Journal ArticleDOI
On asymptotic solutions to the non-linear vibrations of curved elements
G. Prathap,K.A.V. Pandalai +1 more
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This article is published in Journal of Sound and Vibration.The article was published on 1978-06-08. It has received 5 citations till now. The article focuses on the topics: Method of matched asymptotic expansions & Asymptotic analysis.read more
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Planar non-linear free vibrations of an elastic cable
TL;DR: In this paper, a non-linear equation of the free motion of a heavy elastic cable about a deformed initial configuration is developed, which is obtained via a Galerkin procedure, an approximate solution is pursued through a perturbation method.
Journal ArticleDOI
Parametric analysis of large amplitude free vibrations of a suspended cable
TL;DR: Partial differential equations of motion suitable to study moderately large free oscillations of an clastic suspended cable arc are obtained in this paper, where an integral procedure is used to eliminate the spatial dependence and to reduce the problem to one ordinary differential equation which shows quadratic and cubic nonlincarities.
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Large amplitude free flexural vibrations of functionally graded graphene platelets reinforced porous composite curved beams using finite element based on trigonometric shear deformation theory
TL;DR: In this article, the large amplitude free flexural vibration characteristics of fairly thick and thin functionally graded graphene platelets reinforced porous curved composite beams are investigated using finite element approach, which includes the influence of shear deformation which is represented through trigonometric function and it accounts for in-plane and rotary inertia effects.
Journal ArticleDOI
Application of spline element for large-amplitude free vibrations of laminated orthotropic straight/curved beams
TL;DR: In this article, the nonlinear free flexural vibrations of isotropic/laminated orthotropic straight/curved beams have been studied using a cubic B-spline shear flexible curved element, based on the field consistency principle.
Journal ArticleDOI
On large-amplitude vibrations of cables
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