Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Unsymmetric wrinkling of circular plates

Authors: L. S. Cheo and Edward L. Reiss
Journal: Quart. Appl. Math. 31 (1973), 75-91
DOI: https://doi.org/10.1090/qam/99710
MathSciNet review: QAM99710
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Abstract: The branching of unsymmetric equilibrium states from axisymmetric equilibrium states for clamped circular plates subjected to a uniform edge thrust and a uniform lateral pressure is analyzed in this paper. The branching process is called wrinkling and the loads at which branching occurs are called wrinkling loads. The nonlinear von Kármán plate theory is employed. The wrinkling loads are determined by solving numerically the eigenvalue problem obtained by linearizing about a symmetric equilibrium state. The post-wrinkling behavior is studied by a perturbation expansion in the neighborhood of the wrinkling loads.

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DOI: https://doi.org/10.1090/qam/99710
Article copyright: © Copyright 1973 American Mathematical Society

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