Stochastic finite element analysis of plates with the Certain Generalized Stresses Method

Mahyunirsyah Mahjudin (1, 2) , Pascal Lardeur (1) , Frédéric Druesne (1) , Irwan Katili (2)

1 Roberval - Roberval
2 UI - Universitas Indonesia

The Certain Generalized Stresses Method (CGSM) takes into account variability in static finite element analysis. The CGSM is dedicated to thin-walled structures: bars, beams, plates and shells. The objective of this paper is to present and evaluate a methodology based on the CGSM, for the static finite element analysis of plates with variability. The CGSM is a non-intrusive method that requires only one finite element analysis with some load cases to calculate the variability of mechanical quantities of interest. The statistical results: mean value, standard deviation and distribution are obtained by Monte Carlo simulations, using a semi-analytical formula. Two examples are treated: a square plate with a circular hole under tension and a simply supported square bending plate under uniformly distributed load. The method provides results of good quality and is very economical from a computational time point of view.

Mots clés: Variability; Finite elements; Plate; Probabilistic; Non-intrusive; CGSM; Monte Carlo simulation

Domaines: Sciences de l'ingénieur [physics]; Mécanique [physics.med-ph]; Mécanique des structures [physics.class-ph]

Mahyunirsyah Mahjudin, Pascal Lardeur, Frédéric Druesne, Irwan Katili. Stochastic finite element analysis of plates with the Certain Generalized Stresses Method. Structural Safety, 2016, 61, pp.12-21. ⟨10.1016/j.strusafe.2016.02.006⟩. ⟨hal-01970244⟩