Modal coupling in the free nonplanar finite motion of an elastic cable
type: Item
instance of: scholarly article
title: Modal coupling in the free nonplanar finite motion of an elastic cable
zbMATH Open document ID: 0647.73031
DOI: 10.1007/BF01556315
author: F. Benedettini
author: G. Rega
author: Fabrizio Vestroni
published in: Meccanica
publication date: 1986-01-01T00:00:00Z
review text: In the finite motions of a suspended elastic cable the in-plane and out- of-plane oscillations are coupled, which is in contrast with what is predicted by the theory of small oscillations. To study the phenomenon of nonlinear coupling, a simple but meaningful two degree-of-freedom model is refered to, one parameter being used to describe the in-plane motion and the other the out-of-plane motion. The solution of the dynamic equilibrium equations is accomplished by an perturbational expansion of order three, which furnishes the time solution of the two displacement parameters. The modification of the free oscillations due to the exchange of energy between the two modes in absence of internal resonance is studied for different initial conditions and the effect of modal coupling is proven.
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 74K05
zbMATH DE Number: 4057136
zbMATH Keywords: finite motions
zbMATH Keywords: suspended elastic cable
zbMATH Keywords: out-of-plane oscillations
zbMATH Keywords: small oscillations
zbMATH Keywords: nonlinear coupling
zbMATH Keywords: two degree-of-freedom model
zbMATH Keywords: in-plane motion
zbMATH Keywords: dynamic equilibrium equations
zbMATH Keywords: perturbational expansion of order three
zbMATH Keywords: free oscillations
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4057136