Abstract
The purpose of this work is to analyse the problem: what is the effect of the assumed types and intensities of random initial geometrical imperfections on the equilibrium paths and the limit loads? To this end a new method of simulation of nonhomogeneous two-dimensional random fields on regular nets has been developed. The method is based on two concepts: an envelope of the random field and local covariance matrices classified according to the symmetry groups. The numerical examples deal with post-buckling responses of FEM models of shallow shells with different types of imperfections (whitenoise, Wiener and degenerated fields) using a Monte Carlo approach.
Published Version
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