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Effect of wing-box structure on the optimum wing outer shape

Published online by Cambridge University Press:  27 January 2016

A. Elham  and
M. J. L. van tooren
A. Elham*
Affiliation:
Delft University of Technology, Delft, The Netherlands
M. J. L. van tooren
Affiliation:
University of South Carolina, Columbia, USA
*
[email protected]
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Abstract

A new method for wing shape optimisation is presented, in which the wing shape is optimised not only for the best aerodynamic properties but also for minimum structural weight. An advanced structural sizing method for wing structural weight estimation is developed. The method is based on elementary, physics based analyses of simplified structure to determine the amount of required material to resist the applied loads. The sizing loads are determined based on the airworthiness regulations using advanced aerodynamic analysis tools. In this new weight estimation method, the effect of wing outer (aerodynamic) shape on the wing-box structural weight is taken into account. A mathematical equation is derived, which relates the wing-box structural weight to the wing outer shape. The weight estimation method is validated for several existing passenger aircraft. A series of optimisations is performed to optimise the wing shape for a general objective function, which includes both aerodynamic and structural properties of the wing. The aircraft fuel weight is used as the objective function. Different structures are tested both metal and composite ones. The latter includes different composite layups. In order to find the effect of the internal structure on the optimum wing outer shape, the design lift coefficient is assumed to be constant for all the test cases. The results of the optimisations showed that the optimum wing shape is depending on the structural concept (metal alloys versus different composite layups) for different internal structures.

Type
Research Article
Information
The Aeronautical Journal , Volume 118 , Issue 1199 , January 2014 , pp. 1 - 30
Copyright
Copyright © Royal Aeronautical Society 2014 

