NONLINEAR SPATIAL EQUILIBRIA AND STABILITY OF CABLES UNDER UNIAXIAL TORQUE AND THRUST

Authors
Citation
Cl. Lu et Nc. Perkins, NONLINEAR SPATIAL EQUILIBRIA AND STABILITY OF CABLES UNDER UNIAXIAL TORQUE AND THRUST, Journal of applied mechanics, 61(4), 1994, pp. 879-886
Citations number
22
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Mechanics
Journal title
ISSN journal
0021-8936
Volume
61
Issue
4
Year of publication
1994
Pages
879 - 886
Database
ISI
SICI code
0021-8936(1994)61:4<879:NSEASO>2.0.ZU;2-L
Abstract
Low tension cables subject to torque may form complex three-dimensiona l (spatial) equilibria. The resulting nonlinear static deformations, w hich are dominated by cable flexure and torsion, may produce interior loops or kinks that can seriously degrade the performance of the cable . Using Kirchhoff rod assumptions, a theoretical model governing cable flexure and torsion is derived herein and used to analyze (1) globall y large equilibrium states, and (2) local equilibrium stability. For t he broad class of problems described by pure boundary loading, the equ ilibrium boundary value problem is integrable and admits closed-form e lliptic integral solutions. Attention is focused on the example proble m of a cable subject to uni-axial torque and thrust. Closed-form solut ions are presented for the complex three-dimensional equilibrium state s which, heretofore, were analyzed using purely numerical methods. Mor eover, the stability of these equilibrium stares is assessed and new a nd important stability conclusions are drawn.