Abstract
AbstractWe consider radially symmetric deformation of a thin flat elastic circular plate of constant thickness clamped at its edge. The plate is under the action of a uniform compressive thrust along its edge in the midplane of the plate. The thrust is proportional to a real parameter λ. The plate is also subjected to a radially symmetric load, normal to its midplane. The equilibrium states of the given buckling‐bending problem are the solutions of von Kármán equations. Let λ1 < λ2 be the first and the second eigenvalue of the linearized problem. If λ ≤ λ1 the buckling‐bending problem has unique solution for any normal load. If λ ∈ (λ1, λc), where λ1 < λc < λ2 the buckling‐bending problem has one or three solutions depending on the normal load. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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