The intent in robust design is to improve the quality of products and processes by reducing their sensitivity to variations, thereby reducing the effects of variability without removing its sources. Robust design is especially useful for integrating information from designers working at multiple length and time scales. Inevitably this involves the integration of uncertain information. This uncertainty is derived from many sources and robust design may be classified based on these sources—uncertainty in noise or environmental and other noise factors (type I); uncertainty in design variables or control factors (type II); and uncertainty introduce by modeling methods (type III). Each of these types of uncertainty can be mitigated by robust design. Of particular interest are the challenges associated with the design of multidisciplinary and multiscale systems; these challenges and opportunities are examined in the context of materials design.
Issue Section:
Research Papers
Keywords:
design engineering,
quality management,
large-scale systems,
robust design,
quality,
multiscale design
Topics:
Design
1.
Nair
, V. N.
, 1992, “Taguchi’s Parameter Design: A Panel Discussion
,” Technometrics
0040-1706, 34
, pp. 127
–161
.2.
Tsui
, K.-L.
, 1992, “An Overview of Taguchi Method and Newly Developed Statistical Methods for Robust Design
,” IIE Trans.
0740-817X, 24
(5
), pp. 44
–57
.3.
Chen
, W.
, Allen
, J. K.
, Tsui
, K.-L.
, and Mistree
, F.
, 1996 “A Procedure for Robust Design: Minimizing Variations Caused by Noise Factors and Control Factors
,” ASME J. Mech. Des.
1050-0472, 118
(4
), pp. 478
–485
.4.
Myers
, R. H.
, and Montgomery
, D. C.
, 1995, Response Surface Methodology: Process and Product Optimization Using Designed Experiments
, Wiley
, New York.5.
Choi
, H.-J.
, Austin
, R.
, Allen
, J. K.
, McDowell
, D. L.
, Mistree
, F.
, and Benson
, D. J.
, 2005, “An Approach for Robust Design of Reactive Metal Powder Mixtures Based on Non-Deterministic Micro-Scale Shock Simulation
,” J. Comput.-Aided Mater. Des.
0928-1045, 12
, pp. 57
–85
.6.
Taguchi
, G.
, 1986, Introduction to Quality Engineering
, The Asian Productivity Organization
, Tokyo.7.
Taguchi
, G.
, and Clausing
, D.
, 1990, “Robust Quality
,” Harvard Bus. Rev.
0017-8012, Jan/Feb, pp. 65
–75
.8.
Tsui
, K.-L.
, 1996, “A Critical Look at Taguchi’s Modeling Approach for Robust Design
,” Appl. Stat.
0285-0370, 23
(1
), pp. 81
–95
.9.
Wu
, C. F. J.
, and Hamada
, M.
, 2000, Experiments: Planning, Analysis and Parameter Design Optimization
, John Wiley and Sons
, New York.10.
Santner
, T. J.
, Williams
, B. J.
, and Notz
, W. I.
, 2003, The Design and Analysis of Computer Experiments
, Springer
, New York.11.
Giunta
, A. A.
, Balabanov
, V.
, Haim
, D.
, Grossman
, B.
, Mason
, W. H.
, Watson
, L. T.
, and Haftka
, R. T.
, 1997, “Aircraft Multidisciplinary Design Optimization Using Design of Experiments Theory and Response Surface Modeling
,” Aeronaut. J.
0001-9240, 101
(1008
), pp. 347
–356
.12.
Lin
, Y.
, 2004, “An Efficient Robust Concept Exploration Method and Sequential Exploratory Experimental Design
,” Ph.D. dissertation, The G.W. Woodruff School of Mechanical Engineering. Georgia Institute of Technology, Atlanta, GA.13.
Welch
, J. T.
, Yu
, T. K.
, Kand
, S. M.
, and Sachs
, J.
, 1990, “Computer Experiments for Quality Control by Parameter Design
,” J. Quality Technol.
0022-4065, 22
, pp. 15
–22
.14.
Shoemaker
, A. C.
, Tsui
, K.-L.
, and Wu
, C. F. J.
, 1991, “Economical Experimentation Methods for Robust Design
,” Technometrics
0040-1706, 33
, pp. 415
–427
.15.
Borror
, C. M.
, and Montgomery
, D. C.
