Applications of Mathematics

, Volume 47, Issue 1, pp 25–44 | Cite as

Post-Buckling Range of Plates in Axial Compression with Uncertain Initial Geometric Imperfections

  • Ivan Hlavacek


The method of reliable solutions alias the worst scenario method is applied to the problem of von Karman 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.

elastic plates Karman equations uncertain initial deflections worst scenario 


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Copyright information

© Mathematical Institute, Academy of Sciences of Czech Republic 2002

Authors and Affiliations

  • Ivan Hlavacek
    • 1
  1. 1.Mathematical InstituteAcademy of Sciences of the Czech RepublicPraha 1Czech Republic

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