Boundary conditions and mode jumping in the von Kármán equations

Boundary conditions and mode jumping in the von Kármán equations

Mode jumping in the postbuckling response of a long rectangular plate is investigated with bifurcation theory methods near a double eigenvalue. It is found that mode jumping is predicted by the theory if clamped boundary conditions are imposed on the end faces of the plate, but not if simply support...

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Veröffentlicht in:SIAM journal on mathematical analysis 1984-05, Vol.15 (3), p.446-458
Hauptverfasser: HOLDER, E. J, SCHAEFFER, D
Format: Artikel
Sprache:eng
Schlagworte:
Applied mathematics
Boundary conditions
Eigenvalues
Exact sciences and technology
Experiments
Function theory, analysis
Load
Mathematical methods in physics
Physics
Ratios
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Beschreibung
Zusammenfassung:Mode jumping in the postbuckling response of a long rectangular plate is investigated with bifurcation theory methods near a double eigenvalue. It is found that mode jumping is predicted by the theory if clamped boundary conditions are imposed on the end faces of the plate, but not if simply supported boundary conditions are imposed.
ISSN:0036-1410
1095-7154
DOI:10.1137/0515034