The nonlinear dynamics of filaments

DOI10.1023/A:1008366526875zbMath0985.74030OpenAlexW1541863883MaRDI QIDQ1573330

Alain Goriely, Michael Tabor

Publication date: 27 May 2002

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1008366526875

zbMATH Keywords

dispersion relationslinear stability analysisKirchhoff equationsamplitude equationsnonlinear stability analysislocalized structuresdynamical instabilityloopinginstability thresholdarc-length preserving perturbation schemefilament bucklingfilament dynamicsrods of circular cross-section

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Stability of dynamical problems in solid mechanics (74H55) Research exposition (monographs, survey articles) pertaining to mechanics of deformable solids (74-02)

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