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

• Published in: Journal of engineering mathematics Vol. 130; no. 1; pp. 1 - 19
• Main Authors: Denimal, E., Sinou, J.-J.
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01.10.2021; Springer Nature B.V; Springer Verlag
• Subjects: Applications of Mathematics; Axial compression; Buckling; Computational efficiency; Computational Mathematics and Numerical Analysis; Computing time; Engineering Sciences; Material properties; Mathematical and Computational Engineering; Mathematical Modeling and Industrial Mathematics; Mathematics; Mathematics and Statistics; Mechanical engineering; Mechanical systems; Mechanics; Parametric analysis; Polynomials; Random/Stochastic Differential Equations in Engineering Problems; Stiffness; Structural mechanics; Structural stability; Theoretical and Applied Mechanics; Rayleigh–Ritz; Structural stability; Uncertainties; Buckling; Kriging; Polynomial Chaos Expansion; Rayleigh-Ritz

In this paper, a numerical strategy based on the combination of the kriging approach and the Polynomial Chaos Expansion (PCE) is proposed for the prediction of buckling loads due to random geometric imperfections and fluctuations in material properties of a mechanical system. The original computatio...