Twisted axially loaded rod with shear and compressibility

DOI10.1007/BF01274242zbMath0877.73026OpenAlexW1988556036MaRDI QIDQ1360512

Valentin B. Glavardanov, Teodor M. Atanacković

Publication date: 10 December 1997

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

Full work available at URL: https://doi.org/10.1007/bf01274242

zbMATH Keywords

bifurcationconstitutive equationsnonlinear system of equationslinearized system of equationsEuler method of adjacent equilibrium configurationLyapuov-Schmidt method

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Bifurcation and buckling (74G60)

Related Items (3)

Stability of a twisted and compressed clamped rod ⋮ Optimal shape of a twisted and compressed rod ⋮ Buckling of a twisted and compressed rod supported by Cardan joints

Cites Work

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• Stability of a compressible elastic rod with imperfections
• Large buckled states of nonlinearly elastic rods under torsion, thrust, and gravity
• Postbuckling of a twisted prismatic rod under terminal thrust
• Knickung gerader Stäbe durch Druck und konservative Torsion
• Classification of one-state-variable bifurcation problems up to codimension seven
• Nonlinear analysis of a twisted axially loaded elastic rod
• [https://portal.mardi4nfdi.de/wiki/Publication:5554231 R�umliche Verzweigungsprobleme des d�nnen elastischen Stabes mit endlichen Verformungen]
• [https://portal.mardi4nfdi.de/wiki/Publication:5811810 Stabilit�tsprobleme bei tordierten St�ben und Wellen]

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