Hostname: page-component-7b7567c8c-2n9c9 Total loading time: 0 Render date: 2026-11-15T09:53:47.094Z Has data issue: false hasContentIssue false
  • English
  • Français

Non-linear analysis of stall flutter based on the ONERA aerodynamic model

Part of:75 year anniversary of Aeronautical Engineering at Glasgow University

Published online by Cambridge University Press:  04 July 2016

J. Beedy,
G. Barakos,
K.J. Badcock and
B.E. Richards
J. Beedy
Affiliation:
CFD Laboratory, Department of Aerospace Engineering, University of Glasgow, UK
G. Barakos
Affiliation:
CFD Laboratory, Department of Aerospace Engineering, University of Glasgow, UK
K.J. Badcock
Affiliation:
CFD Laboratory, Department of Aerospace Engineering, University of Glasgow, UK
B.E. Richards
Affiliation:
CFD Laboratory, Department of Aerospace Engineering, University of Glasgow, UK
Get accessRights & Permissions [Opens in a new window]

Abstract

This paper presents a simple and efficient way of calculating stall flutter using the ONERA aerodynamic model. At first, the model is presented along with a solution technique based on the harmonic balance method. The parameters of the model are estimated using data either from experiments or CFD calculations and optimised using the Levenberg-Marquardt algorithm. The aerodynamic model is then coupled with a structural one using the Rayleigh-Ritz formulation and a solution technique is devised based on the Newton- Raphson method. Finally the model is used to ‘fit’ aerodynamic loads of oscillating aerofoils generated using CFD. The aeroelastic analysis of a helicopter blade is finally undertaken using material properties found in the literature. The model appears to be robust and efficient and able to fit the unsteady aerodynamics of various cases. The proposed aeroelastic analysis was also found to be efficient and capable of providing adequate results for preliminary analysis of stall flutter.

Information

Type
Research Article
Information
The Aeronautical Journal , Volume 107 , Issue 1074: University of Glasgow 50th year anniversary special , August 2003, pp. 495 - 510
Copyright
Copyright © Royal Aeronautical Society 2003 

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.)

