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Structural and Multidisciplinary Optimization

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01.05.2012 | Review Article

A survey of multidisciplinary design optimization methods in launch vehicle design

verfasst von: Mathieu Balesdent, Nicolas Bérend, Philippe Dépincé, Abdelhamid Chriette

Erschienen in: Structural and Multidisciplinary Optimization | Ausgabe 5/2012

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Abstract

Optimal design of launch vehicles is a complex problem which requires the use of specific techniques called Multidisciplinary Design Optimization (MDO) methods. MDO methodologies are applied in various domains and are an interesting strategy to solve such an optimization problem. This paper surveys the different MDO methods and their applications to launch vehicle design. The paper is focused on the analysis of the launch vehicle design problem and brings out the advantages and the drawbacks of the main MDO methods in this specific problem. Some characteristics such as the robustness, the calculation costs, the flexibility, the convergence speed or the implementation difficulty are considered in order to determine the methods which are the most appropriate in the launch vehicle design framework. From this analysis, several ways of improvement of the MDO methods are proposed to take into account the specificities of the launch vehicle design problem in order to improve the efficiency of the optimization process.

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Agte J (2005) A tool for application of bi-level integrated system synthesis to multidisciplinary design optimization problems. In: DGLR-2005-241, German air and space congress, Friedrichshafen, Germany

Agte J, de Weck O, Sobieszczanski-Sobieski J, Arendsen P, Morris A, Spieck M (2009) MDO: assessment and direction for advancement—an opinion of one international group. Struct Multidisc Optim. doi:10.1007/s00158-009-0381-5

Akhtar S, Linshu H (2005) Simulation-based optimization strategy for liquid fueled multi-stage space launch vehicle. In: 6th international conference on parallel and distributed computing, applications and technologies (PDCAT’05). Dalian, China

Akhtar S, Linshu H (2006) Support vector regression-driven multidisciplinary design optimization for multi-stage launch vehicle considering throttling effect. In: 44th AIAA aerospace sciences meeting and exhibit. Reno, Nevada, USA

Alaya I, Solnon C, Ghedira K (2007) Ant colony optimization for multi-objective optimization problems. In: 19th IEEE international conference on tools with artificial intelligence. Patras, Greece

Alexandrov N, Hussaini M (1995) Multidisciplinary design optimization: state of the art. In: Proceedings of the ICASE/NASA Langley workshop on multidisciplinary design optimization, SIAM proceedings series

Alexandrov N, Lewis R (2000) Algorithmic perspectives on problem formulations in MDO. In: 8th AIAA/UASAF/NASA/ISSMO symposium on multidisciplinary analysis & optimization. Long Beach, CA, USA

Allison J (2004) Complex system optimization: a comparison of analytical target cascading, collaborative optimization and other formulations. Ph.D. thesis, University of Michigan, USA

Allison J, Kokkolaras M, Zawislak M, Papalambros P (2005) On the use of analytical target cascading and collaborative optimization for complex system design. In: 6th world congress on structural and multidisciplinary optimization, 30 May–3 June, Rio de Janeiro, Brazil

Altus T (2002) A response surface methodology for Bi-Level Integrated System Synthesis (BLISS). NASA Technical Report n° NASA/CR-2002-211652. NASA Langley Research Center, USA

Auroux D, Clément J, Hermetz J, Masmoudi M, Parte Y (2009) Etat de l’art et nouvelles tendances en conception collaborative. Optimisation multidisciplinaire en mécanique. Hermes Science, ISTE Wiley, London

Bäck T (1996) Evolutionary algorithms in theory and practice. Oxford University Press, OxfordMATH

Balesdent M, Bérend N, Dépincé P (2010a) Optimal design of expendable lauch vehicles using stage-wise MDO formulation. In: 13th AIAA/ISSMO multidisciplinary analysis and optimization conference. Fort Worth, Texas, USA. AIAA-2010-9324

Balesdent M, Bérend N, Dépincé P, Chriette A (2010b) Multidisciplinary design optimization of a multi-stage launch vehicle using flight phases decomposition. In: 3rd international conference on multidisciplinary design optimization and applications. Paris, France

