Post-buckling of elastic annular plates at multiple eigenvalues

DOI10.1080/02681118808806048zbMath0672.73048OpenAlexW2069018694MaRDI QIDQ3826179

A. K. MacHinek, Hans Troger

Publication date: 1988

Published in: Dynamics and Stability of Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02681118808806048

zbMATH Keywords

Lyapunov-Schmidt methodRitz-Galerkin methodsymmetry propertiesbifurcation equationsvon Kármán plate equationsamplitude equations of the critical modesrestricted generic unfolding

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Bifurcation and buckling (74G60) Bifurcations in context of PDEs (35B32)

Related Items (1)

Postbuckling of a twisted prismatic rod under terminal thrust

Cites Work

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• Boundary conditions and mode jumping in the buckling of a rectangular plate
• A justification of the von Kármán equations
• Imperfect bifurcation in the presence of symmetry
• A Numerical Study of Mode Jumping of Rectangular Plates
• Buckling of a thin annular plate under uniform compression

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