Article purchase

Temporarily unavailable

References

1. Fung, Y.C. An Introduction to the Theory of Aeroelasticity, 1993, Dover Publications, New York.Google Scholar
2. Abdel-Rahim, A., Sisto, F. and Thangam, S. Computational study of stall flutter in linear cascades, ASME J Turbomachinery, 1993, 115, pp 157–166.Google Scholar
3. Tran, C.T. and Petot, D. Semi-empirical model for the dynamic stall of aerofoils in view of application to the calculation of responses of a helicopter in forward flight, Vertica, 1981, 5, (1), pp 35–53.Google Scholar
4. Dat, D. and Tran, C.T. Investigation of the stall flutter of an aerofoil with a semi-empirical model of 2-D flow, Vertica, 1983, 7, (2), pp 73– 86.Google Scholar
5. Marshall, J.G. and Imregun, M. A review of aeroelasticity methods with emphasis on turbomachinery applications, J Fluids and Structures, 1996, 10, pp 237–267.Google Scholar
6. Peters, D.A. Toward a unified lift model for use in rotor blade stability analyses, J American Helicopter Soc, 1985, 30, (3), pp 32–42.Google Scholar
7. Petot, D. and Dat, R., Unsteady aerodynamic loads on an oscillating aerofoil with unsteady stall, 1987, proceedings of second workshop on Dynamics and Aeroelasticity Stability Modelling of Rotorcraft Systems, Florida Atlantic Univ, Boca Raton, FL, November 1987.Google Scholar
8. Dunn, P. and Dugundji, J. Nonlinear stall flutter and divergence analysis of cantilevered graphite-eEpoxy wings, AIAA J, 1992, 30, (1), pp 153–162.Google Scholar
9. Chopra, I. and Dugundji, J. Non-linear dynamic response of a wind turbine blade, J Sound and Vibration, 1979, 63, (2), pp 265–286.Google Scholar
10. Tang, D. and Dowell, E. Experimental and theoretical study for nonlinear aeroelastic behaviour of flexible rotor blades, April 1992, AIAA Paper 92-2253.Google Scholar
11 Hodges, D. and Dowell, E. Non-linear equations of motion for the elastic bending and torsion of twisted non-uniform rotor blades, December 1974, NASA TN D-7818.Google Scholar
12. Kim, T. and Dugundji, J. Non-linear large amplitude aeroelastic behaviour of composite rotor blades, AIAA J, 1993, 31, (8), pp 1489–1497.Google Scholar
13. Tang, D.M. and Dowell, E.U. Comments on the ONERA stall aerodynamic model and its impact on aeroelastic stability, J Fluids and Structures, 1996, 10. pp 353–366.Google Scholar
14. Beddoes, T.S. A Synthesis of unsteady aerodynamic effects including stall hysteresis, Vertica, 1976, 1, pp 113–123.Google Scholar
15. Shaw, S.T. and Qin, N. Calculation of compressible indicial response, Aeronaut J, 2000, 104, (1042), pp 665–673.Google Scholar
16. Vepa, R. Non-linear aerodynamic modelling for modal analysis of aircraft dynamics, 2002, CEAS Aerospace Aerodynamics Research Conference 2002, Royal Aeronautical Society, pp 94.1-94.14.Google Scholar
17. Jang, H.M., Ekaterinaris, J.A., Platzer, M.F. and Cebeci, T. Essential ingredients for the computation of steady and unsteady boundary layers, ASME J Turbomachinery, 1991, 113, pp 608–616.Google Scholar
18. Cebeci, T., Platzer, M.F., Jang, H.M. and Chen, H.H. An inviscidviscous interaction approach to the calculation of dynamic stall initiation on aerofoils, ASME J Turbomachinery, 1993, 115, pp 714–723.Google Scholar
19. Goura, L. Badcock, K.J., Woodgate, M. and Richards, B.E. Implicit method for the time marching analysis of flutter, Aeronaut J, April 2001, 105, (1046), pp 215–221.Google Scholar
20. Clarkson, J.D., Ekaterinaris, J.A. and Platzer, M.F. Computational Investigation of Aerofoil Stall Flutter, Unsteady Aerodynamics, Aeroacoustics and Aeroelasticity of Turbomachines and Propellers, 1993, Atassi, H.M. (Ed) Springer-Verlag, New York, pp. 415–432.Google Scholar
21. Mccroskey, W.J. The phenomenon of dynamic stall, March 1981, NASA TM-81264.Google Scholar
22. Carta, F.O. and Lorber, P.F. Experimental study of the aerodynamics of incipient tortional stall flutter, J Propulsion, 1987, 3, (2), pp 164– 170.Google Scholar
23. Ekaterinaris, J.A. and Platzer, M.F. Numerical investigation of stall flutter, J Turbomachinery, 1996, 118, pp 197–203.Google Scholar
24. Tran, C.T. and Petot, D. Semi-empirical model for the dynamic stall of aerofoils in view of application to the calculation of responses of a helicopter in forward flight, Vertica, 1981, 5, (1), pp 35–53.Google Scholar
25. Mccroskey, W.J., Mcalister, K.W, Carr, L.W. and Pucci, S.L. An experimental study of dynamic stall on advanced aerofoil sections, Vol 1: Summary of the experiment, 1982,NASA-TM-84245-VOL-l.Google Scholar
26. Carr, L.W. Progress in analysis and prediction of dynamic stall, J Aircr, 1988, 25,(1), pp. 6–17.Google Scholar
27. Visbal, M.R. Effect of compressibility on dynamic stall, 1988, AIAA Paper 88-0132.Google Scholar
28. Piziali, R.A. An Experimental investigation of 2D and 3D oscillating wing aerodynamics for a range of angle-of-attack including stall, NASA-TM-4632.Google Scholar
29. Ekaterinaris, J.A. and Menter, F.R. Computation of separated and unsteady flows with one and two equation turbulence models, 1994, AIAA Paper 94-0190, January 1994.Google Scholar
30. Ekaterinaris, J.A., Chandrasekhara, M.S. and Platzer, M.F. Analysis of low Reynolds number aerofoils, January 1994, AIAA Paper 94-0534.Google Scholar
31. Barakos, G. and Drikakis, D. Separated turbulent flows around manoeuvring lifting surfaces, Phil Trans R Soc London. A: Mathematical Physical and Engineering Sciences, 2000, 358, (15), pp 3279–3292.Google Scholar
32. Meirovitch, L. Elements of Vibration Analysis, 1986, McGraw Hill International Editions, Second edition, New York.Google Scholar
33. McAllister, K.W., Pucci, S.L., McCroskey, W.J. and Carr, L.W. An experimental study of dynamic stall on advanced aerofoil sections, Vol 2: Pressure and Force Data, September 1982, NASA TM-84245.Google Scholar
34. AGARD Compendium of unsteady aerodynamic measurements, 1987, AGARD Advisory Report No 702, AGARD.Google Scholar
35. Press, W.H., Teukolsky, S.A., Vetterling, W.T. and Flannery, B.P. Numerical Recipes in FORTRAN — the Art of Scientific Computing, Second edition, 1992, Cambridge University Press.Google Scholar
36. Marquardt, D.W. J Soc for Industrial and Applied Mathematics, 1963, 11, pp 431–441.Google Scholar