Hostname: page-component-8448b6f56d-jr42d Total loading time: 0 Render date: 2024-04-23T10:01:59.741Z Has data issue: false hasContentIssue false

Design of morphing winglets with the inclusion of nonlinear aeroelastic effects

Published online by Cambridge University Press:  27 January 2016

R. De Breuker*
Affiliation:
Aerospace Structures and Computational Mechanics, Delft University of Technology, Delft, The Netherlands

Abstract

A nonlinear aeroelastic model capable of assessing arbitrary morphing manoeuvres and calculating the associated morphing energy requirement is presented in this paper. The aeroelastic model consists of a close coupling between a corotational beam element, accounting for geometric nonlinearities, and a Weissinger method aerodynamic model, containing the Prandtl-Glauert correction for high-subsonic Mach numbers. The morphing deformations are discretised into three distinct morphing modes; fold morphing, twist morphing, and shear morphing, because of which virtually any morphed shape can be achieved, given a proper distribution of the three modes over the wing. The proposed aeroelastic morphing framework is used to design morphing winglets, and it has been shown that morphing winglets can improve the performance of fixed winglets significantly for regional airliners.

Type
Research Article
Copyright
Copyright © Royal Aeronautical Society 2011 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Monner, H., Sachau, D. and Breitbach, E. Design aspects of the elastic trailing edge for an adaptive wing, 1999, Technical Report RTO-MP-36-14, NATO.Google Scholar
2. Miller, S., Vio, G., Cooper, J., Vale, J., da Luz, L. and Gomes, A. ET AL. SMORPH — smart aircraft morphing technologies project, 2010, 51st AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference.Google Scholar
3. Wlezien, R., Horne, R G., McGowan, A. and Padula, S. The aircraft morphing program, 1998, 39th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, Long Beach, CA, USA.Google Scholar
4. Kudva, J. Overview of the DARPA smart wing project, J Intelligent Material Systems and Structures, 2004, 15, pp 261-167.Google Scholar
5. Sanders, B., Crowe, R. and Garcia, E. Defence advanced research projects agency — smart materials and structures demonstration program overview, J Intelligent Material Systems and Structures, 2004, 15, pp 227233.Google Scholar
6. Rodriguez, A. Morphing aircraft technology survey, 2007, 45th AIAA Aerospace Sciences Meeting and Exhibition. Reno, NV, USA.Google Scholar
7. Bowman, J., Reich, G., Sanders, B. and Frank, G. Simulation tool for analyzing complex shape-changing mechanisms in aircraft, 2006 AIAA Modeling and Simulation Technologies Conference and Exhibition, Keystone, CO; USA.Google Scholar
8. Samareh, J., Chwalowski, P., Horta, L., Piatak, D. and McGowan, A. Integrated aerodynamic/structural/dynamic analyses of aircraft with large shape changes, 2007, 48th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, Honolulu, HI, USA.Google Scholar
9. Reich, G., Bowman, J., Sanders, B. and Frank, G. Development of an integrated aeroelastic multibody morphing simulation tool, 2007, 47th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, Newport, RI; USA.Google Scholar
10. McGowan, A.M.R. Overview: Morphing activities in the USA, 2008, Advanced Course on Morphing Aircraft, Materials, Mechanisms and Systems presentation.Google Scholar
11. De Breuker, R., Abdalla, M. and Gürdal, Z. A generic morphing wing analysis and design framework, accepted for J Intelligent Material Systems and Structures, 2011.Google Scholar
12. Weisshaar, T. Morphing aircraft technology — new shapes for aircraft design, 2006, Technical Report, RTO-MP-AVT-141, NATO.Google Scholar
13. Wiggins, L., Stubbs, M., Johnston, C., Robertshaw, H., Reinholtz, F. and Inman, D. A design and analysis of a morphing hyper-elliptic cambered span (hecs) wing, 2004, 45th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, Palm Springs, CA; USA.Google Scholar
14. Ursache, N.M., Melin, T., Isikveren, A.T. and Friswell, M.I. Morphing winglets for aircraft multi-phase improvement, 2007, Seventh AIAA Aviation Technology, Integration and Operations Conference (ATIO).Google Scholar
