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 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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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     author = {Hlav\'a\v{c}ek, Ivan},
     title = {Post-buckling range of plates in axial compression with uncertain initial geometric imperfections},
     journal = {Applications of Mathematics},
     pages = {25--44},
     year = {2002},
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     zbl = {1090.74579},
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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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