Balling R, Sobieszczanski-Sobieski J (1994) Optimization of coupled systems: a critical overview of approaches. NASA/ICASE Report n° 94-100

Balling R, Wilkinson C (1997) Execution of multidisciplinary design optimization approaches on common test problems. AIAA J 35(1):178–186MATHCrossRef

Bayley D, Hartfield R (2007) Design optimization of space launch vehicles for minimum cost using a genetic algorithm. In: 43rd AIAA/ASME/SAE/ASEE joint propulsion conference and exhibit. Cincinnati, OH, USA. AIAA-2007-5852

Bayley D, Hartfield R, Burkhalter J, Jenkins R (2008) Design optimization of a space launch vehicle using a genetic algorithm. J Spacecr Rockets 45(4):733–740CrossRef

Betts J (1998) Survey of numerical methods for trajectory optimization. J Guid Control Dyn 21(2):193–207MATHCrossRef

Boman E (1999). Infeasibility and negative curvature in optimization. Ph.D. thesis, Stanford University, USA

Braun R (1996) Collaborative optimization: an architecture for large-scale distributed design. Ph.D. thesis, Stanford University, USA

Braun R, Kroo I (1995) Development and application of the collaborative optimization architecture in a multidisciplinary design environment. In: Multidisciplinary design optimization: state of the art. SIAM, Philadelphia, pp 98–116

Braun R, Kroo I, Gage P (1993) Post-optimality analysis in aerospace vehicle design. In: AIAA aircraft design, systems and operations meeting. Monterey, CA, USA

Braun R, Kroo I, Lepsch R, Powell R, Stanley D (1995) Comparison of two multidisciplinary optimization strategies for launch vehicle design. J Spacecr Rockets 32(3):404–410CrossRef

Braun R, Moore A, Kroo I (1996) Use of the collaborative optimization architecture for launch vehicle design. In: 6th AIAA/USAF/NASA/ISSMO symposium on multidisciplinary analysis and optimization. Bellevue, WA, USA

Briggs G, Ray T, Milthorpe J (2007a). Evolutionary algorithm use in optimisation of a launch vehicle stack model. In: 45th AIAA aerospace sciences meeting and exhibit. Reno, Nevada, USA. AIAA-2007-364

Briggs G, Ray T, Milthorpe J (2007b) Optimal design of an Australian medium launch vehicle. Innov Syst Softw Eng 2(3):105–116CrossRef

Brown N, Olds J (2005) Evaluation of Multidisciplinary Optimization (MDO) techniques applied to a reusable launch vehicle. In: 43rd AIAA aerospace sciences meeting and exhibit. Reno, Nevada, USA

Brown N, Olds R (2006) Evaluation of multidisciplinary optimization techniques applied to a reusable launch vehicle. J Spacecr Rockets 43:1289–1300CrossRef

Bryson A (1999) Dynamic optimization. Addison-Wesley, Menlo-Park

Bryson A, Ho Y-C (1975) Applied optimal control: optimization, estimation and control, revised printing. Taylor & Francis, Levittown

Castellini F, Lavagna M, Erf S (2008) Concurrent optimization of launcher architectures and ascent trajectories with global optimization algorithms. In: 59th international astronautical congress (IAC). Glasgow, Scotland

Clément J (2009) Optimisation multi-disciplinaire: étude théorique et application à la conception des avions en phase d’avant projet. Ph.D. thesis, Institut Supérieur de l’Aéronautique et de l’Espace. Toulouse, France

Coello C (1998) An updated survey of GA-based multi-objective optimization techniques. Technical Report RD-98-08. Laboratorio Nacional de Informatica Avanzada (LNIA). Xalapa, Veracruz, Mexico

Coello C (1999) A comprehensive survey of evolutionary-based multi-objective optimization. Knowl Inf Syst 1(3):129–137

Cormier T, Scott A, Ledsinger L, McCormick D, Way D, Olds R (2000) Comparison of collaborative optimization to conventional design techniques for a conceptual RLV. In: 8th AIAA/USAF/NASA/ISSMO symposium on multidisciplinary analysis and optimization. Long Beach, CA, USA

