Geometrically non-linear behavior of structural systems with random material property: An asymptotic spectral stochastic approach

✍ Scribed by M. Tootkaboni; L. Graham-Brady; B.W. Schafer

• Publisher: Elsevier Science
• Year: 2009
• Tongue: English
• Weight: 945 KB
• Volume: 198
• Category: Article
• ISSN: 0045-7825
• DOI: 10.1016/j.cma.2009.05.014

✦ Synopsis

An asymptotic spectral stochastic approach is presented for computing the statistics of the equilibrium path in the post-bifurcation regime for structural systems with random material properties. The approach combines numerical implementation of Koiter's asymptotic theory with a stochastic Galerkin scheme and collocation in stochastic space to quantify uncertainties in the parametric representation of the load-displacement relationship, specifically in the form of uncertain post-buckling slope, post-buckling curvature, and a family of stochastic displacement fields. Using the proposed method, post-buckling response statistics for two plane frames are obtained and shown to be in close agreement with those obtained from Monte Carlo simulation, provided a fine enough spectral representation is used to model the variability in the random dimension.