Journal ArticleDOI
Parametric analysis of large amplitude free vibrations of a suspended cable
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TLDR
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.About:
This article is published in International Journal of Solids and Structures.The article was published on 1984-01-01. It has received 79 citations till now. The article focuses on the topics: Vibration & Ordinary differential equation.read more
Citations
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Journal ArticleDOI
Nonlinear vibrations of suspended cables—Part I: Modeling and analysis
Journal ArticleDOI
Modal interactions in the non-linear response of elastic cables under parametric/external excitation
TL;DR: In this article, a two-degree-of-freedom approximation of the model is employed to examine a class of in-plane/out-ofplane motions that are coupled through the quadratic nonlinearities.
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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.
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Nonlinear vibrations of suspended cables—Part II: Deterministic phenomena
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Nonlinear oscillations of suspended cables containing a two-to-one internal resonance
TL;DR: In this article, the near-resonant response of suspended, elastic cables driven by planar excitation is investigated using a two degree-of-fredom model, which captures the interaction of a symmetric in-plane mode and an out-ofplane mode with near commensurable natural frequencies in a 2:1 ratio.
References
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Journal ArticleDOI
On the non-linear vibration problem of the elastic string
Journal ArticleDOI
On non-linear free vibrations of an elastic cable
Peter Hagedorn,B. Schäfer +1 more
TL;DR: In this paper, the effect of non-linear terms in the equations of motion on the first normal modes of the oscillations of an elastic flexible cable under the action of gravity is studied.
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Nonlinear Vibrations of a Hinged Beam Including Nonlinear Inertia Effects
TL;DR: In this paper, the large amplitude transverse vibration of a hinged beam with no axial restraints and which has arbitrary initial conditions of motion was treated, and the general response and frequency-amplitude relations were derived theoretically.
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Monofrequent oscillations of a non-linear model of a suspended cable.
TL;DR: In this paper, the effects of non-linearities on the free motion of a suspended cable were analyzed in a two-degree-of-freedom nonlinear elastic model and the possibility that effects arise due to nonlinear coupling was examined, and a numerical analysis was made for the first symmetric mode for different amplitude of motion by parametrically varying the geometric and mechanical properties of the cable.
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Natural vibrations of suspended cables with flexible supports.
Giuseppe Rega,Angelo Luongo +1 more
TL;DR: In this article, a finite difference algorithm is applied to the study of in-plane natural vibrations of an inextensible cable with symmetric movable supports, where the main results regarding the influence of the elastic cable parameters, reported by earlier investigators, are obtained by lumping the cable flexibility at the supports.