Publications

Shi, X., Teixeira, A.P., Zhang, J. and Guedes Soares, C. , “Kriging response surface reliability analysis of a ship stiffened plate with initial imperfections”, Structure and Infrastructure Engineering, Vol. 11(11), pp. 1450-1465

The use of structural reliability methods with implicit limit state functions shows the increasing demand for efficient stochastic analysis tools, since the structural behaviour predictions are often obtained by finite element analysis (FEA). All stochastic mechanics problems can be solved by Monte Carlo (MC) simulation but, in most of the cases, at a prohibitively large computational cost. Several approximations can be achieved using first- and second-order reliability methods (FORM/SORM) and response surface methods (RSM). In this paper, a method that combines FORM and Kriging interpolation models, as response surface, is proposed. The prediction accuracy of the kriging response surface obtained from different sampling techniques is assessed and the failure probability estimates calculated by the first-order reliability method using the classical second-order polynomial regression models and the Kriging interpolation models as surrogates of nonlinear limit state functions are compared. The usefulness and efficiency of the reliability analysis using the Kriging response surface is demonstrated on the basis of existing results available in the literature and with an application problem of a stiffened plate structure with initial imperfections.

You can download this paper from: http://www.tandfonline.com/doi/abs/10.1080/15732479.2014.976575

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