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References

1. Anderson, J.D. Fundamentals of Aerodynamics, Fifth edition, 2011, McGraw-Hill, New York, USA.Google Scholar
2. Ardema, M.D., Chambers, M.C., Patron, A.P., Hahn, A.S., Miura, H. and Moore, M.D. Analytical fuselage and wing weight estimation of transport aircraft, 1996, NASA Technical Memorandum 110392.Google Scholar
3. Bindolino, G., Ghiringhelli, G. Ricci, S. and Terraneo, M. Multilevel structural optimization for preliminary wing-box weight estimation, J Aircr, 2010, 47, (2), pp 475–489.Google Scholar
4. Buckley, H.P., Zhou, B.Y. and Zingg, D.W. Airfoil optimization using practical aerodynamic design requirements, J Aircr, 2010, 47, (5), pp 1707–1719.Google Scholar
5. Burt, M.E. Weight prediction for wings of box construction, 1955, Report 186, RAE.Google Scholar
6. Droegkamp, M. Finite element model weight estimation, 1992, SAWE Paper 2089.Google Scholar
7. Howe, D. Aircraft Conceptual Design Synthesis, 2000, Professional Engineering Pub, London, UK.Google Scholar
8. Howe, D. Aircraft loading and structural layout, 2004, AIAA education series, American Institute of Aeronautics and Astronautics, Reston, VA, USA.Google Scholar
9. Hurlimann, F., Kelm, R., Dugas, M., Oltmann, K. and Kress, G. Mass estimation of transport aircraft wingbox structures with a CAD/CAE-based multidisciplinary process, Aerospace Sci and Tech, 2011, 15, (4), pp 323–333.Google Scholar
10. Kassapoglou, C. Design and analysis of composite structures: with applications to aerospace structures,, First edition, 2010, AIAA education series, American Institute of Aeronautics and Astronautics, Reston, VA, USA.Google Scholar
11. Kelm, R., Lapple, M. and Grabietz, M. Wing primary weight estimation of transport aircrafts in the pre-development phase, 1995, SAWE Paper 2283.Google Scholar
12. Laban, M., Arendsen, P., Rouwhorst, W.F.J.A. and Vankan, W.J. A Computational design engine for multidisciplinary optimisation with application to a blended wing body confguration, 2002, AIAA paper 91-5058, Ninth AIAA/ISSMO Symposium on Multidisciplinary Analysis and Optimisation, Atlanta, USA Google Scholar
13. Leung, T.M. and Zingg, D.W. Aerodynamic shape optimization of wings using a parallel Newton-Krylov approach, AIAA J, 2012, 50, (3), pp 540–550.Google Scholar
14. Macci, S.H. Semi-analytical method for predicting wing structural mass, 1995, SAWE Paper 2282.Google Scholar
15. Niu, M.C.Y. Airframe Stress Analysis and Sizing, 1997, Conmilit Press, Hong Kong.Google Scholar
16. Raymer, D.P. Aircraft design: a conceptual approach of AIAA education series, Fifth edition, 2012, American Institute of Aeronautics and Astronautics, Reston, VA, USA.Google Scholar
17. Sensmeier, M.D., Stewart, B.T. and Samareh, J.A. Rapid generation and assessment of aircraft structural topologies for multidisciplinary optimization and weight estimation, 2006, AAAI Paper 2006-1981.Google Scholar
18. Shanley, F.R. Weight-strength analysis of aircraft structures, 1950, Dover Publication, New York, USA.Google Scholar
19. Toal, D.J.J. and Keane, A.J. Efficient multipoint aerodynamic design optimization via cokriging, J Aircr, 2011, 48, (5), pp 1685–1695.Google Scholar
20. Torenbeek, E. Development and application of a comprehensive, design-sensitive weight prediction method for wing structures of transport category aircraft, Report, LR-693, Delft University of Technology, Delft (Netherlands), 1992.Google Scholar
21. Torenbeek, E. Synthesis of Subsonic Airplane Design, 1982, Delft University Press.Google Scholar
22. Zhang, Z. and Lum, K.Y. Airfoil optimization design of drag minimization with lift constraint using adjoint equation method, 2006, AAAI Paper 2006-55.Google Scholar
23. MIL-HDBK-5H, Military Handbook, Metalic Materials and Elements for Aerospace Vehicle Structures, December 1998.Google Scholar
24. Douglas Aircraft Company, McDonnell Douglas Corporation, The ten-percent rule for preliminary sizing of fibrous composite structures, 1992, SAWE Paper 2054.Google Scholar
25. Drela, M. and Youngren, H. AVL (Athena Vortex Lattice) 3.26, 2006, Massachusetts Institute of Technology.Google Scholar
26. Elham, A., La Rocca, G. and Vos, R. Refined preliminary weight estimation tool for airplane wing and tail, 2011, SAE Technical paper 2011-01-2765.Google Scholar
27. Kulfan, B.M. Universal parametric geometry representation method, J Aircr, 2008, 45, (1), pp 142–158.Google Scholar
28. Megson, T.H.G. Aircraft structures for engineering students, Elsevier aerospace engineering series, Fourth edition, 2007, Butterworth-Heinemann, Oxford, Burlington, MA, USA Google Scholar
29. Niu, M.C.Y. Composite Airframe Structures: Practical Design Information And Data, 1992, Conmilit Press, Hong Kong.Google Scholar
30. Obert, E. Aerodynamic design of transport aircraft, 2009, Ios Press, Amsterdam, The Netherlands.Google Scholar
31. Roskam, J. Airplane design part I, 1986, DARcorporation, Lawrence, KS, USA.Google Scholar
32. Roskam, J. Airplane design part V, DARcorporation, Lawrence, KS, USA.Google Scholar
33 Soutis, C. Fibre reinforced composites in aircraft construction, Prog in Aerospace Sci, 2005, 41, (2), pp 143–151.Google Scholar
34. Tenney, D.R., Davis, J.G., Pipes, R.B. and Johnston, N. NASA composite materials development: lessons learned and future challenges, 2009, NATO RTO AVT-164 Workshop on Support of Composite Systems.Google Scholar
35. Terpstra, A. Wing Weight Prediction in the Preliminary Design Phase, 2002, MSc thesis, Delft University of Technology.Google Scholar
36. Tetlow, R. Design charts for carbon fiber composites, 1970, Cranfield Memo 9.Google Scholar
37. Vasiliev, V.V. and Razin, A.F. Anisogrid composite lattice structures for spacecraft and aircraft applications, Composite Structures, 2006, 76, (1-2), pp 182–189.Google Scholar
38. van der Wees, A.J., van Muijden, J. and van der Vooren, J. A Fast and robust viscous-inviscid interaction solver for transonic flow about wing/body configurations on the basis of full potential theory, 1996, AIAA-93-3026, AIAA 24th Fluid Dynamics Conference.Google Scholar
39. Matlab optimization toolbox — R2011a, 2011, Mathworks.Google Scholar
40. Elham, A. and van Tooren, M. Weight indexing for airfoil multi-objective optimization, J Aircr, July/Aug 2013, 50, (4) pp 1046–1049.Google Scholar