, 2000, “Mixed Resolution Designs as Alternatives to Taguchi Inner/Outer Array Designs for Robust Design Problems
,” Qual. Reliab. Eng. Int
0748-8017, 16
, pp. 117
–127
.16.
Wu
, C. F. J.
, and Zhu
, Y.
, 2003, “Optimal Selection of Single Arrays for Parameter Design Experiments
,” Stat. Sin.
1017-0405, 13
, pp. 1179
–1199
.17.
Frey
, D. D.
, and Li
, X.
2004, “Validating Robust Parameter Design Methods
. 2004,” ASME Design Technical Conferences, Salt Lake City, UT, Paper No. DETC2004-57518.18.
Kunert
, J.
, Auer
, C.
, Erdbrugge
, M.
, and Gobel
, R.
, 2006, “An Experiment to Compare the Combined Array and the Product Array for Robust Parameter Design
.” J. Quality Technol.
0022-4065 (in press).19.
Box
, G.
, 1988, “Signal-to-Noise Ratios, Performance Criteria, and Transformations
,” Technometrics
0040-1706, 30
, pp. 1
–18
.20.
Vining
, G. G.
, and Myers
, R. H.
, 1990, “Combining Taguchi and Response Surface Philosophies: A Dual Response Approach
,” J. Quality Technol.
0022-4065, 22
, pp. 38
–45
.21.
Mourelatos
, Z. P.
, and Liang
, J.
, 2005, “A Methodology for Trading-Off Performance and Robustness Under Uncertainty
,” in AMSE Design Technical Conferences, Long Beach, CA, Paper No. DETC2005/DAC-85019.22.
Murphy
, T. E.
, Tsui
, K.-L.
, and Allen
, J. K.
, 2005, “A Review of Robust Design Methods for Multiple Responses
,” Res. Eng. Des.
0934-9839, 15
, pp. 201
–215
.23.
Bras
, B. A.
, and Mistree
, F.
, 1993, “Robust Design Using Compromise Decision Support Problems
,” Eng. Optimiz.
0305-215X, 2
(3
), pp. 213
–239
.24.
Chen
, W.
, Wiecek
, M.
, and Zhang
, J.
, 1999, “Quality Utility: A Compromise Programming Approach to Robust Design
,” ASME J. Mech. Des.
1050-0472, 121
, pp. 179
–187
.25.
Chen
, W.
, Atul
, S.
, Messac
, A.
, and Sundararaj
, G.
, 2000, “Exploration of the Effectiveness of Physical Programming in Robust Design
,” ASME J. Mech. Des.
1050-0472, 122
(2
), pp. 155
–163
.26.
Clausing
, D.
, and Frey
, D. D.
, 2005, “Improving Systems Reliability by Failure-Mode-Avoidance Including Four Concept Design Strategies
,” Systems Engineering (INCOSE)
, 8
(3
), pp. 245
–261
.27.
Joseph
, V. R.
, and Wu
, C. F. J.
, 2002, “Operating Windows Experiments: A Novel Approach to Quality Improvement
,” J. Quality Technol.
0022-4065, 34
, pp. 345
–354
.28.
Gunawan
, S.
, and Azarm
, S.
, 2005, “Multi-Objective Robust Optimization Using a Sensitivity Region Concept
,” Struct. Multidiscip. Optim.
1615-147X, 29
, pp. 50
–60
.29.
Gurnani
, A.
, and Lewis
, K.
, 2003, “An Approach to Robust Multiattribute Concept Selection
,” ASME Design Technical Conferences—Design Automation Conference, Chicago, IL, Paper No. DETC2003/DAC-48707.30.
Simpson
, T. W.
, Peplinski
, J. D.
, Koch
, P. N.
, and Allen
, J. K.
, 1002, “Metamodels for Computer-Based Engineering Design: Survey and Recommendations
,” Eng. Comput.
0177-0667, 17
, pp. 129
–150
.31.
Ramakrishnan
, B.
, and Rao
, S. S.
, 1996, “A General Loss Function Based Optimization Procedure for Robust Design
,” Eng. Optimiz.
0305-215X, 25
, pp. 255
–276
.32.
Cagan
, J.
, and Williams
, B. C.
