Post-buckling range of plates in axial compression with uncertain initial geometric imperfections. (English) Zbl 1090.74579

The paper deals with the worst scenario method which is applied to von Kármán equations with uncertain initial deflection. Assuming two mode initial and total deflection and using Galerkin method, the problem leads to a system of two nonlinear algebraic equations with one or two uncertain parameters. The presented numerical examples involve: (i) minimization of lower buckling loads and (ii) maximization of the maximal mean reduced stresses.


74G60 Bifurcation and buckling
74K20 Plates
35J65 Nonlinear boundary value problems for linear elliptic equations
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