Sequential sampling strategies have been developed for managing complexity when using computationally expensive computer simulations in engineering design. However, much of the literature has focused on objective-oriented sequential sampling methods for deterministic optimization. These methods cannot be directly applied to robust design, which must account for uncontrollable variations in certain input variables (i.e., noise variables). Obtaining a robust design that is insensitive to variations in the noise variables is more challenging. Even though methods exist for sequential sampling in design under uncertainty, the majority of the existing literature does not systematically take into account the interpolation uncertainty that results from limitations on the number of simulation runs, the effect of which is inherently more severe than in deterministic design. In this paper, we develop a systematic objective-oriented sequential sampling approach to robust design with consideration of both noise variable uncertainty and interpolation uncertainty. The method uses Gaussian processes to model the costly simulator and quantify the interpolation uncertainty within a robust design objective. We examine several criteria, including our own proposed criteria, for sampling the design and noise variables and provide insight into their performance behaviors. We show that for both of the examples considered in this paper the proposed sequential algorithm is more efficient in finding the robust design solution than a one-shot space filling design.
Skip Nav Destination
Article navigation
Research-Article
Objective-Oriented Sequential Sampling for Simulation Based Robust Design Considering Multiple Sources of Uncertainty
Paul D. Arendt,
Paul D. Arendt
Department of Mechanical Engineering,
e-mail: paularendt2012@u.northwestern.edu
Northwestern University
,2145 Sheridan Road
,Room B214, Evanston, IL 60208
e-mail: paularendt2012@u.northwestern.edu
Search for other works by this author on:
Daniel W. Apley,
Daniel W. Apley
Department of Industrial Engineering and Management Sciences,
e-mail: apley@northwestern.edu
Northwestern University
,2145 Sheridan Road
,Room C150, Evanston, IL 60208
e-mail: apley@northwestern.edu
Search for other works by this author on:
Wei Chen
Wei Chen
1
Department of Mechanical Engineering,
e-mail: weichen@northwestern.edu
Northwestern University
,2145 Sheridan Road
,Room A216, Evanston, IL 60208
e-mail: weichen@northwestern.edu
1Corresponding author.
Search for other works by this author on:
Paul D. Arendt
Department of Mechanical Engineering,
e-mail: paularendt2012@u.northwestern.edu
Northwestern University
,2145 Sheridan Road
,Room B214, Evanston, IL 60208
e-mail: paularendt2012@u.northwestern.edu
Daniel W. Apley
Department of Industrial Engineering and Management Sciences,
e-mail: apley@northwestern.edu
Northwestern University
,2145 Sheridan Road
,Room C150, Evanston, IL 60208
e-mail: apley@northwestern.edu
Wei Chen
Department of Mechanical Engineering,
e-mail: weichen@northwestern.edu
Northwestern University
,2145 Sheridan Road
,Room A216, Evanston, IL 60208
e-mail: weichen@northwestern.edu
1Corresponding author.
Contributed by the Design Automation Committee of ASME for publication in the JOURNAL OF MECHANICAL DESIGN. Manuscript received June 11, 2012; final manuscript received February 24, 2013; published online April 23, 2013. Assoc. Editor: Michael Kokkolaras.
J. Mech. Des. May 2013, 135(5): 051005 (10 pages)
Published Online: April 23, 2013
Article history
Received:
June 11, 2012
Revision Received:
February 24, 2013
Citation
Arendt, P. D., Apley, D. W., and Chen, W. (April 23, 2013). "Objective-Oriented Sequential Sampling for Simulation Based Robust Design Considering Multiple Sources of Uncertainty." ASME. J. Mech. Des. May 2013; 135(5): 051005. https://doi.org/10.1115/1.4023922
Download citation file:
Get Email Alerts
Cited By
An Adaptive Two-Stage Kriging-Based Infilling Strategy for Efficient Multi-Objective Global Optimization
J. Mech. Des (November 2022)
Design and Kinematic Analysis of a Novel Deployable Antenna Mechanism for Synthetic Aperture Radar Satellites
J. Mech. Des (November 2022)
Related Articles
Understanding the Effects of Model Uncertainty in Robust Design With Computer Experiments
J. Mech. Des (July,2006)
A New Variable-Fidelity Optimization Framework Based on Model Fusion and Objective-Oriented Sequential Sampling
J. Mech. Des (November,2008)
Scalable Adaptive Batch Sampling in Simulation-Based Design With Heteroscedastic Noise
J. Mech. Des (March,2021)
A
Data-Driven Approach for Process Optimization of Metallic Additive Manufacturing Under
Uncertainty
J. Manuf. Sci. Eng (August,2019)
Related Proceedings Papers
Related Chapters
The Simulation of Lunar Exploration and Image Transmission
International Conference on Advanced Computer Theory and Engineering (ICACTE 2009)
Model and Experimental Validation
Nonlinear Regression Modeling for Engineering Applications: Modeling, Model Validation, and Enabling Design of Experiments
An Interpolation FFT Algorithm for Harmonics Analysis Based on Maximum Side Lobe Decay Cosine Windows
International Conference on Mechanical and Electrical Technology, 3rd, (ICMET-China 2011), Volumes 1–3