, 1993, “First-Order Necessary Conditions for Robust Optimality
,” in ASME Advances in Design Automation
, Albuquerque
, NM, ASME DE-Vol. 65-1.33.
Michelena
, N. F.
, and Agogino
, A. M.
, 1994, “Formal Solution of N-Type Robust Parameter Design Problems with Stochastic Noise Factors
,” ASME J. Mech. Des.
1050-0472, 116
, pp. 501
–507
.34.
Sundaresan
, S.
, Ishii
, K.
, and Houser
, D. R.
, 1995, “A Robust Optimization Procedure with Variations in Design Variables and Constraints
,” Eng. Optimiz.
0305-215X, 24
, pp. 101
–117
.35.
Parkinson
, A.
, Sorensen
, C.
, and Pourhassan
, N.
, 1993, “A General Approach for Robust Optimal Design
,” ASME J. Mech. Des.
1050-0472, 115
(1
), pp. 74
–80
.36.
Yu
, J.
, and Ishii
, K.
, 1994, “Robust Design by Matching the Design with Manufacturing Variation Patterns
,” ASME Design Automation Conference, Minneapolis, MN, ASME, DE-Vol. 69-2.37.
Otto
, K. N.
, and Antonsson
, E. K.
, 1993, “Extensions to the Taguchi Method of Product Design
,” ASME J. Mech. Des.
1050-0472, 115
(1
), pp. 5
–13
.38.
Liu
, J. S.
, Monte Carlo Strategies in Scientific Computing
, 2001, Springer
, New York.39.
Du
, X.
, and Chen
, W.
, 2000, “Towards a Better Understanding of Modeling Feasibility Robustness in Engineering Design
,” ASME J. Mech. Des.
1050-0472, 122
, pp. 385
–394
.40.
Koehler
, J. R.
, and Owen
, A. B.
, 1996, “Computer Experiments
,” in Handbook of Statistics
, S.
Ghosh
and C. R.
Rao
, eds., Elsevier Science
, New York, pp. 261
–308
.41.
McKay
, M. D.
, Beckman
, R. J.
, and Conover
, W. J.
, 1979, “A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code
,” Qual. Eng.
0898-2112 11
(3
), pp. 417
–425
.42.
Mavris
, D. N.
, Bandte
, O.
, and DeLaurentis
, D. A.
, 1999, “Robust Design Simulation: A Probabilistic Approach to Multidisciplinary Design
,” J. Aircr.
0021-8669, 36
(1
), pp. 298
–307
.43.
Koch
, P. N.
, Allen
, J. K.
, Mistree
, F.
, and Mavris
, D.
, 1997, “The Problem of Size in Robust Design
,” in ASME Advances in Design Automation, Sacramento, CA, ASME, Paper No. DETC97/DAC-3983.44.
Phadke
, M. S.
, 1989, Quality Engineering Using Robust Design
, Prentice-Hall
, Englewood Cliffs, NJ.45.
Bisgaard
, S.
, and Ankenman
, B.
, 1995, “Analytic Parameter Design
,” Qual. Eng.
0898-2112, 8
, pp. 75
–91
.46.
Andradottir
, S.
, Healy
, K. J.
, Withers
, D. H.
, and Nelson
, B. L.
, 1998, “Simulation Optimization
,” in Handbook of Simulation
, John E. Wiley and Sons, Inc.
, New York, pp. 853
–858
.47.
Belegundu
, A. D.
, and Zhang
, S.
, 1992, “Robustness of Design through Minimum Sensitivity
,” ASME J. Mech. Des.
1050-0472, 114
, pp. 213
–217
.48.
Su
, J.
, and Renaud
, J. E.
, 1997, “Automatic Differentiation in Robust Optimization
,” AIAA J., 36
(6
), pp. 1072
–1079
.49.
Chen
, W.
, Allen
, J. K.
, Mavris
, D.
, and Mistree
, F.
, 1996, “A Concept Exploration Method for Determining Robust Top-Level Specifications
,” Eng. Optimiz.
0305-215X, 26
(2
), pp. 137
–158
.50.
Chen
, W.
, 1995, “A Robust Concept Exploration Method for Configuring Complex Systems
,” Ph.D. dissertation, The G. W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA.51.
Simpson
, T. W.