Cramer E, Dennis J, Frank P, Lewis R, Shubin G (1994) Problem formulation for multidisciplinary optimization. SIAM J Optim 4:754–776MathSciNetMATHCrossRef

Delattre N, Mongrard O (2007) The use of multidisciplinary optimization for the design of expendable launchers. In: 2nd European conference for aerospace sciences (EUCASS). Brussels, Belgium

DeMiguel A (2001) Two decomposition algorithms for nonconvex optimization problems with global variables. Ph.D. thesis, Stanford University, USA

DeMiguel A, Murray W (2000) An analysis of collaborative optimization methods. In: 8th AIAA/USAF/NASA/ISSMO symposium on multidisciplinary analysis and optimization. Long Beach, CA, USA

Doerner K, Gutjahr W, Hartl W, Strauss R, Stummer C (2001) Ant colony optimization in multiobjective porfolio selection. In: 4th metaheuristics international conference. Porto, Portugal

Dorigo M, Süzle T (2004) Ant colony optimization. MIT Press, CambridgeMATHCrossRef

Du X, Chen W (2002) Efficient uncertainty analysis methods for multidisciplinary robust design. AIAA J 40(3):545–552CrossRef

Duranté N, Dufour A, Pain V (2004) Multidisciplinary analysis and optimisation approach for the design of expendable launchers. In: 10th AIAA/ISSMO multidisciplinary analysis and optimization conference. Albany, New-York, USA

Filatyev A, Golikov A (2008) The complex approach to optimization of STS parameters on the maximum principle basis. In: 59th international astronautical congress (IAC). Glasgow, Scotland

Filatyev A, Golikov A, Shanygin A, Voityshen V (2009) The local distributed criteria method for multidisciplinary optimization of launchers parameters. Acta Astron 65:584–590CrossRef

Fletcher R (1987) Practical methods of optimization, 2nd edn. Wiley, New YorkMATH

Fonseca C, Fleming P (1993) Genetic algorithms for multi-objective optimization: formulation, discussion and generalization. In: Forrest S (ed) 5th international conference on genetic algorithms. San Mateo, CA, USA

Gang C, Min X, Zi-ming W, Si-Lu C (2005) Multidisciplinary design optimization of RLV reentry trajectory. In: 13th AIAA/CIRA international space planes and hypersonices systems and technologies. Capua, Italy

Geethaikrishnan C, Mujumbar P, Sudhakar K, Adimurthy VV (2008) Genetic algorithm guided gradient search for launch vehicle trajectory optimization. In: International conference on aerospace science and technology. Bangalore, India

Gill P, Murray W, Wright M (1981) Practical optimization. Academic, New YorkMATH

Gill P, Murray W, Sainders M, Wright M (1986) Users guide for NPSOL (version 4.0): a Fortran package for nonlinear programming. Technical Report SOL 86-2. Stanford University, USA

Han J, Papalambros P (2010) A note on the convergence of analytical target cascading with infinite norms. J Mech Des 132:034502CrossRef

Hargraves C, Paris S (1987) Direct trajectory optimization using nonlinear programming and collocation. J Guid Control Dyn 10(4):338–342MATHCrossRef

Holland J (1975) Adaptation in natural and artificial systems. University of Michigan Press, Ann Arbor

Huang C, Bloebaum C (2004) Multi-objective Pareto concurrent subspace optimization for multidisciplinary design. In: 42nd AIAA aerospace sciences meeting and exhibit. Reno, Nevada, USA

Jodei J, Ebrahimi M, Roshanian J (2006) An automated approach to multidisciplinary system design optimization of small solid propellant launch vehicles. In: 1st ISSCAA international symposium on systems and control in aerospace and astronautics. Harbin, China

Jodei J, Ebrahimi M, Roshanian J (2009) Multidisciplinary design optimization of a small solid propellant launch vehicle using system sensitivity analysis. Struct Multidisc Optim 38:93–100CrossRef

Kalden O (2007) Multidisciplinary design and trajectory optimization of the reusable launch vehicle concept Hopper. In: 3rd international conference on recent advances in space technologies. Istanbul, Turkey

