A decomposition-based approach to uncertainty analysis of feed-forward multicomponent systems

被引:30
作者
Amaral, Sergio [1 ]
Allaire, Douglas [1 ]
Willcox, Karen [1 ]
机构
[1] MIT, Dept Aeronaut & Astronaut, Cambridge, MA 02139 USA
关键词
uncertainty propagation; uncertainty analysis; importance sampling; multidisciplinary; multicomponent; decomposition; MDO; MULTIDISCIPLINARY DESIGN OPTIMIZATION; COUPLED PROBLEMS; EPISTEMIC UNCERTAINTY; NUMERICAL APPROACH; QUANTIFICATION; PROPAGATION;
D O I
10.1002/nme.4779
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
To support effective decision making, engineers should comprehend and manage various uncertainties throughout the design process. Unfortunately, in today's modern systems, uncertainty analysis can become cumbersome and computationally intractable for one individual or group to manage. This is particularly true for systems comprised of a large number of components. In many cases, these components may be developed by different groups and even run on different computational platforms. This paper proposes an approach for decomposing the uncertainty analysis task among the various components comprising a feed-forward system and synthesizing the local uncertainty analyses into a system uncertainty analysis. Our proposed decomposition-based multicomponent uncertainty analysis approach is shown to be provably convergent in distribution under certain conditions. The proposed method is illustrated on quantification of uncertainty for a multidisciplinary gas turbine system and is compared to a traditional system-level Monte Carlo uncertainty analysis approach. Copyright (c) 2014 John Wiley & Sons, Ltd.
引用
收藏
页码:982 / 1005
页数:24
相关论文
共 35 条
[1]  
Alexandrov NM, 1997, P APPL MATH SERIES, V80
[2]  
[Anonymous], 8 AIAA USAF NASA ISS
[3]   Reduced chaos expansions with random coefficients in reduced-dimensional stochastic modeling of coupled problems [J].
Arnst, M. ;
Ghanem, R. ;
Phipps, E. ;
Red-Horse, J. .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2014, 97 (05) :352-376
[4]   Hybrid Sampling/Spectral Method for Solving Stochastic Coupled Problems [J].
Arnst, M. ;
Soize, C. ;
Ghanem, R. .
SIAM-ASA JOURNAL ON UNCERTAINTY QUANTIFICATION, 2013, 1 (01) :218-243
[5]   Measure transformation and efficient quadrature in reduced-dimensional stochastic modeling of coupled problems [J].
Arnst, M. ;
Ghanem, R. ;
Phipps, E. ;
Red-Horse, J. .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2012, 92 (12) :1044-1080
[6]   Dimension reduction in stochastic modeling of coupled problems [J].
Arnst, M. ;
Ghanem, R. ;
Phipps, E. ;
Red-Horse, J. .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2012, 92 (11) :940-968
[7]  
Braun RD, 1997, MULTIDISCIPLINARY DE, V80, P98
[8]  
Cacuci D, 2003, SENSITIVITY UNCERTAI
[9]   A flexible uncertainty quantification method for linearly coupled multi-physics systems [J].
Chen, Xiao ;
Ng, Brenda ;
Sun, Yunwei ;
Tong, Charles .
JOURNAL OF COMPUTATIONAL PHYSICS, 2013, 248 :383-401
[10]   A flexible numerical approach for quantification of epistemic uncertainty [J].
Chen, Xiaoxiao ;
Park, Eun-Jae ;
Xiu, Dongbin .
JOURNAL OF COMPUTATIONAL PHYSICS, 2013, 240 :211-224