Elastic equilibria of translating cables

DOI10.1007/BF01177338zbMath0847.73024OpenAlexW1986388282MaRDI QIDQ1913033

Oliver M. O'Reilly, Peter C. Varadi

Publication date: 22 May 1996

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01177338

zbMATH Keywords

mass conservationSt. Venant-Kirchhoff materialgravitational loadingchanges in cross-sectional areahomogeneous isotropic nonlinearly elastic materialinextensible materialperfectly flexible travelling cable

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Stability of dynamical problems in solid mechanics (74H55) Thin bodies, structures (74K99)

Related Items (2)

An exact, closed-form solution for equilibrium of traveling, sagged, elastic cables under uniformly distributed loading ⋮ A Nonlinear Theory for Traveling and Spinning, Sagged, Elastic Cables

Cites Work

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• Regular and singular problems for large elastic deformations of tubes, wedges, and cylinders
• Planar nonlinear free vibrations of an elastic cable
• Global bifurcations in the forced vibration of a damped string
• Non-linear vibration of a traveling threadline
• The Drawing and Whirling of Strings: Singular Global Multiparameter Bifurcation Problems
• On the amplitude dynamics and crisis in resonant motion of stretched strings
• On the oscillatory motions of translating elastic cables

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