The torsional buckling and writhing of a simply supported rod hanging under gravity

DOI10.1016/S0020-7683(00)00043-3zbMath1004.74034OpenAlexW2069028724WikidataQ127663138 ScholiaQ127663138MaRDI QIDQ5926632

D. M. Stump, G. H. M. Van Der Heijden, Alan R. Champneys

Publication date: 6 February 2003

Published in: International Journal of Solids and Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0020-7683(00)00043-3

zbMATH Keywords

gravitysmall parameterfinite-length simply supported rodGreenhill buckling levelinner boundary layer solutionmatched asymptotic expansionsouter catenary-like solutionparabolic sagself-intersecting writhed shapesingular perturbation methodstangential twist

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Bifurcation and buckling (74G60)

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