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APPLICATION BRIEFS

Using Response Surface Approximations to Cover Holes in the Design Space: Conceptual Design of a Missile

[+] Author and Article Information
M. Alexandra Schönning, Jamal F. Nayfeh

University of Central Florida, Mechanical Materials and Aerospace Engineering Dept., Engineering Bldg 1, Room 307, 4000 Central Florida Blvd., Orlando, FL 32816-2450

P. Richard Zarda

Lockheed Martin Missile and Fire Control - Orlando, 5600 Sand Lake Road MP 135, Orlando, FL 32819-8907

J. Comput. Inf. Sci. Eng 2(3), 224-231 (Jan 02, 2003) (8 pages) doi:10.1115/1.1527056 History: Received July 01, 2002; Revised October 01, 2002; Online January 02, 2003
Copyright © 2002 by ASME
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References

Cramer,  , Dennis,  , Frank  , Lewis  , and Shubin  , 1994, “Problem Formulation for Multidisciplinary Optimization,” Siam Journal on Optimization, 4 (1994), pp. 754–776.
Alexandrov Natalia M., and Kodiyalam, Srinivas, 1998, “Initial Results of an MDO Method Evaluation Study,” Proceedings of the 7th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, AIAA, St. Louis, Missouri, September 2–4, 1998, Paper No. AIAA 98-4884.
Braun, Robert D., 1996, “Collaborative Optimization: An Architecture for Large-scale Distributed Design,” Ph.D. thesis, Stanford University.
Alexandrov, N. M., and Lewis, R. M., 1999, “Comparative Properties of Collaborative Optimization and Other Approaches to MDO,” Proceedings of the First ASMO UK/ISSMO Conference on Engineering Design Optimization.
Kodiyalam, Srinivas, 1998, “Evaluation of Methods for Multidisciplinary Design Optimization (MDO), Phase I,” NASA/CR-1998-208716.
Ahlqvist, M. Alexandra, 2001, “Dependency-Tracking Object-Oriented Multidisciplinary Design Optimization (MDO) Formulation on a Large-Scaled System,” Ph.D. thesis, University of Central Florida.
Sobieszczanski-Sobieski, Jaroslaw, and Haftka, Raphael T., 1996, “Multidisciplinary Aerospace Design Optimization: Survey of Recent Developments,” 34th AIAA Aerospace Sciences Meeting and Exhibit, Reno, Nevada, AIAA Paper No. 96-0711, January 15–18, 1996.
Sobieszczanski-Sobieski, Jaroslaw, Agte, Jeremy S., and Sandusky Jr., Robert R., 1998, “Bi-Level Integrated System Synthesis (BLISS),” Proceedings, 7th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, AIAA, St. Louis, Missouri, September 1998, AIAA Paper No. 98-4916.
Sobieszczanski-Sobieski, Jaroslaw, and Kodiyalam, Srinivas, 1999, “BLISS/S: A New method for two-level structural optimization,” Presented at the 40th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, St. Louis, MO April 12–15, 1999. AIAA Paper 99-1345.
iSIGHT Introduction to Application Development, 1999, “Training Guide,” Engineous Software Inc. Nov. 19.
Golovidov, Oleg, Kodiyalam, Srinivas, and Marineau, Peter, 1998, “Flexible Implementation of Approximation Concepts in an MDO Framework,” Proceedings of the 7th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, AIAA, St. Louis, Missouri, September 2–4, 1998, Paper No. 98-4959.
Kodiyalam, Srinivas, Lin, Jian Su, and Wujek, Brett A., 1998, “Design of Experiments Based Surface Models for Design Optimization,” Proceedings of the 39th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, Long Beach, CA, April 20–23, 1998.
Myers, Raymond H., and Montgomery, Douglas C., 1995, “Response Surface Methodology Process and Product Optimization Using Designed Experiments,” John Wiley & Sons, Inc., New York, NY.
Rodrı́guez, J. F., Pérez, V. M., Padmanabhan, D., and Renaud, J. E., 2001, “Sequential Approximate Optimization Using Variable Fidelity Response Surface Approximations,” Journal of the International Society for Structural and Multidisciplinary Optimization, Springer-Verlag, Germany.
Vanderplaats, Garret N., 1999, “Numerical Optimization Techniques for Engineering Design,” 3rd Edition, Second Printing, Vanderplaats Research and Development, Inc. Colorado Springs, CO.
