0175143 - MU-W 20020026 RIV CZ eng J - Journal Article
Hlaváček, Ivan
Post-buckling range of plates in axial compression with uncertain initial geometric imperfections.
Applications of Mathematics. Roč. 47, č. 1 (2002), s. 25-44. ISSN 0862-7940. E-ISSN 1572-9109
R&D Projects: GA ČR GA201/97/0217
Keywords : elastic plates * Kármán equations * uncertain initial deflections
Subject RIV: BA - General Mathematics

The method of worst scenario is applied to the problem of von Kármám 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.
Permanent Link: http://hdl.handle.net/11104/0072130