Displaying similar documents to “Free vibration analysis of rectangular orthotropic membranes in large deflection.”

Post-buckling range of plates in axial compression with uncertain initial geometric imperfections

Ivan Hlaváček (2002)

Applications of Mathematics

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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...