Skip to main content
Erschienen in: Optimization and Engineering 2/2015

01.06.2015

A modified variable complexity modeling for efficient multidisciplinary aircraft conceptual design

verfasst von: Nhu Van Nguyen, Maxim Tyan, Jae-Woo Lee

Erschienen in: Optimization and Engineering | Ausgabe 2/2015

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

This paper describes a modified variable complexity modeling (MVCM) framework that uses a neural network to replace the Taylor series after several warm-up iterations. The MVCM framework with an additive scaling function is most efficient in terms of high-fidelity function evaluation savings compared with traditional variable complexity modeling (VCM) among multiplicative and hybrid scaling functions. The MVCM framework achieves 59.1 and 68.6 % savings in high-fidelity function evaluations for one-dimensionally and two-dimensionally constrained problems, respectively, compared with the VCM method. The MVCM framework provides a larger trust region than the VCM due to the global behavior of neural networks. The MVCM solution also converges closely to the high-fidelity function. The MVCM framework is integrated with an in-house low-fidelity aircraft design synthesis program and a high-fidelity analysis (AADL3D) for the conceptual design of multidisciplinary regional jet aircraft (RJA) to enhance the optimal RJA configuration compared with low-fidelity analysis results. The optimal RJA wing configuration using the MVCM framework provides more realistic and reasonable configurations compared to the results of low-fidelity analysis with a short turnaround time.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literatur
Zurück zum Zitat Alexandrov NM, Lewis RM (2002) An overview of first-order model management for engineering optimization. Optim Eng 2:413–430CrossRef Alexandrov NM, Lewis RM (2002) An overview of first-order model management for engineering optimization. Optim Eng 2:413–430CrossRef
Zurück zum Zitat Alexandrov NM, Dennis JE, Lewis RM, Torczon V (1998) A trust-region framework for managing the use of approximation models in optimization. Struct Optim 15(1):16–23CrossRef Alexandrov NM, Dennis JE, Lewis RM, Torczon V (1998) A trust-region framework for managing the use of approximation models in optimization. Struct Optim 15(1):16–23CrossRef
Zurück zum Zitat Alexandrov NM, Lewis RM, Gumbert CR, Green LL, Newman PA (2001) Approximation and model management in aerodynamic optimization with variable-fidelity models. J Aircr 38:1093–1101CrossRef Alexandrov NM, Lewis RM, Gumbert CR, Green LL, Newman PA (2001) Approximation and model management in aerodynamic optimization with variable-fidelity models. J Aircr 38:1093–1101CrossRef
Zurück zum Zitat Arora J (2004) Introduction to optimum design, 2nd edn. Academic Press, New York Arora J (2004) Introduction to optimum design, 2nd edn. Academic Press, New York
Zurück zum Zitat Boyd JP (2013) A Fourier error analysis for radial basis functions on an infinite uniform grid. Part 2: spectral-plus is special. Appl Math Comput 225:695–707MathSciNetCrossRef Boyd JP (2013) A Fourier error analysis for radial basis functions on an infinite uniform grid. Part 2: spectral-plus is special. Appl Math Comput 225:695–707MathSciNetCrossRef
Zurück zum Zitat Broomhead DS, Lowe D (1988a) Radial basis functions, multi-variable functional interpolation and adaptive networks. Royal Signals and Radar Establishment, Malvern Broomhead DS, Lowe D (1988a) Radial basis functions, multi-variable functional interpolation and adaptive networks. Royal Signals and Radar Establishment, Malvern
Zurück zum Zitat Broomhead DS, Lowe D (1988b) Multivariable functional interpolation and adaptive networks. Complex Syst 2:321–355MathSciNetMATH Broomhead DS, Lowe D (1988b) Multivariable functional interpolation and adaptive networks. Complex Syst 2:321–355MathSciNetMATH
