Stochastic finite element analysis of plates with the Certain Generalized Stresses Method. (July 2016)

• Record Type: Journal Article
• Authors: Mahjudin, Mahyunirsyah; Lardeur, Pascal; Druesne, Frédéric; Katili, Irwan
• Is Part Of: Structural safety. Volume 61(2016)
• Page Start: 12
• Page End: 21
• Publication Date: 2016-07
• Subjects: Variability -- Finite elements -- Plate -- Probabilistic -- Non-intrusive -- CGSM -- Monte Carlo simulation; Structural stability -- Periodicals; Safety factor in engineering -- Periodicals; Reliability (Engineering) -- Periodicals; Constructions -- Stabilité -- Périodiques; Coefficient de sécurité en ingénierie -- Périodiques; Fiabilité -- Périodiques; 620.86
• DOI: 10.1016/j.strusafe.2016.02.006
• Languages: English
• ISSNs: 0167-4730

Abstract

Highlights: The Certain Generalized Stresses Method for membrane and bending plates is presented. The CGSM is a non-intrusive method that requires only one finite element analysis with several load cases. The first example is a square membrane plate with a circular hole under tension. The second example is a simply supported square bending plate under uniformly distributed load. The CGSM is efficient in terms of quality of results and computational time. Abstract: 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.