TY - JOUR
T1 - Extension of the Certain Generalized Stresses Method for the stochastic analysis of homogeneous and laminated shells
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. The last author gratefully acknowledges research grant from Universitas Indonesia under Q1Q2 International Journal Publication Program No. NKB-0304/UN2.R3.1/HKP.05.00/2019.
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. The last author gratefully acknowledges research grant from Universitas Indonesia under Q1Q2 International Journal Publication Program No. NKB-0304/UN2.R3.1/HKP.05.00/2019 .
Publisher Copyright:
© 2020 Elsevier B.V.
PY - 2020/6/15
Y1 - 2020/6/15
N2 - The paper presents an extension of the Certain Generalized Stresses Method (CGSM) for the static finite element analysis of homogeneous and laminated shells with variability. The basic assumption is that the generalized stresses do not depend on input parameters perturbation. 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 uncertain input parameters are material and physical properties. Uniform random parameters as well as random fields are considered. The displacements statistical results: mean value, standard deviation and distribution are obtained by Monte Carlo simulations, using a semi-analytical formula. Two examples are treated: the Scordelis–Lo shell roof and an automotive windscreen. The method provides results of good quality and is very economical from a computational time point of view.
AB - The paper presents an extension of the Certain Generalized Stresses Method (CGSM) for the static finite element analysis of homogeneous and laminated shells with variability. The basic assumption is that the generalized stresses do not depend on input parameters perturbation. 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 uncertain input parameters are material and physical properties. Uniform random parameters as well as random fields are considered. The displacements statistical results: mean value, standard deviation and distribution are obtained by Monte Carlo simulations, using a semi-analytical formula. Two examples are treated: the Scordelis–Lo shell roof and an automotive windscreen. The method provides results of good quality and is very economical from a computational time point of view.
KW - CGSM
KW - Finite elements
KW - Laminated structures
KW - Monte Carlo simulation
KW - Shells
KW - Stochastic
UR - http://www.scopus.com/inward/record.url?scp=85082460053&partnerID=8YFLogxK
U2 - 10.1016/j.cma.2020.112945
DO - 10.1016/j.cma.2020.112945
M3 - Article
AN - SCOPUS:85082460053
SN - 0045-7825
VL - 365
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
M1 - 112945
ER -