Zurück zum Zitat Carr JC, Fright RW, Beatson RK (1997) Surface interpolation with radial basis function for medical imaging. IEEE Trans Med Imaging 16(1):96–107CrossRef Carr JC, Fright RW, Beatson RK (1997) Surface interpolation with radial basis function for medical imaging. IEEE Trans Med Imaging 16(1):96–107CrossRef
Zurück zum Zitat Chiba K, Obayashi S, Nakahashi K, Morino H (2005) High-fidelity multidisciplinary design optimization of aerostructural wing shape for regional jet. AIAA Pap 5080:2005 Chiba K, Obayashi S, Nakahashi K, Morino H (2005) High-fidelity multidisciplinary design optimization of aerostructural wing shape for regional jet. AIAA Pap 5080:2005
Zurück zum Zitat Choi S, Alonso JJ, Kroo IM, Wintzer M (2008) Multifidelity design optimization of low-boom supersonic jets. J Aircr 45(1):106–118CrossRef Choi S, Alonso JJ, Kroo IM, Wintzer M (2008) Multifidelity design optimization of low-boom supersonic jets. J Aircr 45(1):106–118CrossRef
Zurück zum Zitat Elsayed K, Vucinic D, d’Ippolito R, Lacor C (2012) Comparison between RBF and Kriging surrogates in design optimization of high dimensional problems. In: Proceedings of 3rd international conference on engineering optimization, Rio de Janeiro, Brazil, pp 1–5 Elsayed K, Vucinic D, d’Ippolito R, Lacor C (2012) Comparison between RBF and Kriging surrogates in design optimization of high dimensional problems. In: Proceedings of 3rd international conference on engineering optimization, Rio de Janeiro, Brazil, pp 1–5
Zurück zum Zitat Forrester A, Sobester A, Keane A (2008) Engineering design via surrogate modelling: a practical guide. Wiley, ChichesterCrossRef Forrester A, Sobester A, Keane A (2008) Engineering design via surrogate modelling: a practical guide. Wiley, ChichesterCrossRef
Zurück zum Zitat Gano SE (2005) Simulation-based design using variable fidelity optimization. University of Notre Dame, Indiana Gano SE (2005) Simulation-based design using variable fidelity optimization. University of Notre Dame, Indiana
Zurück zum Zitat Gano Shawn E, Renaud John E, Sanders Brian (2005) Hybrid variable fidelity optimization by using a kriging-based scaling function. AIAA J 43:2422–2430CrossRef Gano Shawn E, Renaud John E, Sanders Brian (2005) Hybrid variable fidelity optimization by using a kriging-based scaling function. AIAA J 43:2422–2430CrossRef
Zurück zum Zitat Gano SE, Renaud JE, Martin JD, Simpson TW (2006a) Update strategies for kriging models used in variable fidelity optimization. Struct Multidiscip Optim 32(4):287–298CrossRef Gano SE, Renaud JE, Martin JD, Simpson TW (2006a) Update strategies for kriging models used in variable fidelity optimization. Struct Multidiscip Optim 32(4):287–298CrossRef
Zurück zum Zitat Gano SE, Renaud JE, Agarwal H, Tovar A (2006b) Reliability-based design using variable-fidelity optimization. Struct Infrastruct Eng 2(3):247CrossRef Gano SE, Renaud JE, Agarwal H, Tovar A (2006b) Reliability-based design using variable-fidelity optimization. Struct Infrastruct Eng 2(3):247CrossRef
Zurück zum Zitat Giunta AA et al. (1995) Variable-complexity multidisciplinary design optimization using parallel computers. Department of Aerospace and Ocean Engineering, Virginia Polytechnic Institute & State University, Blacksburg, pp 489–494 Giunta AA et al. (1995) Variable-complexity multidisciplinary design optimization using parallel computers. Department of Aerospace and Ocean Engineering, Virginia Polytechnic Institute & State University, Blacksburg, pp 489–494
