Large deformations of a whirling elastic cable

DOI10.1007/BF01177171zbMath0732.73030OpenAlexW2023358523MaRDI QIDQ808764

Layne T. Watson, Chang Yi Wang

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1007/bf01177171

zbMATH Keywords

second orderquasi-Newtonhomotopy methodsBifurcationmatched asymptotic solutionsExact numerical solutionsPerturbation solutions

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Nonlinear elasticity (74B20) Strings (74K05)

Related Items

Analytical study of acceleration waves on a nonlinear, externally damped string

Uses Software

• minpack
• HOMPACK

Cites Work

• Unnamed Item
• A globally convergent algorithm for computing fixed points of \(C^2\) maps
• Rotating chain fixed at two points vertically above each other
• Whirling of a heavy string under constant axial tension: A non-linear eigenvalue problem
• Algorithm 652
• 12.—Spectral Theory of Rotating Chains
• Large Amplitude Whirling of an Elastic String–a Nonlinear Eigenvalue Problem