Journal ArticleDOI
Non-linear flexural vibrations of anisotropic skew plates
Gangan Prathap,T.K. Varadan +1 more
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In this article, the large amplitude free flexural vibrations of thin, elastic anisotropic skew plates are studied by using the von Karman field equations in which the governing non-linear dynamic equations are derived in terms of the stress function and the lateral displacement.About:
This article is published in Journal of Sound and Vibration.The article was published on 1979-04-08. It has received 14 citations till now. The article focuses on the topics: Skew & Orthotropic material.read more
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Nonlinear vibration of symmetrically laminated composite skew plates by finite element method
Maloy Kumar Singha,Rupesh Daripa +1 more
Abstract: Here, the large amplitude free flexural vibration behavior of symmetrically laminated composite skew plates is investigated using the finite element method. The formulation includes the effects of shear deformation, in-plane and rotary inertia. The geometric non-linearity based on von Karman's assumptions is introduced. The nonlinear matrix amplitude equation obtained by employing Galerkin's method is solved by direct iteration technique. Time history for the nonlinear free vibration of composite skew plate is also obtained using Newmark's time integration technique to examine the accuracy of matrix amplitude equation. The variation of nonlinear frequency ratios with amplitudes is brought out considering different parameters such as skew angle, fiber orientation and boundary condition.
Journal ArticleDOI
Differential quadrature large amplitude free vibration analysis of laminated skew plates based on FSDT
TL;DR: In this paper, a nonlinear free vibration analysis of thin-to-moderately thick laminated composite skew plates is presented based on the first order shear deformation theory (FSDT) using differential quadrature method (DQM).
Journal ArticleDOI
A differential quadrature nonlinear free vibration analysis of laminated composite skew thin plates
TL;DR: Using a differential quadrature (DQ) method, large amplitude free vibration analysis of laminated composite skew thin plates is presented in this paper, where the governing equations are based on the thin plate theory (TPT) and the geometrical nonlinearity is modeled using Green's strain in conjunction with von Karman assumptions.
Journal ArticleDOI
Large amplitude free flexural vibrations of laminated composite skew plates
Maloy Kumar Singha,M. Ganapathi +1 more
TL;DR: In this paper, the large amplitude free flexural vibration behaviors of thin laminated composite skew plates are investigated using finite element approach, which includes the effects of shear deformation, in-plane and rotary inertia.
Journal ArticleDOI
Large-amplitude dynamic analysis of simply supported skew plates by a variational method
TL;DR: In this paper, a large-amplitude free vibration analysis of simply supported thin isotropic skew plates is presented, in which the displacement fields are assumed as a combination of orthogonal polynomial or transcendental functions, each satisfying the corresponding boundary conditions of the plate.
References
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Journal ArticleDOI
Influence of Large Amplitudes on Flexural Vibrations of Elastic Plates
TL;DR: In this paper, approximate solutions for the nonlinear bending vibrations of thin plates are presented for the cases of rectangular and circular plates subjected to various boundary conditions, and the effects of large amplitudes on both the free and forced vibrations are clarified.
Journal ArticleDOI
Influence of Large Amplitudes on Free Flexural Vibrations of Rectangular Elastic Plates
Hu-Nan Chu,George Herrmann +1 more
Journal ArticleDOI
Large amplitude flexural vibration of rectangular plates
TL;DR: By using an approximate formulation due to Berger, it was shown that the vibration of rectangular plates with large amplitudes may be treated in a simple and unified manner as mentioned in this paper, and numerical results were given for various boundary conditions.
Journal ArticleDOI
On certain inconsistencies in berger equations for large deflections of plastic plates
J.L. Nowinski,H. Ohnabe +1 more
TL;DR: In this article, it is shown that the method may lead to grave inaccuracies and even become meaningless if the edge of the plate is free to move in in-plane directions.
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Large amplitude free flexural vibrations of laminated composite skew plates
Maloy Kumar Singha,M. Ganapathi +1 more