Keane A, Nair P (2005) Computational approaches for aerospace design: the pursuit of excellence. Wiley, New YorkCrossRef

Kim H (2001) Target cascading in optimal system design. Ph.D. thesis, University of Michigan

Kim H, Chen W, Wiecek M (2006) Lagrangian coordination for enhancing the convergence of analytical target cascading. AIAA J 44(10):2197–2207CrossRef

Kirkpatrick S, Gelatt C, Vecchi J (1983) Optimization by simulated annealing. Science, New Series 220(4598):671–680MathSciNetMATH

Kodiyalam S (1998) Evaluation of methods for Multidisciplinary Design Optimization (MDO), phase 1. NASA/CR-1998-20716

Kodiyalam S (2000) Evaluation of methods for Multidisciplinary Design optimization (MDO), phase 2. NASA/CR-2000-210313

Kroo I (2004) Distributed multidisciplinary design and collaborative optimization. In: VKI lecture series on optimization methods and tools for multicriteria/multidisciplinary design

Kudryavtsev L (2001) Implicit function. In: Hazewinkel M ed. Encyclopaedia of mathematics. Springer, New York

Kuratani N, Suzuki H, Goeklich RA (2005) Multidisciplinary optimization of space transportation systems. In: 56th international astronautical congress of the international astronautical federation. Fukuoka, Japan

Laurent-Varin J, Bolanowski O, Cristiani E, Zidani H (2009) Trajectory optimization of launcher with Hamilton–Jacobi–Bellman approach. In: 3rd European conference for aerospace sciences. Versailles, France

Ledsinger L, Olds J (2002) Optimized solutions for Kistler K-1 Branching Trajectories using Multidisciplinary Design Optimization techniques. J Spacecr Rockets 39(3):420–429CrossRef

Lee J-W, Choi Y-C, Byun Y-H (2005a). Optimal supersonic air-launching rocket design using multi-disciplinary system optimization approach. J Korean Soc Aeronaut Space Sci 33:12

Lee J-W, Jeon K-S, Byun Y-H, Kim S-J (2005b) Optimal space launcher design using a refined response surface method. In: Lecture notes in computer science, vol 3613/2005. Springer, Berlin

Liu X, Xiang A, Gang T (1997) A new efficient method of multi-stage solid rocket optimization. In: 33rd AIAA/ASME/SAE/ASEE joint propulsion conference and exhibit. Seattle, WA, USA

Luo Y, Liang Y, Zhou L (2004) Multi-level, multi-objective and multidisciplinary optimization design of a series of launch vehicles. In: 55th international astronautical congress. Vancouver, Canada

Martins J, Marriage C (2007) An object-oriented framework for Multidisciplinary Design Optimization. In: 3rd AIAA multidisciplinary design optimization specialist conference. Waikiki, Hawaii, USA

Masmoudi M, Parte Y (2006) Discipline Interaction Variable Elimination (DIVE) approach for MDO. In: European conference on computational fluid dynamics (ECCOMAS CFD). Egmond aan Zee, The Netherlands

Masmoudi M, Parte Y, Hermetz J, Clement J (2008) DIVE: a new approach for multidisciplinary optimization. In: 5th European congress on computational methods in applied sciences (ECCOMAS). Venice, Italy

Metropolis N, Rosenbluth A, Rosenbluth M, Teller A, Teller E (1953) Equations of state calculations by fast computing machines. J Chem Phys 21:1087–1092CrossRef

Michelena N, Kim H, Papalambros P (1999) A system partitioning and optimization approach to target cascading. In: Proceedings of the 12th international conference on engineering design. Munich, Germany

Michelena N, Park H, Papalambros P (2003) Convergence properties of analytical target cascading. AIAA J 41(5):897–905CrossRef

Moore A, Braun R, Powell R (1995) Optimal technology investment strategies for a reusable launch vehicle. In: AIAA space programs and technologies conference. Huntsville, AL, USA

Nocedal J, Wright S (2006) Numerical optimization, 2nd edn. Springer, BerlinMATH

Olds J (1992) The suitability of selected multidisciplinary design and optimization techniques to conceptual aerospace vehicle design. In: 4th AIAA/USAF/NASA/OAI symposium on multidisiciplinary analysis and optimization. Cleveland, OH, USA

