Advanced computational technique based on kriging and Polynomial Chaos Expansion for structural stability of mechanical systems with uncertainties

Abstract In this paper, a numerical strategy based on the combination of kriging approach and Polynomial Chaos Expansion (PCE) is proposed for prediction buckling loads due to random geometric imperfections fluctuations in material properties mechanical system. The original computational applied beam simply supported at both ends by rigid supports one punctual spring whose location stiffness vary. subjected deterministic axial compression load. PCE-kriging meta-modelling employed efficiently perform parametric analysis with geometrical properties. proved be computationally efficient terms number model evaluations time predict accurately It demonstrated that are substantially impacted not only spring, but also parameters.