Abstract
Nowadays many simulations are computationally expensive, which is disadvantageous if one is interested in the quantification of uncertainties, parameter studies or in finding an optimal or robust design. Therefore often so-called surrogate models are designed, which are a good approximation of the original model but computationally less expensive.
In this paper we first look for an approximation method to design a surrogate model for the simulation of a civil aircraft with active high lift configuration. Such aircrafts have the advantage that only small runways for take-off and landing are necessary. A first result, presented in this paper, is a configuration of the aircraft, where the direct operating costs (DOCs) are minimised. For the optimisation process seven parameters are chosen, for example the Mach number in the cruise flight and the area of the wing. In a second step we define 28 uncertain parameters and repeat the optimisation process including these uncertain parameters to derive a robust configuration.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Bailey, T., Gatrell, A.: Interactive Spatial Data Analysis. Longman Scientific & Technical, Harlow (1995)
Christakos, G.: Random Field Models in Earth Sciences. Academic Press, San Diego (1992)
Elishakoff, I.: Whys and Hows in Uncertainty Modelling-Probability, Fuzziness, and Anti-optimization. Springer, Berlin (1999)
Grigoriu, M.: Stochastic Calculus-Applications in Science and Engineering. Birkhäuser Verlag, Basel (2002)
Hansen, L.U., Heinze, W., Horst, P.: Blended wing body structures in multidisciplinary pre-design. Struct. Multidiscip. Optim. 36, 93–106 (2008)
Heinze, W., Osterheld, C.M., Horst, P.: Multidisziplinäres Flugzeugentwurfsverfahren PrADO: Programmentwurf und Anwendung im Rahmen von Flugzeug-Konzeptstudien. Jahrbuch der DGLR-Jahrestagung 2001, Hamburg, p. 12 (2001)
Hooker, J., Zeune, C., Agelastos, A.: Over wing nacelle installations for improved energy efficiency. In: 31st AIAA Applied Aerodynamics Conference, Conference Paper, San Diego, CA, USA, 24–27 June 2013 (2013)
Jaynes, E.: Probability Theory, the Logic of Science. Cambridge University Press, Cambridge (2003)
Karniadakis, G.E., Sue, C.-H., Xiu, D., Lucor, D., Schwab, C., Tudor, R.A.: Generalized polynomial chaos solution for differential equations with random input. Technical report 2005–1, SAM, ETH Zürich, Zürich (2005)
Kennedy, M., O’Hagan, A.: Bayesian calibration of computer models. J. R. Stat. Soc. Ser. B 63, 425–464 (2001)
Knio, O.M., Maître, O.P.L.: Uncertainty propagation in CFD using polynomial chaos decomposition. Fluid Dyn. Res. 38, 616–640 (2006)
Matthies, H.G.: Uncertainty quantification with stochastic finite elements. In: Stein, E., de Borst, R., Hughes, T.R.J. (eds.) Encyclopedia of Computational Mechanics. Wiley, Chichester (2007)
Matthies, H.G., Rang, J.: Variational formulation for interpolation and approximation methods. Informatik-bericht, TU Braunschweig, Braunschweig (2017, to appear)
Natke, H., Ben-Haim, Y. (eds.): Uncertainty: Models and Measures. Akademie-Verlag, Berlin (1997)
O’Hagan, A., Buck, C., Daneshkhah, A., Eiser, J., Garthwaite, P., Jenkinson, D., Oakley, J., Rakow, T.: Uncertain Judgements: Eliciting Expert Probabilities. Wiley, Chichester (2006)
Papoulis, A.: Probability, Random Variables and Stochastic Processes. McGraw-Hill, Singapore (1991)
Poggio, T., Girosi, F.: A theory of networks for approximation and learning. Technical report, MIT (1989)
Roy, C.J., Oberkampf, W.L.: A complete framework for verification, validation and uncertainty quantification in scientific computing. AIAA-Paper, 2010-124 (2010)
Specht, D.F.: A general regression neural network. IEEE Trans. Neural Netw. 2(6), 568–576 (1991)
Wall, M.: GAlib: a C++ library of genetic algorithm components. Documentation revision b, MIT (1996)
Werner-Westphal, C., Heinze, W., Horst, P.: Multidisciplinary integrated preliminary design applied to unconventional aircraft congurations. J. Aircr. 45(2), 581–590 (2008)
Zell, A.: Simulation Neuronaler Netze. Addison-Wesley, Bonn (1994)
Acknowledgements
Financial support has been provided by the DFG (Deutsche Forschungsgemeinschaft) in the framework of the SFB (Sonderforschungsbereich) 880.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer International Publishing AG
About this paper
Cite this paper
Rang, J., Heinze, W. (2018). An Optimal Configuration of an Aircraft with High Lift Configuration Using Surrogate Models and Optimisation Under Uncertainties. In: Schumacher, A., Vietor, T., Fiebig, S., Bletzinger, KU., Maute, K. (eds) Advances in Structural and Multidisciplinary Optimization. WCSMO 2017. Springer, Cham. https://doi.org/10.1007/978-3-319-67988-4_29
Download citation
DOI: https://doi.org/10.1007/978-3-319-67988-4_29
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-67987-7
Online ISBN: 978-3-319-67988-4
eBook Packages: EngineeringEngineering (R0)