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

Mahyunirsyah Mahjudin; Pascal Lardeur; Frédéric Druesne; Irwan Katili

doi:10.1016/j.strusafe.2016.02.006

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

Mahyunirsyah Mahjudin, Pascal Lardeur, Frédéric Druesne, Irwan Katili

Department of Civil Engineering

Research output: Contribution to journal › Article › peer-review

22 Citations (Scopus)

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.

Original language	English
Pages (from-to)	12-21
Number of pages	10
Journal	Structural Safety
Volume	61
DOIs	https://doi.org/10.1016/j.strusafe.2016.02.006
Publication status	Published - 1 Jul 2016

Keywords

CGSM
Finite elements
Monte Carlo simulation
Non-intrusive
Plate
Probabilistic
Variability

Access to Document

10.1016/j.strusafe.2016.02.006

Cite this

@article{a6bfeee9de7344fd81bc04f901f841b4,

title = "Stochastic finite element analysis of plates with the Certain Generalized Stresses Method",

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.",

keywords = "CGSM, Finite elements, Monte Carlo simulation, Non-intrusive, Plate, Probabilistic, Variability",

author = "Mahyunirsyah Mahjudin and Pascal Lardeur and Fr{\'e}d{\'e}ric Druesne and Irwan Katili",

note = "Funding Information: The authors are grateful to the Directorate of Higher Education (DIKTI) of Ministry of Higher Education, Research and Technology of Indonesian Government and the Embassy of France in Indonesia for the financial support. Publisher Copyright: {\textcopyright} 2016 Elsevier Ltd.",

year = "2016",

month = jul,

day = "1",

doi = "10.1016/j.strusafe.2016.02.006",

language = "English",

volume = "61",

pages = "12--21",

journal = "Structural Safety",

issn = "0167-4730",

publisher = "Elsevier",

}

TY - JOUR

T1 - Stochastic finite element analysis of plates with the Certain Generalized Stresses Method

AU - Mahjudin, Mahyunirsyah

AU - Lardeur, Pascal

AU - Druesne, Frédéric

AU - Katili, Irwan

N1 - Funding Information: The authors are grateful to the Directorate of Higher Education (DIKTI) of Ministry of Higher Education, Research and Technology of Indonesian Government and the Embassy of France in Indonesia for the financial support. Publisher Copyright: © 2016 Elsevier Ltd.

PY - 2016/7/1

Y1 - 2016/7/1

N2 - 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.

AB - 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.

KW - CGSM

KW - Finite elements

KW - Monte Carlo simulation

KW - Non-intrusive

KW - Plate

KW - Probabilistic

KW - Variability

UR - http://www.scopus.com/inward/record.url?scp=84962722744&partnerID=8YFLogxK

U2 - 10.1016/j.strusafe.2016.02.006

DO - 10.1016/j.strusafe.2016.02.006

M3 - Article

AN - SCOPUS:84962722744

SN - 0167-4730

VL - 61

SP - 12

EP - 21

JO - Structural Safety

JF - Structural Safety

ER -

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

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this