Free rotation of a circular ring about a diameter

DOI10.1007/BF00962612zbMath0505.73034OpenAlexW1995724479MaRDI QIDQ1836506

Layne T. Watson, Chang Yi Wang

Publication date: 1983

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00962612

zbMATH Keywords

deformationsquasi-Newtonhomotopy methodscircular ringexact numerical solutionmatched asymptotic expansions for large Jnon- dimensional parameter Jrotates about diameter in spaceseries expansion for small J

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Numerical integration (65D30)

Related Items (2)

Large deformations of rotating polygonal space structures ⋮ Globally convergent homotopy methods: A tutorial

Cites Work

• Unnamed Item
• A homotopy method applied to elastica problems
• A nonlinear eigenvalue problem for rotating rods
• Remarks on the bifurcation of solutions of a nonlinear eigenvalue problem
• Quasi-Newton Methods, Motivation and Theory

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