Zurück zum Zitat Gonzalez L, Whitney E, Srinivas K, Periaux J (2006) Optimum multidisciplinary and multi-objective wing design in CFD using evolutionary techniques. In: Deconinck H, Dick E (eds) Computational fluid dynamics. Springer, Berlin, pp 681–686 Gonzalez L, Whitney E, Srinivas K, Periaux J (2006) Optimum multidisciplinary and multi-objective wing design in CFD using evolutionary techniques. In: Deconinck H, Dick E (eds) Computational fluid dynamics. Springer, Berlin, pp 681–686
Zurück zum Zitat Gumbert CR, Hou GJ-W, Newman PA (2005) High-fidelity computational optimization for 3-D flexible wings. Optim Eng 6(1):117–138MathSciNetCrossRefMATH Gumbert CR, Hou GJ-W, Newman PA (2005) High-fidelity computational optimization for 3-D flexible wings. Optim Eng 6(1):117–138MathSciNetCrossRefMATH
Zurück zum Zitat Haftka RT (1991) Combining global and local approximations. AIAA J 29(9):1525CrossRef Haftka RT (1991) Combining global and local approximations. AIAA J 29(9):1525CrossRef
Zurück zum Zitat Hajela P (1986) Geometric programming strategies in large-scale structural synthesis. AIAA J 24(7):1173–1178CrossRefMATH Hajela P (1986) Geometric programming strategies in large-scale structural synthesis. AIAA J 24(7):1173–1178CrossRefMATH
Zurück zum Zitat Heuer N, Tran T (2013) A mixed method for Dirichlet problems with radial basis functions. Comput Math Appl 66(10):2045–2055MathSciNetCrossRef Heuer N, Tran T (2013) A mixed method for Dirichlet problems with radial basis functions. Comput Math Appl 66(10):2045–2055MathSciNetCrossRef
Zurück zum Zitat Huang X, Dudley J, Haftka RT, Grossman B, Mason WH (1996) Structural weight estimation for multidisciplinary optimization of a high-speed civil transport. J Aircr 33(3):608–616CrossRef Huang X, Dudley J, Haftka RT, Grossman B, Mason WH (1996) Structural weight estimation for multidisciplinary optimization of a high-speed civil transport. J Aircr 33(3):608–616CrossRef
Zurück zum Zitat Hutchison MG, Unger ER, Mason WH, Grossman B, Haftkat RT (1994) Variable-complexity aerodynamic optimization of a high-speed civil transport wing. J Aircr 31(1):110–116CrossRef Hutchison MG, Unger ER, Mason WH, Grossman B, Haftkat RT (1994) Variable-complexity aerodynamic optimization of a high-speed civil transport wing. J Aircr 31(1):110–116CrossRef
Zurück zum Zitat Jackson P (2012) Jane’s all the world’s aircraft 2010–2011, IHS Jane’s all the world’s aircraft. Model center user guide and programmers reference, version 10.1. Phoenix Integration, Inc., Blacksburg Jackson P (2012) Jane’s all the world’s aircraft 2010–2011, IHS Jane’s all the world’s aircraft. Model center user guide and programmers reference, version 10.1. Phoenix Integration, Inc., Blacksburg
Zurück zum Zitat Kraft D (1988) A software package for sequential quadratic programming. DLR German Aerospace Center—Institute for Flight Mechanics, KolnMATH Kraft D (1988) A software package for sequential quadratic programming. DLR German Aerospace Center—Institute for Flight Mechanics, KolnMATH
Zurück zum Zitat Lewis R, Nash S (2000) A multigrid approach to the optimization of sustems governed by differential equations. AIAA 4890:2000 Lewis R, Nash S (2000) A multigrid approach to the optimization of sustems governed by differential equations. AIAA 4890:2000
Zurück zum Zitat MacMillin PE, Dudley J, Mason WH, Grossman B, Haftka RT (1994) Trim, control and landing gear effects in variable-complexity HSCT design, AIAA Paper 94–4381, 5th AIAA/USAF/NASA/ISSMO symposium on multidisciplinary analysis and optimization, Panama city beach, Fl., 7–9 September 1994 MacMillin PE, Dudley J, Mason WH, Grossman B, Haftka RT (1994) Trim, control and landing gear effects in variable-complexity HSCT design, AIAA Paper 94–4381, 5th AIAA/USAF/NASA/ISSMO symposium on multidisciplinary analysis and optimization, Panama city beach, Fl., 7–9 September 1994
