Geodesic
Post-buckling range of plates in axial compression with uncertain initial geometric imperfections
Applications of Mathematics, Tome 47 (2002) no. 1, pp. 25-44

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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.
DOI : 10.1023/A:1021702816894
Classification : 35A35, 35J65, 65N30, 74G15, 74G60, 74K20
Keywords: elastic plates; Kármán equations; uncertain initial deflections; worst scenario 
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Hlaváček, Ivan. Post-buckling range of plates in axial compression with uncertain initial geometric imperfections. Applications of Mathematics, Tome 47 (2002) no. 1, pp. 25-44. doi: 10.1023/A:1021702816894

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