Journal ArticleDOI
Non-linear flexural vibration of orthotropic skew plates
M. Sathyamoorthy,K.A.V. Pandalai +1 more
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In this article, the large amplitude (non-linear) free flexural vibration of thin, elastic, orthotropic skew plates clamped along all four edges was analyzed using the Galerkin's method.About:
This article is published in Journal of Sound and Vibration.The article was published on 1972-09-08. It has received 15 citations till now. The article focuses on the topics: Vibration of plates & Skew.read more
Citations
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Shear and rotatory inertia effects on large amplitude vibration of skew plates
TL;DR: In this article, the effects of transverse shear and rotatory inertia on the flexural vibration of elastic, isotropic skew plates were investigated and the influence of these effects on aspect ratios and skew angles of thin and moderately thick skew plates was investigated both at small and large amplitudes.
Journal ArticleDOI
Reduced basis technique for nonlinear vibration analysis of composite panels
TL;DR: In this article, a reduced basis technique and a computational procedure for the nonlinear free vibrations of composite panels are presented, which can be conveniently divided into two distinct steps: the first step involves the generation of various-order perturbation vectors using Linstedt-Poincare perturbations technique.
Journal ArticleDOI
Nonlinear Vibration of Elastic Skew Plates Exhibiting Rectilinear Orthotropy
M. Sathyamoorthy,K.A.V. Pandalai +1 more
TL;DR: In this article, the authors derived the governing equations for large amplitude flexural vibrations of orthotropic skew plates from the corresponding static equations derived in this paper, making use of an approximation originally due to Berger, corresponding simplified equations are also derived.
Journal ArticleDOI
Non-linear flexural vibrations of anisotropic skew plates
Gangan Prathap,T.K. Varadan +1 more
TL;DR: 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.
Journal ArticleDOI
Large amplitude flexural vibration of simply supported skew plates.
TL;DR: In this article, the Berger formulation was applied to the large amplitude flexural vibration of orthotropic skew plates in the Berger regime and the results were compared with those obtained without making use of the approximate formulation due to Berger.
References
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Large-amplitude oscillations of oblique panels with an initial curvature
TL;DR: In this article, the Von Karman field equations for flexible oblique plates with an initial curvature are extended to a dynamical case using series of initial and additional deflections and Galerkin's procedure, the governing equation for an admissible mode time function is established using this single assumed modal deflection, and assuming built-in edge fiee to move in the inplane directions.