Olds J (1994) System sensitivity analysis applied to the conceptual design of a dual-fuel rocket SSTO. In: 5th AIAA/NASA/USAF/ISSMO symposium on multidisciplinary analysis and optimization. Panama City Beach, FL, USA

Olds J, Walberg G (1993) Multidisciplinary design of a rocket-based combined cycle SSTO launch vehicle using Taguchi methods. In: AIAA/AHS/ASEE aerospace design conference. Irvine, CA, USA

Pareto V (1971) Manual of political economy. A.M. Kelley, New York

Perez V, Renaud J, Watson L (2002) Adaptive experimental design for construction of response surface approximations. AIAA J 40(12):2495–2503CrossRef

Perrot L (2003) Optimisation of reusable launchers by decomposition and coordination of trajectory optimisation problems. In: 5th international conference on launcher technology, space launchers: missions, control and avionics. Madrid , Spain

Pontryagin L, Boltyansky V, Gamkrelidze R, Mischenko E (1962) The mathematical theory of optimal processes. Interscience, New YorkMATH

Qu M, Gage P, Sohn J, Bradford J, Starr B (2004) Generalized vehicle performance closure model for two-stage-to-orbit launch vehicles. In: 42nd AIAA aerospace sciences meeting and exhibit. Reno, Nevada, USA

Rafique A, LinShu H, Zeeshan Q, Nisar K, Xiaowei W (2009a) Hybrid optimization method for multidisciplinary design of air launched satellite launch vehicle. In: 45th AIAA/ASME/SAE/ASEE joint propulsion conference & exhibit. Denver, Colorado, USA

Rafique A, LinShu H, Zeeshan Q, Nisar K, Xiaowei W (2009b) Integrated system design of air launched small space launch vehicle using genetic algorithm. In: 45th AIAA/ASME/SAE/ASEE joint propulsion conference & exhibit. Denver, Colorado, USA

Rahn M, Schöttle U (1994) Decomposition algorithm for flight performance and system optimization of an airbreathing launch vehicle. In: 45th congress of International Astronautical Federation. Jerusalem, Israel. IAF-94.A.2.018

Renaud J, Gabriele G (1993) Improved coordination in nonhierarchic system optimization. AIAA J 31(12):2367–2373MATHCrossRef

Renaud J, Gabriele G (1994) Approximation in nonhierarchic system optimization. AIAA J 32(1):198–205MATHCrossRef

Rodriguez J, Renaud J, Watson L (1998) Trust region augmented Lagrangian methods for sequential response surface approximation and optimization. J Mech Des 120:58–66CrossRef

Rodriguez J, Perez V, Padmanabhan D, Renaud J (2001) Sequential approximate optimization using variable fidelity response surface approximations. Struct Multidisc Optim 22(1):24–34CrossRef

Sellar R, Batill S (1996) Concurrent subspace optimization using gradient-enhanced neural network approximations. In: 6th AIAA/NASA/USAF multidisciplinary analysis and optimization symposium. Bellevue, WA, USA

Sellar R, Batill S, Renaud J (1996) Response surface based, concurrent subspace optimization for multidisciplinary system design. In: 34th AIAA aerospace sciences meeting and exhibit. Reno, Nevada, USA

Serafini P (1992) Simulated annealing for multiple objective optimization problems. In: 10th international conference on multiple criteria decision making. Taipei, Taiwan

Sobieski I (1993) Multidisciplinary design optimization: attempt at definition. In: Industry university workshop on multidisciplinary aircraft design, pp 23–48

Sobieski I, Kroo I (2000) Collaborative optimization using response surface estimation. AIAA J 38(10):1931–1938CrossRef

Sobieszczanski-Sobieski J (1988) Optimization by decomposition: a step from hierarchic to non-hierarchic systems. NASA Technical Report CP-3031

Sobieszczanski-Sobieski J (1990) Sensitivity of complex internally coupled systems. AIAA J 28(1):153–160CrossRef

Sobieszczanski-Sobieski J, Haftka R (1997) Multidisciplinary aerospace design optimization: survey of recent developments. Struct Optim (14):1–23

