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Article

Hlaváček, Ivan
Post-buckling range of plates in axial compression with uncertain initial geometric imperfections. (English). Applications of Mathematics, vol. 47 (2002), issue 1, pp. 25-44
MSC: 35A35, 35J65, 65N30, 74G15, 74G60, 74K20 | MR 1876490 | Zbl 1090.74579 | DOI: 10.1023/A:1021702816894
Keywords:
elastic plates; Kármán equations; uncertain initial deflections; worst scenario
Summary:
The method of reliable solutions alias the worst scenario method is applied to the problem of von Kármán equations with uncertain initial deflection. Assuming two-mode initial and total deflections and using Galerkin approximations, the analysis leads to a system of two nonlinear algebraic equations with one or two uncertain parameters-amplitudes of initial deflections. Numerical examples involve (i) minimization of lower buckling loads and (ii) maximization of the maximal mean reduced stress.
References:
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