AN EFFICIENT APPROACH TO PROBABILISTIC UNCERTAINTY ANALYSIS IN SIMULATION-BASED MULTIDISCIPLINARY DESIGN

In this paper a , computationally efficient techniques for propagating the effect of uncertainty are developed to accommodate generic probabilistic representations of uncertain parameters and error estimation models in a multidisciplinary design system. To improve the computational efficiency of probabilistic uncertainty propagation in the context of highly coupled analyses, the first order sensitivity analysis and the moment matching method are employed. This is implemented by two techniques, namely, the system uncertainty analysis method (SUAM) and the concurrent subsystem uncertainty analysis method (CSSUAM). Depending on the number of variables and the number of disciplines involved, the effectiveness of these techniques varies. A mathematical example and an electronic packaging problem are used to verify the effectiveness of these approaches.

[1]  David R. Oakley,et al.  Multidisciplinary Stochastic Optimization , 1995 .

[2]  Cheng Wang,et al.  Parametric uncertainty analysis for complex engineering systems , 1999 .

[3]  Xiaoping Du,et al.  Propagation and Management of Uncertainties in Simulation-Based Collaborative Systems Design , 1999 .

[4]  Achille Messac,et al.  Physical programming - Effective optimization for computational design , 1996 .

[5]  Kroo Ilan,et al.  Multidisciplinary Optimization Methods for Aircraft Preliminary Design , 1994 .

[6]  Kathryn B. Laskey Model uncertainty: theory and practical implications , 1996, IEEE Trans. Syst. Man Cybern. Part A.

[7]  John E. Renaud,et al.  Multiobjective Collaborative Optimization , 1997 .

[8]  John E. Renaud,et al.  AN INVESTIGATION OF MULTIDISCIPLINARY DESIGN SUBJECT TO UNCERTAINTY , 1998 .

[9]  J. Høybye,et al.  Model Error Propagation and Data Collection Design. An Application in Water Quality Modelling , 1998 .

[10]  Bilal M. Ayyub,et al.  Uncertainty Modeling and Analysis in Civil Engineering , 1997 .

[11]  Carl D. Sorensen,et al.  A general approach for robust optimal design , 1993 .

[12]  Christina Bloebaum,et al.  NON-HIERARCHIC SYSTEM DECOMPOSITION IN STRUCTURAL OPTIMIZATION , 1992 .

[13]  Qin Zhang A new approximate method for uncertainty propagation in system reliability analysis , 1990 .

[14]  Palle Thoft-Christensen,et al.  Reliability and optimization of structural systems '90 : proceedings of the 3rd IFIP WG 7.5 Conference, Berkeley, California, USA, March 26-28, 1990 , 1991 .

[15]  Deborah L Thurston,et al.  A formal method for subjective design evaluation with multiple attributes , 1991 .

[16]  Jaroslaw Sobieszczanski-Sobieski,et al.  An algorithm for solving the system-level problem in multilevel optimization , 1994 .

[17]  Wei Chen,et al.  Towards a Better Understanding of Modeling Feasibility Robustness in Engineering Design , 2000 .

[18]  S. Isukapalli,et al.  Stochastic Response Surface Methods (SRSMs) for Uncertainty Propagation: Application to Environmental and Biological Systems , 1998, Risk analysis : an official publication of the Society for Risk Analysis.

[19]  Farrokh Mistree,et al.  A procedure for robust design: Minimizing variations caused by noise factors and control factors , 1996 .

[20]  Averill M. Law,et al.  Simulation Modeling and Analysis , 1982 .