Sobieszczanski-Sobieski J, Agte J, Sandusky R (1998) Bi-Level Integrated System Synthesis (BLISS). NASA/TM-1998-208715

Sobieszczanski-Sobieski J, Emiley M, Agte J, Sandusky R (2000) Advancement of Bi-Level Integrated System Synthesis (BLISS). NASA/TM-2000-210305

Sobieszczanski-Sobieski J, Altus T, Phillips M, Sandusky R (2003) Bi-level Integrated System Synthesis for concurrent and distributed processing. AIAA J 41(10):1996–2003CrossRef

Tava M, Suzuki S (2002) Multidisciplinary Design Optimization of the shape and trajectory of a reentry vehicle. Trans Jpn Soc Aeronaut Space Sci 45(147):10–19CrossRef

Tava M, Suzuki S (2003) Integrated multidisciplinary and multicriteria optimization of a space transportation system and its trajectory. In: 54th international astronautical congress of the International Astronautical Federation. Bremen, Germany

Tedford N, Martins J (2010) Benchmarking multidisciplinary design optimization algorithms. Optim Eng 11:159–183MathSciNetCrossRef

Tosserams S, Etman L, Rooda J (2009) A classification of methods for distributed system optimization based on formulation structure. Struct Multidisc Optim

Tosserams S, Kokkolaras M, Etman L, Rooda J (2010) A nonhierarchical formulation of analytical target cascading. J Mech Des 23:051002CrossRef

Tsuchiya T, Mori T (2002) Multidisciplinary Design Optimization to future space transportation vehicles. In: AIAA-2002-5171

Tsuchiya T, Mori T (2004) Optimal conceptual design of two-stage reusable rocket vehicles including trajectory optimization. J Spacecr Rockets 41(5):770–778CrossRef

Ulungu E, Teghem J, Fortemps P, Tuyttens D (1999) MOSA method: a tool for solving multi-objective combinatorial optimization problems. J Multi-Crit Decis Anal 8:221–2396MATHCrossRef

Vanderplaats G (1999) Numerical optimization techniques for engineering and design, 3rd edn. Vanderplaats Research & Development, Inc., Colorado Springs

Villeneuve F, Mavris D (2005) A new method of architecture selection for launch vehicles. In: 13th AIAA/CIRA international space planes and hypersonics systems and technologies. Capua, Italy

Wujek B, Renaud J, Batill S (1997) A concurrent engineering approach for multidisciplinary design in a distributed computing environment. In: Alexandrov N, Hussaini MY (eds) Multidisciplinary Design Optimization: state-of-the-art. SIAM series: Proceedings in applied mathematics, vol 80, pp 189–208

Wujek B, Renaud J, Batill S, Brockman J (1996) Concurrent subspace optimization using design variable sharing in a distributed computing environment. Concurr Eng 4(4):361–377CrossRef

Yokoyama N, Suzuki S, Tsuchiya T, Taguchi H, Kanda T (2005) Multidisciplinary Design Optimization of SSTO space plane considering rigid body characteristics. In: 42nd AIAA aerospace sciences meeting and exhibit. Reno, Nevada, USA

Yokoyama N, Suzuki S, Tsuchiya T, Taguchi H, Kanda T (2007) Multidisciplinary Design Optimization of SSTO space plane considering rigid body characteristics. J Spacecr Rockets 44(1):121–131CrossRef

Zitzler E (1999) Evolutionary algorithms for multi-objective optimization: methods and applications. Ph.D. thesis, Department of Computer Science, Swiss Federal Institute of Technology (ETH), Zurich

Titel: A survey of multidisciplinary design optimization methods in launch vehicle design
verfasst von: Mathieu Balesdent
Nicolas Bérend
Philippe Dépincé
Abdelhamid Chriette
Publikationsdatum: 01.05.2012
Verlag: Springer-Verlag
Erschienen in: Structural and Multidisciplinary Optimization / Ausgabe 5/2012
Print ISSN: 1615-147X
Elektronische ISSN: 1615-1488
DOI: https://doi.org/10.1007/s00158-011-0701-4

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