Reference : Model order reduction accelerated Monte Carlo stochastic isogeometric method for the ...
Scientific journals : Article
Engineering, computing & technology : Multidisciplinary, general & others
http://hdl.handle.net/10993/41932
Model order reduction accelerated Monte Carlo stochastic isogeometric method for the analysis of structures with high-dimensional and independent material uncertainties
English
Ding, Chensen[University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit > ; State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha 410082, PR China]
Deokar, Rohit R.[University of Minnesota-Twin Cities, Minneapolis, MN 55455, United States > Department of Mechanical Engineering]
Ding, Yanjun[School of Basic Medical Sciences, Central South University, Changsha 410013, PR China > Department of Forensic Science]
Li, Guangyao[State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha 410082, PR China]
Cui, Xiangyang[State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha 410082, PR China]
Tamma, Kumar K.[University of Minnesota-Twin Cities, Minneapolis, MN 55455, United States > Department of Mechanical Engineering]
Bordas, Stéphane[University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit > ; Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan > > > ; Institute of Mechanics and Advanced Materials, School of Engineering, Cardiff University, UK]
[en] Stochastic isogeometric analysis ; High-dimensional and independent material uncertainties ; Model order reduction via proper orthogonal decomposition ; Monte Carlo simulation (MCS)
[en] Structural stochastic analysis is vital to engineering. However, current material related uncertainty methods are mostly limited to low dimension, and they mostly remain unable to account for spatially uncorrelated material uncertainties. They are not representative of realistic and practical engineering situations. In particular, it is more serious for composite structures comprised of dissimilar materials. Therefore, we propose a novel model order reduction via proper orthogonal decomposition accelerated Monte Carlo stochastic isogeometric method (IGA-POD-MCS) for stochastic analysis of exactly represented (composite) structures. This approach particularly enables high-dimensional material uncertainties wherein the characteristics of each element are independent. And the novelties include: (1) the structural geometry is exactly modeled thanks to isogeometric analysis (IGA), as well as providing more accurate deterministic and stochastic solutions, (2) we innovatively consider high-dimensional and independent material uncertainties by separating the stochastic mesh from the IGA mesh, and modeling different stochastic elements to have different (independent) uncertainty behaviors, (3) the classical Monte Carlo simulation (MCS) is employed to universally solve the high-dimensional uncertainty problem. However, to circumvent its computational expense, we employ model order reduction via proper orthogonal decomposition (POD) into the IGA coupled MCS stochastic analysis. In particular, we observe that this work decouples all IGA elements and hence permits independent uncertainty models easily, thereby the engineering problem is modeled to be more realistic and authentic. Several illustrative numerical examples verify the proposed IGA-POD-MCS approach is effective and efficient; and the larger the scale of the problem is, the more advantageous the method will become.
Researchers ; Professionals ; Students ; General public ; Others
[University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit > ; State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha 410082, PR China]