Turban, Efraim, 1992, “Expert Systems and Applied Artificial Intelligence,” Macmillan Publishing Company, New York.
Vanderplaats, Garret N., 1999, “Numerical Optimization Techniques for Engineering Design,” 3rd Edition, Second Printing, Vanderplaats Research and Development, Inc. Colorado Springs, CO.
Turban, Efraim, 1992, “Expert Systems and Applied Artificial Intelligence,” Macmillan Publishing Company, New York.
Mäkinen, Raino A. E., Periaux, Jaques, and Toivanen, Jari, 1999, “Multidisciplinary Shape Optimization in Aerodynamics and Electromagnetics Using Genetic Algorithms,” International Journal for Numerical Methods in Fluids, 30 .
Levine, Ben, Simulated Annealing: a report for EE562, the Metropolis Algorithm. University of Tennessee. Available: http://microsys6.engr.utk.edu/∼levine/EE652/ (accessed on 2/14/00)
Walsh, J. L., Townsend, J. C., Salas, A. O., Samareh, J. A., Mukhopadhyay, V., and Barthelemy, J-F., 2000, “Multidisciplinary High-Fidelity Analysis and Optimization of Aerospace Vehicles, Part I: Formulation,” Proceedings of the 38th AIAA Aerospace Sciences Meeting and Exhibit, Reno, Nevada, AIAA 2000-0418, January 10–13, 2000.
Walsh, J. L., Weston, R. P., Samareh, J. A., Mason, B. H., Green L. L., and Biedron, R. T., 2000, “Multidisciplinary High-Fidelity Analysis and Optimization of Aerospace Vehicles, Part 2: Preliminary Results,” Proceedings of the 38th AIAA Aerospace Sciences Meeting and Exhibit, Reno, Nevada, AIAA 2000-0419, January 10–13, 2000.
Braun, R. D., Moore, A. A., and Kroo, I. M., 1996, “Use of the Collaborative Optimization Architecture for Launch Vehicle Design,” Sixth AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, Bellevue, Washington, AIAA Paper No. 96-4018, September 4–6, 1996.
Patnaik,  S. N., Hopkins, and  D. A., 2000, “General-purpose Optimization Method for Multidisciplinary Design Applications,” Adv. Eng. Software, 31 .
Methods Group, 2000, “Interactive Missile Design Training Manual,” Lockheed Martin Missile and Fire Control, Orlando, FL.
Myers, Raymond H., and Montgomery, Douglas, C., 1995, “Response Surface Methodology Process and Product Optimization Using Designed Experiments,” John Wiley & Sons, Inc., New York, NY.
Sobieszczanski-Sobieski, Jaroslaw, and Haftka, Raphael T., 1996, “Multidisciplinary Aerospace Design Optimization: Survey of Recent Developments,” 34th AIAA Aerospace Sciences Meeting and Exhibit, Reno, Nevada, AIAA Paper No. 96-0711, January 15–18, 1996.

Figures

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Missile design being optimized
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IMD disciplines and analysis codes
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Gradient-based analysis using the Multidisciplinary Feasible formulation
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(a) Desired gradient-based optimization path; (b) Gradient-based optimization path encountering a hole
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Problem of local optimum during gradient based optimization
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Face centered full factorial central composite design
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Optimization methodology including DOE and RSA
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A hole discovered at (1, −1) and selection of new design point
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(a) Gradient-path; (b) DOE data points
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(a) Actual function and data points sampled; (b) Response surface approximation based on data points sampled
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Objective function versus iteration number
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Mass constraint versus iteration number

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