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

Authors

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

References
  1. Zang, A., Hemsch, and Etal, J., Needs and Opportunities for Uncertainty-Based Multidisciplinary Design Methods for Aerospace Vehicles, NASA/Tm-2002.
  2. Noor, A. K., Nondeterministic Approaches, Presented in NASA Longley Research Center, Nasa/Cp-211050, 2001.
  3. Thaker, B. H., Errors and Uncertainties in Probabilistic Engineering Analysis, Presented in NASA Longley Research Center, NASA/Cp-211050,2001.
  4. Singhal, S. N., Summary of Nda Activities of Professional Societies, Presented in NASA Longley Research Center, NASA/Cp-211050, 2001.
  5. Buckley, J. J. and Jowers, L. J., Monte Carlo Methods in Fuzzy Optimization, Springer, 2008.
  6. Zentner, J., A Design Space Exploration Process for Large Scale Multi-Objective Computer Simulations, (PhD Thesis), Georgia Tech., 2006.
  7. Crespol, G., Optimization of Systems with Uncertainty: Initial developments for Performance, Robustness and Reliability Based Designs, NASA/Cr-211952, 2002.
  8. Choi, H. J., A Robust Design Method for Model and Propagated Uncertainty, (PhD Thesis), School of Mechanical Engineering, Georgia Institute of Technology, December 2005.
  9. Phadke, M. S., Quality Engineering Using Robust Design, Prentice Hall, 1989.
  10. 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,
  11. 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.
  12. Fadale, T., and Sues, R. H., “Reliability-Based Analysis and Optimal Design of an Integral Airframe Structure Lap Joint”, 40th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference and Exhibit, 1999, pp. 99-1604.
  13. 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.
  14. 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.
  15. 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.
  16. 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.
  17. Michael, J. G., Robust Control Systems, Wiley, 2006.
  18. Huyes, L., Airfoil Shape Optimization Under Uncertainty, Presented in NASA Longley Research Center, NASA/Cp-211050, 2001.
  19. 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.
  20. Croisard, N., Kemble, M., Vasile, M. and Radice, G., “Preliminary Space Mission Design Under Uncertainty”, Acta Astronautica, Vol. 66, Issues 5-6, 2009.
  21. 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.
  22. 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.
  23. 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.
  24. Koch, P. N., Wujek, B., and Golovidov, O., “A Multi-Stage, Parallel Implementation of Probabilistic Design Optimization in an MDO Framework,” 8th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, Long Beach, CA., Paper No. AIAA-4805, 2000.
  25. Marvis, D. N. and Delaurentis, D. A., “Uncertainty Modeling and Management in Multidisciplinary Analysis and Synthesis”, Presented at the 38th AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV, January 10-13, 2000.
  26. Sues, R. and Cesare, M., “An Innovative Framework for Reliability-Base MDO”, Presented at the 41st AIAA Structures/ Structural Dynamics and MaterialsConferece and Exhibit, Non-Deterministic Approaches Forum, 2000.
  27. Koch, P. N., Wujek, B., and Golovidov, O., “Facilitating Probabilistic Multidisciplinary Design Optimization Using Kriging Approximation Models”, 9th Aiaa/Issmo Symposium On Multidisciplinary Analysis And Optimization, Atlanta, Georgia, 2002.
  28. Akhtar, A. and Linshu, H., “An Efficient Evolutionary Multi-Objective Approach for Robust Design of Multi-Stage Space Launch Vehicle”, 11th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, Portsmouth, Virginia, 2006.
  29. Sun, J. and Zhang, G, “Multi-Disciplinary Design Optimization under Uncertainty for Thermal Protection System Applications”, 11th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, Portsmouth, Virginia, 2006.
  30. 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.
  31. 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.
  32. 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.
  33. Roshanian, J. and Ebrahimi, M., “Reliability Modification in Multidisciplinary Design Optimization of a Solid Propellant Launch Vehicle”, IAC, 2010.
  34. Weck, O., Agte, J. and Sobieszczanski, J., “State-of-the-Art and Future Trends in Multidisciplinary Design Optimization”, 48th Aiaa/Asme/Asce/Ahs/Asc Structures, Structural Dynamics, and Materials Conference, Honolulu, Hawaii, 23 - 26 April 2007.
  35. Zang, T. A., Optimizing the Design & Integration of The 21st Century System, Presented In NASA Longley Research Center, 2005.
  36. Good, N. A., Multi-Objective Design Optimization Considering Uncertainty in a Multi-Disciplinary Ship Synthesis Model, (M. Sc. Thesis), Virginia, 2006.
  37. Smith, N., “Probabilistic Design of Multidisciplinary Systems”, (PhD Thesis), in Civil Engineering Nashville, Tennessee, May, 2007.
  38. Thunnissen, D. P., Propagating and Mitigating Uncertainty in The Design of Complex Multidisciplinary Systems, (PhD Thesis), California Institute of Technology, 2005.
  39. 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.
  40. Benanzer, T., “System Design of Undersea Vehicles With Multiple Sources if Uncertainty”, (PhD Thesis), Wright State University, 2008.
  41. Laudati, R. P., “Utility Design for Reliability  Optimization with Six Sigma Tools”, 19th International Conference on Electricity Distribution Vienna, 2007.
Space Science and Technology
Volume 4, Issue 2 - Serial Number 9
January 2012
Pages 23-34
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History
  • Receive Date: 09 June 2014
  • Revise Date: 16 January 2024
  • Accept Date: 19 April 2016
  • First Publish Date: 19 April 2016
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