Zurück zum Zitat Marduel X, Tribes C, Trépanier J-Y (2006) Variable-fidelity optimization: efficiency and robustness. Optim Eng 7(4):479–500MathSciNetCrossRefMATH Marduel X, Tribes C, Trépanier J-Y (2006) Variable-fidelity optimization: efficiency and robustness. Optim Eng 7(4):479–500MathSciNetCrossRefMATH
Zurück zum Zitat Mejia-Rodriguez G, Renaud JE, Tomar V (2008) A variable fidelity model management framework for designing multiphase materials. J Mech Des 130(9):091702–091713CrossRef Mejia-Rodriguez G, Renaud JE, Tomar V (2008) A variable fidelity model management framework for designing multiphase materials. J Mech Des 130(9):091702–091713CrossRef
Zurück zum Zitat Min B-Y, Lee J-W, Byun Y-H (2006) Numerical investigation of the shock interaction effect on the lateral jet controlled missile. Aerosp Sci Technol 10(5):385–393CrossRefMATH Min B-Y, Lee J-W, Byun Y-H (2006) Numerical investigation of the shock interaction effect on the lateral jet controlled missile. Aerosp Sci Technol 10(5):385–393CrossRefMATH
Zurück zum Zitat Montgomery DC (2001) Design and analysis of experiments, 5th edn. Wiley, New York Montgomery DC (2001) Design and analysis of experiments, 5th edn. Wiley, New York
Zurück zum Zitat Nguyen Nhu-Van (2011) An efficient multi-fidelity approach for the multi-disciplinary aerospace system design and optimization. Doctor of Philosophy, Konkuk University, Seoul Nguyen Nhu-Van (2011) An efficient multi-fidelity approach for the multi-disciplinary aerospace system design and optimization. Doctor of Philosophy, Konkuk University, Seoul
Zurück zum Zitat Nguyen N-V, Jeon K-S, Lee J-W, Byun Y-H (2010) “Development of repetitively enhanced neural networks (RENN) for efficient missile design and optimization. In: Proceedings of Computational Science and Optimization (CSO), 2010 third international joint conference on, vol 1, pp 431–435 Nguyen N-V, Jeon K-S, Lee J-W, Byun Y-H (2010) “Development of repetitively enhanced neural networks (RENN) for efficient missile design and optimization. In: Proceedings of Computational Science and Optimization (CSO), 2010 third international joint conference on, vol 1, pp 431–435
Zurück zum Zitat Nguyen Nhu-Van, Choi Seok-Min, Kim Wan-Sub, Kim Sangho, Lee Jae-Woo, Byun Yung-Hwan (2013) Multidisciplinary unmanned combat air vehicle (UCAV) system design implementing multi-fidelity models. JAerosp Sci Technol 26(1):200–210CrossRef Nguyen Nhu-Van, Choi Seok-Min, Kim Wan-Sub, Kim Sangho, Lee Jae-Woo, Byun Yung-Hwan (2013) Multidisciplinary unmanned combat air vehicle (UCAV) system design implementing multi-fidelity models. JAerosp Sci Technol 26(1):200–210CrossRef
Zurück zum Zitat Peigin S, Epstein B (2008) Multiconstrained aerodynamic design of business jet by CFD driven optimization tool. Aerosp Sci Technol 12(2):125–134CrossRefMATH Peigin S, Epstein B (2008) Multiconstrained aerodynamic design of business jet by CFD driven optimization tool. Aerosp Sci Technol 12(2):125–134CrossRefMATH
Zurück zum Zitat Peri D, Pinto A, Campana EF (2006) Multi-objective optimisation of expensive objective functions with variable fidelity models. Large-Scale Nonlinear Optim 83:223–241MathSciNetCrossRef Peri D, Pinto A, Campana EF (2006) Multi-objective optimisation of expensive objective functions with variable fidelity models. Large-Scale Nonlinear Optim 83:223–241MathSciNetCrossRef
Zurück zum Zitat Praveen C, Duvigneau R (2007) Radial basis function and kriging metamodels for aerodynamic optimization, Technical report No. 123456789, INRIA, Sophia Antipolis, France Praveen C, Duvigneau R (2007) Radial basis function and kriging metamodels for aerodynamic optimization, Technical report No. 123456789, INRIA, Sophia Antipolis, France