15. Cesnik, C.E.S and Brown, E.L. Active warping control of a joined-wing airplane configuration, 2003, 44th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference.Google Scholar
16. Majji, M., Rediniotis, O.K. and Junkins, J.L. Design of a morphing wing: modeling and experiments, 2007, AIAA Atmospheric Flight Mechanics Conference and Exhibition.Google Scholar
17. Vos, R., Grdal, Z. and Abdalla, M. Mechanism for warp-controlled twist of a morphing wing, J Aircr, 2010, 47, (2), pp 450457.Google Scholar
18. Maute, K., Reich, G. and Sanders, B. In-plane morphing designs by topology optimization, 2003, 16th International Conference on Adaptive Structures and Technologies.Google Scholar
19. Simmons, F. and Freund, D. Morphing concept for quiet supersonic jet boom mitigation, 2005, 43rd AIAA Aerospace Sciences Meeting and Exhibition.Google Scholar
20. Inoyama, D., Sanders, B.P. and Joo, J.J. Conceptual design and multi-disciplinary optimization of in-plane morphing wing structures, 2006, SPIE Conference on Smart Structures and Materials, pp 6166.Google Scholar
21. Patil, M. and Hodges, D. On the importance of aerodynamic and structural geometrical nonlinearities in aeroelastic behavior of high-aspect-ratio wings, 2000, 41st AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference.Google Scholar
22. Crisfield, M. A consistent co-rotational formulation for non-linear, three-dimensional, beam-elements, Computer Methods in Applied Mechanics and Engineering, 1990; 81, pp 131-50.Google Scholar
23. Wempner, G. Finite elements, finite rotations and small strains of flexible shells, Int J of Solids and Structures, 1969, 5, pp 117-53.Google Scholar
24. Crisfield, M. Non-linear Finite Element Analysis of Solids and Structures, Vol 2, 1991, John Wiley & Sons, UK.Google Scholar
25. Battini, J.M. and Pacoste, C. Co-rotational beam elements with warping effects in instability problems, Computer Methods in Applied Mechanics and Engineering, 2002; 191, pp 1755-89.Google Scholar
26. Rivello, R. Theory and Analysis of Flight Structures, 1969, McGraw-Hill, USA.Google Scholar
27. Weissinger, J. The lift distribution of swept-back wings, 1947, Technical Memorandum 1120; NACA.Google Scholar
28. Jones, R. and Cohen, D. High Speed Wing Theory, 1960, Vol 6 of Princeton Aeronautical Paperback, Princeton University Press, NJ; USA.Google Scholar
29. Anderson, J. Fundamentals of Aerodynamics, Second edition, 1991, New York: McGraw-Hill Internation Editions.Google Scholar
30. Katz, J. and Plotkin, A. Low-Speed Aerodynamics, Second edition, 2001, Aerospace Series; Cambridge University Press.Google Scholar
31. Guermond, J.L. A generalized lifting-line theory for curved and swept wings, J Fluid Mechanics, 1990, 211, pp 497513.Google Scholar
32. Abbott, I., von Doenho, A. and Stivers, L.S.J. Summary of airfoil data, 1945, Technical Report 824, NACA.Google Scholar
33. Crisfield, M. Non-linear Finite Element Analysis of Solids and Structures, Vol 1, 1991, John Wiley & Sons, UK.Google Scholar
34. Streit, T., Himisch, J., Heinrich, R., Nagel, B., Horstmann, K. and Liersch, C. Design of a retrofit winglet for a transport aircraft with assessment of cruise and ultimate structural loads, Notes on Numerical Fluid Mechanics, 2007, 96, pp 6270.Google Scholar
35. Prananta, B., Namer, A., Maseland, J., van Muijden, J. and Spekreijse, S. Winglets on large civil aircraft: impact on wing deformation, 2005, Technical Report NLR-TP-2005-366, National Aerospace Laboratory NLR.Google Scholar
36. Svanberg, K. The method of moving asymptotes — a new method for structural optimization, 1987, 24, pp 359-73.Google Scholar
37. Svanberg, K. A class of globally convergent optimization methods based on conservative convex separable approximations 2002, 12, (2), pp 555-73.Google Scholar
38. Lazos, B. and Visser, K. Aerodynamic comparison of hyper-elliptic cambered span (hecs) wings with conventional configurations, 2006, 24th AIAA Applied Aerodynamics Conference, San Francisco, CA, USA.Google Scholar
39. Murray, G., Gandhi, F. and Bakis, C. Flexible matrix composite skins for one-dimensional wing morphing. J Intelligent Materials Systems, 2010, 21, pp 1771-81.Google Scholar