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.
Journal ArticleDOI
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
References
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The stability of elastic equilibrium
TL;DR: In this article, a general theory of elastic stability is presented, augmented by an investigation of the buckled structure in the immediate neighborhood of the bifurcation point, which explains why some structures, such as a flat plate supported along its edges and subjected to thrust in its plane, are capable of carrying loads considerably above the buckling load, while other structures, e.g., an axially loaded cylindrical shell, collapse at loads far below the theoretical critical load.
Journal ArticleDOI
The Effect of an Axial Force on the Vibration of Hinged Bars
TL;DR: In this paper, it was shown that the vibration of an extensible bar, carrying no transverse load and having the ends fixed at the supports, causes an axial tensile force with a period equal to the half-period of the vibration.
Journal ArticleDOI
Large amplitude vibration of buckled beams and rectangular plates
TL;DR: For the case of similar flows in the plane of symmetry of an inclined axisymmetric body with zero streamwise pressure gradient and insulated walls, the following conditions prevail: e\ = 1, e» = r(x), KI = 0, ft = 0 and dgr/d^ = 0.
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Nonlinear free vibrations of elastic structures
TL;DR: In this article, an approach to nonlinear free vibrations of elastic structures is developed with the aid of Hamilton's principle and a perturbation procedure, analogous to the theory of initial postbuckling behavior due to Koiter.
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Non-linear vibrations of shallow circular cylindrical panels with complex geometry. Meshless discretization with the R-functions method
Galyna Pilgun,Marco Amabili +1 more