Zurück zum Zitat Robinson TD, Eldred MS, Willcox KE, Haimes R (2008) Surrogate-based optimization using multifidelity models with variable parameterization and corrected space mapping. AIAA J 46:2814–2822CrossRef Robinson TD, Eldred MS, Willcox KE, Haimes R (2008) Surrogate-based optimization using multifidelity models with variable parameterization and corrected space mapping. AIAA J 46:2814–2822CrossRef
Zurück zum Zitat Rodríguez JF, Renaud JE, Watson LT (1997) Trust region augmented Lagrangian methods for sequential response. J Mech Des 15:58–66 Rodríguez JF, Renaud JE, Watson LT (1997) Trust region augmented Lagrangian methods for sequential response. J Mech Des 15:58–66
Zurück zum Zitat Rodríguez JF, Renaud JE, Wujek BA, Tappeta RV (2000) Trust region model management in multidisciplinary design optimization. J Comput Appl Math 124(1–2):139–154MathSciNetCrossRefMATH Rodríguez JF, Renaud JE, Wujek BA, Tappeta RV (2000) Trust region model management in multidisciplinary design optimization. J Comput Appl Math 124(1–2):139–154MathSciNetCrossRefMATH
Zurück zum Zitat Schmitt V, Charpin F (1979) Pressure distributions on the ONERA-M6-wing at transonic mach numbers. Experimental data base for computer program assessment. Report of the Fluid Dynamics Panel Working Group 04, AGARD AR 138 Schmitt V, Charpin F (1979) Pressure distributions on the ONERA-M6-wing at transonic mach numbers. Experimental data base for computer program assessment. Report of the Fluid Dynamics Panel Working Group 04, AGARD AR 138
Zurück zum Zitat Takemiya T (2008) Aerodynamic design applying automatic differentiation and using robust variable fidelity optimization. Georgia Institute of Technology, Atlanta Takemiya T (2008) Aerodynamic design applying automatic differentiation and using robust variable fidelity optimization. Georgia Institute of Technology, Atlanta
Zurück zum Zitat Thokala P, Martins JRRA (2007) Variable-complexity optimization applied to airfoil design. Eng Optim 39(3):271CrossRef Thokala P, Martins JRRA (2007) Variable-complexity optimization applied to airfoil design. Eng Optim 39(3):271CrossRef
Zurück zum Zitat Woojoo Choi (2011) “Study on Preprocessing for Fluid-Structure Interaction Analysis of AADL3D Code”, Master Thesis, Konkuk Woojoo Choi (2011) “Study on Preprocessing for Fluid-Structure Interaction Analysis of AADL3D Code”, Master Thesis, Konkuk
Zurück zum Zitat Xia L, Zheng-hong G (2006) Application of variable-fidelity models to aerodynamic optimization. Appl Math Mech 27(8):1089–1095CrossRefMATH Xia L, Zheng-hong G (2006) Application of variable-fidelity models to aerodynamic optimization. Appl Math Mech 27(8):1089–1095CrossRefMATH
Zurück zum Zitat Xing J-J, Lue R-M, Guo H-L, Li Y-Q, Fu H-Y, Yang T-M, Zhou Y-P (2014) Radial basis function network-based transformation for nonlinear partial least-squares as optimized by particle swarm optimization: application to QSAR studies. Chemom Intell Lab Syst 130:37–44CrossRef Xing J-J, Lue R-M, Guo H-L, Li Y-Q, Fu H-Y, Yang T-M, Zhou Y-P (2014) Radial basis function network-based transformation for nonlinear partial least-squares as optimized by particle swarm optimization: application to QSAR studies. Chemom Intell Lab Syst 130:37–44CrossRef
Metadaten
Titel
A modified variable complexity modeling for efficient multidisciplinary aircraft conceptual design
verfasst von
Nhu Van Nguyen
Maxim Tyan
Jae-Woo Lee
Publikationsdatum
01.06.2015
Verlag
Springer US
Erschienen in
Optimization and Engineering / Ausgabe 2/2015
Print ISSN: 1389-4420
Elektronische ISSN: 1573-2924
DOI
https://doi.org/10.1007/s11081-014-9273-7

Weitere Artikel der Ausgabe 2/2015

Optimization and Engineering 2/2015 Zur Ausgabe

    Marktübersichten

    Die im Laufe eines Jahres in der „adhäsion“ veröffentlichten Marktübersichten helfen Anwendern verschiedenster Branchen, sich einen gezielten Überblick über Lieferantenangebote zu verschaffen.