, 1996, “A Concept Exploration Method for Product Family Design
,” Ph.D. dissertation, The G.W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA.52.
Koch
, P. N.
, 1997, “Hierarchical Modeling and Robust Synthesis for the Preliminary Design of Large Scale Complex Systems
,” Ph.D. dissertation, The G.W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA.53.
Simpson
, T. W.
, Maier
, J. R. A.
, and Mistree
, F.
, 2001, “Product Platform Design: Method and Applications
,” Res. Eng. Des.
0934-9839, 13
, pp. 2
–22
.54.
Chen
, W.
, Simpson
, T. W.
, Allen
, J. K.
, and Mistree
, F.
, 1999, “Satisfying Ranged Sets of Design Requirements Using Design Capability Indices as Metrics
,” Eng. Optimiz.
0305-215X, 31
, pp. 615
–639
.55.
Chen
, W.
, and Yuan
, C.
, 1999, “A Probabilistic-Based Design Model for Achieving Flexibility in Design
,” ASME J. Mech. Des.
1050-0472, 121
(1
), pp. 77
–83
.56.
Varadarajan
, S.
, Chen
, W.
, and Pelka
, C. J.
, 2000, “Robust Concept Exploration of Propulsion Systems with Enhanced Model Approximation Capabilities
,” Eng. Optimiz.
0305-215X, 32
, pp. 309
–334
.57.
Simpson
, T. W.
, Seepersad
, C. C.
, and Mistree
, F.
, 2001, “Balancing Commonality and Performance within the Concurrent Design of Multiple Products in a Product Family
,” Concurr. Eng. Res. Appl.
1063-293X, 9
(3
), pp. 177
–190
.58.
Simpson
, T. W.
, Chen
, W.
, Allen
, J. K.
, and Mistree
, F.
, 1999, “Use of the Robust Concept Exploration Method to Facilitate the Design of a Family of Products
,” in Simultaneous Engineering: Methodologies and Applications
, U.
Roy
, J. M.
Usher
, and H. R.
Parsaei
, eds., Gordon and Breach Science Publishers
, Amsterdam, pp. 247
–278
.59.
Hernandez
, G.
, Simpson
, T. W.
, Allen
, J. K.
, Bascaran
, E.
, Avila
, L. F.
, and Salinas
, R. F.
, 2001, “Robust Design Modeling of Products and Families
,” ASME J. Mech. Des.
1050-0472, 123
(2
), pp. 183
–190
.60.
Olwenik
, A.
, Brauen
, T.
, Ferguson
, S.
, and Lewis
, K.
, 2004, “A Framework for Flexible Systems and Its Implementation in Multiattribute Decision Making
,” ASME J. Mech. Des.
1050-0472, 126
, pp. 412
–419
.61.
Seepersad
, C. C.
, 2004, “A Robust Topological Preliminary Design Exploration Method with Materials Applications
,” Ph.D. dissertation, The G.W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA.62.
Seepersad
, C. C.
, Allen
, J. K.
, McDowell
, D. L.
, and Mistree
, F.
, 2006, “Robust Design of Cellular Materials with Topological and Dimensional Imperfections
,” ASME J. Mech. Des.
1050-0472 (in press).63.
Du
, X.
, and Chen
, W.
, 2000, “Methodology for Managing the Effect of Uncertainty in Simulation-Based Systems Design
,” AIAA J., 38
, pp. 1471
–1478
.64.
Du
, X.
, and Chen
, W.
, 2002, “Efficient Uncertainty Analysis Methods for Multidisciplinary Robust Design
,” AIAA J., 40
, pp. 545
–552
.65.
Sobieszczanski-Sobieski
, J.
, and Haftka
, R. T.
, 1997, “Multidisciplinary Aerospace Design Optimization: Survey of Recent Developments
,” Struct. Multidiscip. Optim.
1615-147X, 14
, pp. 1
–23
.66.
Kroo
, I. M.
, 1997, “Multidisciplinary Optimization Applications in Preliminary Design - Status and Directions
,” 38th AIAA/AMSE/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, Kissimmee, FL, Paper No. AIAA97-140867.
Isukapalli
, S. S.
, Roy
, A.
, and Georgopoulos
, P. G.
