Survey on Nondeterministic Optimal Design and Its Applications in the Aerospace Industry

Roshanian, J.; Ebrahimi, M.; Bataleblu, A.

Survey on Nondeterministic Optimal Design and Its Applications in the Aerospace Industry

Authors

J. Roshanian

M. Ebrahimi

A. Bataleblu

SLDC, Aerospace Eng. Dept., K.N.Toosi Univ. of Tech

Abstract

The purpose of this paper is introducing the concept of nondeterministic optimal design or optimal design in the presence of uncertainty based on researches done in the past two decades. Therefore, after an introduction about uncertainty, the uncertainty and uncertainty modeling techniques are described. After that, thetraditionalmethodof dealingwith uncertaintyin thedesignis described. The importance of paying attention to the uncertainty and its benefits for different projects and companies is described. The third section is dedicated to introducing the methods of interval analysis, fuzzy logic and probability analysis, which are used in the analysis of uncertainty.The two general categories of nondeterministic design problems, the robust optimal design and reliability-based optimal design are reviewed. The next section introduces the application of nondeterministic design methods in the different disciplines and recent researches in the world on this topic. Finally, future aspects and challenges of the nondeterministic design are addressed.

Keywords

Multidisciplinary design optimization

robust design

design reliability

Article Title Persian

مروری بر طراحی بهینة نامعین و کاربردهای آن در صنعت هوافضا

Authors Persian

جعفر روشنی یان

مسعود ابراهیمی

علی اصغر بطالبلو

صنعتی خواجه نصیرالدین طوسی

Abstract Persian

هدف از این مقاله معرفی مفهوم طراحی بهینة نامعین یا طراحی بهینه در حضور عدم قطعیت بر مبنای فعالیت‌های تحقیقاتی صورت گرفته در دو دهة اخیر است. بدین منظور پس از بیان مقدمه‌ای در مورد عدم قطعیت‌ها، تعریف عدم قطعیت و روش‌های مد‌‌‌ل‌سازی عدم قطعیت‌ها بیان شده‌اند. پس از آن روش مقابله با عدم قطعیت‌ها در طراحی سنتی تشریح شده است. در ادامه به اهمیت توجه به عدم قطعیت‌ها در طراحی سیستم‌های امروزی پرداخته شده و نمونه‌های مختلفی از مزایای آن در پروژه‌ها و شرکت‌های مختلف بیان می‌شود. قسمت سوم، به معرفی روش‌های تحلیل بازه، منطق فازی و تحلیل احتمالی که در تحلیل عدم قطعیت‌ها کاربرد دارند، اختصاص دارد. در ادامه دو دسته کلی مسائل طراحی نامعین، یعنی مسائل طراحی بهینة مقاوم و طراحی بهینه بر مبنای قابلیت اطمینان مورد بررسی قرار می‌گیرند. بخش بعد به معرفی کاربردهای موضوعی روش‌های طراحی نامعین و تحقیقات روز دنیا در این زمینه می‌پردازد. در نهایت چالش‌ها و چشم‌انداز روش‌های طراحی نامعین بیان می‌شوند.

