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
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SCHAEFFER, D
description 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.
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1095-7154
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source LOCUS - SIAM's Online Journal Archive
subjects Applied mathematics
Boundary conditions
Eigenvalues
Exact sciences and technology
Experiments
Function theory, analysis
Load
Mathematical methods in physics
Physics
Ratios
title Boundary conditions and mode jumping in the von Kármán equations
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