinate functions which identically satisfy the boundary conditions. The Galerkin method is applied to generate a frequency determinant. Whenever it has been possible, the results have been compared with values existing in the open technical literature and ...
D.R. Avalos, P.A.A. Laura
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Natural frequencies of transverse vibration of polar orthotropic variable thickness annular plates

Journal of Sound and Vibration, 1983
Abstract The method of annular finite elements is applied to the case of varying thickness annular discs constructed of materials exhibiting polar orthotropic characteristics. The numerical convergence of the method is tested and comparisons are made with the corresponding results obtained in other studies. The method is applied specifically to polar
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