Keywords Persian

بهینه‌سازی طراحی چند موضوعی

طراحی مقاوم

قابلیت اطمینان طراحی

Zang, A., Hemsch, and Etal, J., Needs and Opportunities for Uncertainty-Based Multidisciplinary Design Methods for Aerospace Vehicles, NASA/Tm-2002.
Noor, A. K., Nondeterministic Approaches, Presented in NASA Longley Research Center, Nasa/Cp-211050, 2001.
Thaker, B. H., Errors and Uncertainties in Probabilistic Engineering Analysis, Presented in NASA Longley Research Center, NASA/Cp-211050,2001.
Singhal, S. N., Summary of Nda Activities of Professional Societies, Presented in NASA Longley Research Center, NASA/Cp-211050, 2001.
Buckley, J. J. and Jowers, L. J., Monte Carlo Methods in Fuzzy Optimization, Springer, 2008.
Zentner, J., A Design Space Exploration Process for Large Scale Multi-Objective Computer Simulations, (PhD Thesis), Georgia Tech., 2006.
Crespol, G., Optimization of Systems with Uncertainty: Initial developments for Performance, Robustness and Reliability Based Designs, NASA/Cr-211952, 2002.
Choi, H. J., A Robust Design Method for Model and Propagated Uncertainty, (PhD Thesis), School of Mechanical Engineering, Georgia Institute of Technology, December 2005.
Phadke, M. S., Quality Engineering Using Robust Design, Prentice Hall, 1989.
Benanzer, T. W., Grandhi, R. V. and Krol, W. P., “Reliability-Based Optimization of Design Variance to Identify Critical Tolerances”, Advances in Engineering Software, 40, 2009, pp. 305–311,
Lee, I., Choi, K. K. and Gorsich, D., “Inverse Analysis Method Using Mpp-Based Dimension Reduction for Reliability-Based Design Optimization of Nonlinear and Multi-Dimensional Systems”, Computer Methods in Applied Mechanics and Engineering, 198, Issue. 1, 2008, pp. 14–27.
Fadale, T., and Sues, R. H., “Reliability-Based Analysis and Optimal Design of an Integral Airframe Structure Lap Joint”, 40^thAIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference and Exhibit, 1999, pp. 99-1604.
Lonn, D., Fyllingen, O. and Nilssona, L., “An Approach to Robust Optimization of Impact Problems Using Random Samples and Meta-Modelling”, International Journal of Impact Engineering, 37, Issue 6, 2009, pp. 1–12.
Song, S., Lu, Z. and Qiao, H., “Subset Simulation for Structural Reliability Sensitivity Analysis”, Reliability Engineering and System Safety, 94, Issue 2, 2009, pp 658–665.
Samson, S., Reneke, J. A. and Wiecek, M. M., “A Review of Different Perspectives on Uncertainty And Risk and Analternative Modeling Paradigm”, Reliability Engineering And System Safety 94, Issue 2, 2009, pp. 558– 567.
Kim, T. H., Maruta, I. and Sugie, T., “Robust Pid Controller Tuning Based On The Constrained Particle Swarm Optimization”, Automatica, 44, Issue 4, 2008, pp. 1104 – 1110.
Michael, J. G., Robust Control Systems, Wiley, 2006.
Huyes, L., Airfoil Shape Optimization Under Uncertainty, Presented in NASA Longley Research Center, NASA/Cp-211050, 2001.
Bozkaya, K., Akok, M., “Reliability Improvement of a Solid Rocket Motor Design in Early Phase”, Journal of Space Craft and Rocket, Vol. 45, No. 4, 2009, pp.654-664.
Croisard, N., Kemble, M., Vasile, M. and Radice, G., “Preliminary Space Mission Design Under Uncertainty”, Acta Astronautica, Vol. 66, Issues 5-6, 2009.
Jiang Z., Ordóñez R., “On-Line Robust Trajectory Generation On Approach And Landing for Reusable Launch Vehicles”, Automatica, 45, Issue 7, 2009, pp. 1668_1678.
DU, X. and Chen, W., “Collaborative Reliability Analysis under the Framework of Multidisciplinary Systems Design”, Optimization and Engineering, Vol. 6, No. 1, 2005, pp. 63–84.
Gu, X, Ranaud, J, Batill, S, Brach, R. and Budhiraja, A., “Worst Casepropagated Uncertainty of Multidisciplinary Systems in Robust Design Optimization”, Struct Multidisciplin Optim, 20, No. 3, 2000, pp. 190–213.
Koch, P. N., Wujek, B., and Golovidov, O., “A Multi-Stage, Parallel Implementation of Probabilistic Design Optimization in an MDO Framework,” 8^thAIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, Long Beach, CA., Paper No. AIAA-4805, 2000.
Marvis, D. N. and Delaurentis, D. A., “Uncertainty Modeling and Management in Multidisciplinary Analysis and Synthesis”, Presented at the 38^th AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV, January 10-13, 2000.
Sues, R. and Cesare, M., “An Innovative Framework for Reliability-Base MDO”, Presented at the 41^st AIAA Structures/ Structural Dynamics and MaterialsConferece and Exhibit, Non-Deterministic Approaches Forum, 2000.
Koch, P. N., Wujek, B., and Golovidov, O., “Facilitating Probabilistic Multidisciplinary Design Optimization Using Kriging Approximation Models”, 9^th Aiaa/Issmo Symposium On Multidisciplinary Analysis And Optimization, Atlanta, Georgia, 2002.
Akhtar, A. and Linshu, H., “An Efficient Evolutionary Multi-Objective Approach for Robust Design of Multi-Stage Space Launch Vehicle”, 11^th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, Portsmouth, Virginia, 2006.
Sun, J. and Zhang, G, “Multi-Disciplinary Design Optimization under Uncertainty for Thermal Protection System Applications”, 11^th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, Portsmouth, Virginia, 2006.
Hassan, R. and Crossley, W., “Spacecraft Reliability-Based Design Optimization Under Uncertainty Including Discrete Variables”, Journal of Spacecraft and Rockets, Vol. 45, No. 2, 2008, pp. 394-405.
Roshanian, J., Jodei, J. and Ebrahimi, M., “Multidisciplinary Design Optimization of a Small Solid Propellant Launch Vehicle Using System Sensitivity Analysis”, Structural and Multidisciplinary Optimization Journal, Vol. 38, No. 1, Springer, 2009, pp. 93-100.
Roshanian, J., Ebrahimi, M. and Farmani, M., “Multidisciplinary Design of a Small Satellite Launch Vehicle Using Particle Swarm Optimization”, Structural and Multidisciplinary Optimization Journal, Vol.44, No. 6, Springer, 2011, pp. 773-784.
Roshanian, J. and Ebrahimi, M., “Reliability Modification in Multidisciplinary Design Optimization of a Solid Propellant Launch Vehicle”, IAC, 2010.
Weck, O., Agte, J. and Sobieszczanski, J., “State-of-the-Art and Future Trends in Multidisciplinary Design Optimization”, 48^th Aiaa/Asme/Asce/Ahs/Asc Structures, Structural Dynamics, and Materials Conference, Honolulu, Hawaii, 23 - 26 April 2007.
Zang, T. A., Optimizing the Design & Integration of The 21^st Century System, Presented In NASA Longley Research Center, 2005.
Good, N. A., Multi-Objective Design Optimization Considering Uncertainty in a Multi-Disciplinary Ship Synthesis Model, (M. Sc. Thesis), Virginia, 2006.
Smith, N., “Probabilistic Design of Multidisciplinary Systems”, (PhD Thesis), in Civil Engineering Nashville, Tennessee, May, 2007.
Thunnissen, D. P., Propagating and Mitigating Uncertainty in The Design of Complex Multidisciplinary Systems, (PhD Thesis), California Institute of Technology, 2005.
Martin, J. D., “A Methodology for Evaluating System-Level Uncertainty in the Conceptual Design of Complex Multidisciplinary Systems”, (PhD Thesis), In Mechanical Engineering, Pennsylvania State University, 2005.
Benanzer, T., “System Design of Undersea Vehicles With Multiple Sources if Uncertainty”, (PhD Thesis), Wright State University, 2008.
Laudati, R. P., “Utility Design for Reliability Optimization with Six Sigma Tools”, 19^th International Conference on Electricity Distribution Vienna, 2007.