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A variational approach to a problem of rotating rods

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Publication:2639706
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DOI10.1007/BF00375682zbMath0718.73100MaRDI QIDQ2639706

Jean Descloux, Philippe Clément

Publication date: 1991

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)


zbMATH Keywords

Bernoulli-Euler theory


Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Bifurcation and buckling (74G60) Optimization of other properties in solid mechanics (74P10)


Related Items (2)

A variational approach to a problem of rotating rods ⋮ Stability of a vertically positioned heavy rotating rod




Cites Work

  • On the rotating beam: Some theoretical and numerical results
  • A note on topological degree for potential operators
  • A nonlinear eigenvalue problem for rotating rods
  • Remarks on the bifurcation of solutions of a nonlinear eigenvalue problem
  • A variational approach to a problem of rotating rods
  • Large buckled states of rotating rods
  • On multiple positive solutions of nonlinear elliptic eigenvalue problems
  • Nonlinear Eigenvalue Problems for Some Fourth Order Equations. I: Maximal Solutions
  • Heavy rotating string—a nonlinear eigenvalue problem




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