, 1998, “Stochastic Response Surface Methods (Ssrms) for Uncertainty Propagation: Application to Environmental and Biological Systems
,” Risk Anal.
0272-4332, 18
(3
), pp. 351
–363
.68.
Gu
, X.
, Renaud
, J. E.
, Batil
, S. M.
, Branch
, R. M.
, and Budhiraja
, A. S.
, 2000, “Worst Case Propagated Uncertainty of Multisdiciplinary Systems in Robust Design Optimization
,” Struct. Multidiscip. Optim.
1615-147X, 20
, pp. 190
–213
.69.
Liu
, H. W. C.
, Kokkolaras
, M.
, Papalambros
, P. Y.
, and Kim
, H. M.
, 2005, “Probabilistic Analytical Target Cascading - A Moment Matching Formulation for Multilevel Optimization under Uncertainty
,” in Design Technical Conferences 2005-Design Automation Conference, Long Beach, CA, Paper No. DETC2005-84928.70.
Choi
, H.-J.
, Allen
, J. K.
, Rosen
, D.
, McDowell
, D. L.
, and Mistree
, F.
, 2005, “An Inductive Design Exploration Method for the Integrated Design of Multi-Scale Materials and Products
,” in Design Engineering Technical Conferences - Design Automation Conference, Long Beach, CA, Paper No. DETC2005-85335.71.
Chen
, W.
, and Lewis
, K.
, 1999, “A Robust Design Approach for Achieving Flexibility in Multidisciplinary Design
,” AIAA J., 37
(8
), pp. 982
–989
.72.
Xiao
, A.
, 2003, Collaborative Multidisciplinary Decision Making in a Distributed Environment
, Ph.D. dissertation, The G.W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA.73.
Kalsi
, M.
, Hacker
, K.
, and Lewis
, K.
, 2001, “Comprehensive Robust Design Approach for Decision Trade-Offs in Complex System Design
,” ASME J. Mech. Des.
1050-0472, 123
, pp. 1
–10
.74.
Chang
, T. S.
, Ward
, A. C.
, Lee
, J.
, and Jacox
, E. H.
, 1994, “Conceptual Robustness in Simultaneous Engineering: An Extension of Taguchi’s Parameter Design
,” Res. Eng. Des.
0934-9839, 6
, pp. 211
–222
.75.
Chang
, T. S.
, and Ward
, A. C.
, 1995, “Conceptual Robustness in Simultaneous Engineering: A Formulation in Continuous Spaces
,” Res. Eng. Des.
0934-9839, 7
, pp. 67
–85
.76.
Koch
, P. N.
, Simpson
, T. W.
, Allen
, J. K.
, and Mistree
, F.
, 1999, “Statistical Approximations for Multidisciplinary Design Optimization: The Problem of Size
,” J. Aircr.
0021-8669, 36
, pp. 275
–286
.77.
Gunawan
, S.
, and Azarm
, A.
, 2004, “Non-Gradient Based Parameter Sensitivity Estimation for Single Objective Robust Design Optimization
,” ASME J. Mech. Des.
1050-0472, 126
, pp. 395
–402
.78.
Gunawan
, S.
, and Azarm
, S.
, 2005, “A Feasibility Robust Optimization Method Using Sensitivity Region Concept
,” ASME J. Mech. Des.
1050-0472, 127
, pp. 858
–865
.79.
Li
, M.
, Azarm
, S.
, and Boyars
, A.
, 2005, “A New Deterministic Approach Using Sensitivity Region Measures for Multi-Objective Robust and Feasibility Design Optimization
,” ASME Design Technical Conferences - Design Automation Conference, Long Beach, CA, Paper No. DETC2005-85095.80.
Seepersad
, C. C.
, Allen
, J. K.
, McDowell
, D. L.
, and Mistree
, F.
, 2005, “Robust Design of Cellular Materials with Topological Imperfections
,” in ASME Design Technical Conferences-Design Automation Conference, Long Beach, CA, Paper No. DETC2005-85061.81.
Wang
, A.
, and McDowell
, D. L.
, 2004, “Effects of Defects on In-plane Properties of Periodic Metal Honeycombs
,” Int. J. Mech. Sci.
0020-7403, 45
(11
), pp. 1799
–1813
.Copyright © 2006
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