Stability of an extensible rotating rod

DOI10.1007/BF01141995zbMath0762.73033OpenAlexW2014381176MaRDI QIDQ1204005

M. Achenbach, Teodor M. Atanacković

Publication date: 18 February 1993

Published in: Continuum Mechanics and Thermodynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01141995

zbMATH Keywords

deflectionbifurcationlinearized equationsunfoldingcritical rotation speedrotating, linearly elastic rod

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Stability of dynamical problems in solid mechanics (74H55)

Related Items (3)

Bifurcation analysis of the rotating axially compressed nano‐rod with imperfections ⋮ Effect of shear on stability and nonlinear behavior of a rotating rod ⋮ The influence of shear and extensibility on the stability of a heavy rotating rod

Cites Work

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• Buckling of rotating compressed rods
• Singularities and groups in bifurcation theory. Volume I
• A nonlinear eigenvalue problem for rotating rods
• Remarks on the bifurcation of solutions of a nonlinear eigenvalue problem
• ESTIMATES OF MAXIMUM DEFLECTION FOR A ROTATING ROD
• Stability of rotating compressed rod with imperfections
• ON THE BIFURCATION SOLUTIONS OF AN AXIALLY ROTATING ROD
• General solutions for plane extensible elasticae having nonlinear stress-strain laws

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