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Limit cycle oscillation control and suppression

Published online by Cambridge University Press:  14 February 2023

G. Dimitriadis  and
J. E. Cooper
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Abstract

The prediction and characterisation of the limit cycle oscillation (LCO) behaviour of non-linear aeroelastic systems has become of great interest recently. However, much of this work has concentrated on determining the existence of LCOs. This paper concentrates on LCO stability. By considering the energy present in different limit cycles, and also using the harmonic balance method, it is shown how the stability of limit cycles can be determined. The analysis is then extended to show that limit cycles can be controlled, or even suppressed, by the use of suitable excitation signals. A basic control scheme is developed to achieve this, and is demonstrated on a simple simulated non-linear aeroelastic system.

Type
Research Article
Information
The Aeronautical Journal , Volume 103 , Issue 1023 , May 1999 , pp. 257 - 263
Copyright
Copyright © Royal Aeronautical Society 1999 

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References

1. Zhao, L.C. and Yang, Z.C. Chaotic motions of an airfoil with non-linear stiffness in incompressible flow, J Sound Vib, 1990, 138, (2), pp 245–254.Google Scholar
2. Kim, S.H. and Lee, I. Aeroelastic analysis of a flexible airfoil with a freeplay non-linearity, J Sound Vib, 1996, 193, (4), pp 823–846.Google Scholar
3. Dowell, E.H. Flutter of a buckled plate as an example of chaotic motion of a deterministic autonomous system, J Sound Vib, 1982, 85, (3), pp 333–344.Google Scholar
4. Tang, D.M. and Dowell, E.H. Experimental and theoretical study for non-linear aeroelastic behaviour of a flexible rotor blade, AIAA J, 1993, 31, (6), pp 1133–1142.Google Scholar
5. Bendiksen, O.O. and Hwang, G.Y. Non-linear flutter calculations for transonic wings. International forum on aeroelasticity and structural dynamics, Rome, Italy, 1997.Google Scholar
6. Bendiksen, O.O. Non-unique solutions in transonic aeroelasticity. International forum on aeroelasticity and structural dynamics, Rome, Italy, 1997.Google Scholar
7. Holden, M., Brazier, R.E.J., and Cal, A.A. Effects of structural non-linearities on a tailplane flutter model, International forum on aeroelasticity and structural dynamics, Manchester, UK, 1995.Google Scholar
8. Yang, Z.C. and Zhao, L.C. Analysis of limit cycle flutter of an airfoil in incompressible flow, J Sound Vib, 1988, 123, (1), pp 1–13.Google Scholar
9. Minorsky, N. Introduction to Non-linear Mechanics, Edwards, J.W., 1947.Google Scholar
10. Marsden, J.E. and McCraken, M. The Hopf Bifurcation and its Applications, Springer-Verlag, 1976.Google Scholar
11. Minorsky, N. Non-linear Oscillations, Van Nostrand Company PLC, 1962.Google Scholar
12. Hancock, G.J., Wright, J.R. and Simpson, A. On the teaching of the principles of wing flexure-torsion flutter, Aeronaut J, 1985, 89, (888), pp 285–305.Google Scholar
13. Georghiades, G.A. and Banerjee, R.J. Flutter prediction for composite wings using parametric studies, AIAA J, 1997, 35, (4), pp 746–748.Google Scholar
14. Gerald, C.F. and Wheatley, P.O. Applied Numerical Analysis, Addison-Wesley, fifth edition, 1990.Google Scholar
15. Price, S.J., Lee, B.H.K. and Alighanbari, H. Postinstability behaviour of a two-dimensional airfoil with a structural non-linearity, J Aircr, 1994, 31, (6), pp 1395–1401.Google Scholar
16. Moon, F.C. Chaotic and Fractal Dynamics — an Introduction for Applied Scientists and Engineers, John Wiley & Sons, 1992.Google Scholar
17. Smith, M.J., Schuster, D.M., Huttsell, L.J. and Buxton, B. Development of an Euler/Navier-Stokes aeroelastic method for 3D vehicle with multiple flexible structures, AIAA paper 96-1513, 1996.Google Scholar
18. Hutsell, L.J. and Luker, J.J. Air Force Research Laboratory’s research in fluids-structures interaction, DGLR aeroelastic conference, Gottingen, Germany, 1998.Google Scholar
19. Shen, S.F. An approximate analysis of non-linear flutter problems, J Aero Sci, January 1959, pp 25–32.Google Scholar
20. Laurenson, R.M., Hauenstein, A.J. Gubser, J.L. and Briley, R.P. Effects of structural non-linearities on limit cycle response of aerodynamic surfaces, AIAA report 86-0899, 1986.Google Scholar
21. Price, S.J., Alighanbari, H. and Lee, B.H.K. The aeroelastic behaviour of a two-dimensional airfoil with bilinear and cubic structural non-linearities. J Flu Struct, 1995, 9, pp l75–193.Google Scholar