Elastic equilibria of translating cables
type: Item
instance of: scholarly article
title: Elastic equilibria of translating cables
zbMATH Open document ID: 0847.73024
DOI: 10.1007/BF01177338
author: Oliver M. O'Reilly
author: Peter C. Varadi
published in: Acta Mechanica
publication date: 1996-05-22T00:00:00Z
review text: The equations of motion describing the nonlinear behavior of a perfectly flexible travelling cable are derived from first principles. Influences due to changes in the cross-sectional area of the cable and mass conservation are included. A homogeneous isotropic nonlinearly elastic cable material is assumed, and the qualitative nature of a class of its equilibria is analyzed. The dependence of this equilibrium on the constitutive equations and the translational speed is discussed.
Mathematics Subject Classification ID: 74H55
Mathematics Subject Classification ID: 74K99
Mathematics Subject Classification ID: 74B20
zbMATH DE Number: 880760
zbMATH Keywords: changes in cross-sectional area
zbMATH Keywords: homogeneous isotropic nonlinearly elastic material
zbMATH Keywords: gravitational loading
zbMATH Keywords: St. Venant-Kirchhoff material
zbMATH Keywords: inextensible material
zbMATH Keywords: perfectly flexible travelling cable
zbMATH Keywords: mass conservation
MaRDI profile type: Publication
cites work: On the amplitude dynamics and crisis in resonant motion of stretched strings
cites work: Global bifurcations in the forced vibration of a damped string
cites work: Planar nonlinear free vibrations of an elastic cable
cites work: Non-linear vibration of a traveling threadline
cites work: On the oscillatory motions of translating elastic cables
cites work: Q4023641
cites work: Q4039741
cites work: The Drawing and Whirling of Strings: Singular Global Multiparameter Bifurcation Problems
cites work: Q3281164
cites work: Regular and singular problems for large elastic deformations of tubes, wedges, and cylinders
full work available at URL: https://doi.org/10.1007/bf01177338
OpenAlex ID: W1986388282
description: scientific article; zbMATH DE number 880760