Hostname: page-component-76fb5796d-wq484 Total loading time: 0 Render date: 2024-04-27T18:07:26.036Z Has data issue: false hasContentIssue false
  • English
  • Français

Curve fitting approach for transonic flutter prediction

Published online by Cambridge University Press:  04 July 2016

A. Sedaghat ,
J. E. Cooper ,
J. R. Wright  and
A. Y. T. Leung
A. Sedaghat
Affiliation:
School of Mechanical Engineering, University of Leeds, UK
J. E. Cooper
Affiliation:
Manchester School of Engineering, University of Manchester, UK
J. R. Wright
Affiliation:
Manchester School of Engineering, University of Manchester, UK
A. Y. T. Leung
Affiliation:
Manchester School of Engineering, University of Manchester, UK
Get access Rights & Permissions [Opens in a new window]

Abstract

This paper outlines an initial investigation for determining nonlinear aerodynamics for unsteady transonic flows through the use of curve fitting unsteady computational fluid dynamics (CFD) data. The full aerodynamics including linear and non-linear aerodynamics can be identified as a polynomial function. Through the curve fitting method, the important non-linear terms can be identified and the smaller terms can be neglected. Having modelled the non-linear aerodynamics and included into the aeroelastic model, the characteristics and stability of non-linear aeroelastic system can then be investigated using normal form theory. The methodology is demonstrated upon a simple two-degrees-of-freedom aeroelastic wing model with structural and aerodynamics nonlinearity. A good agreement is obtained for all cases studied between analytical and simulation results.

Type
Research Article
Information
The Aeronautical Journal , Volume 107 , Issue 1075 , September 2003 , pp. 565 - 572
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.)

References

1. Agard CPs566, Advanced aeroservoelastic testing and data analysis, 1995.Google Scholar
2. Price, S.J., Alighanbari, H. and Lee, B.H.K., The aeroelastic response of a two dimensional aerofoil with bilinear and cubic structural non-linearities, J. Fluid and Structures, 1995, 9, pp 175–193.Google Scholar
3. Dimitriadis, G. and Cooper, J.E., Limit cycle oscillation control and suppression, Aero J, 1999, 103, pp 257–263.Google Scholar
4. Yang, Z.C. and Zhao, L.C., Analysis of limit cycle flutter of an airfoil in incompressible flow, J. Sound and Vibration, 1988, 123, (123), pp 1–13.Google Scholar
5. Holden, M., Brazier, R. and Cal, A., Effects of structural non-linearities on a tailplane flutter mode, 1995, Int Forum on Aeroelasticity and Structural Dynamics paper 60.Google Scholar
6. Cooper, J.E. and Dimitriadis, G., Characterisation of non-linear aeroservoelastic behaviour, 1999, RTO Specialists’ Meeting on Structural Aspects of Flexible Aircraft Control Paper 8.Google Scholar
7. Agard CP 507, Transonic unsteady aerodynamics and aeroelasticity, 1992.Google Scholar
8. AGARD Report 822, Numerical unsteady aerodynamics and aeroelastic simulation, 1998.Google Scholar
9. Leung, A.Y.T., Zhang, Q.C. and Chen, Y.S., Normal form analysis of Hopf bifurcation exemplified by Duffing’s equation, J. Shock and Vibration, 1994, 1, pp 233–240.Google Scholar
10. Fung, Y.C. An Introduction to the Theory of Aeroelasticity, 1995, Wiley, New York.Google Scholar
11. Sedaghat, A., Cooper, J.E., Wright, J.R. and Leung, A.Y.T. Prediction of Non-linear Aeroelastic Instabilities, 2000, ICAS.Google Scholar
12. Leung, A.Y.T. and Qichang, Z., Higher-order normal form and period averaging, J. Sound and Vibration, 1998.Google Scholar
13. Sedaghat, A., Cooper, J.E., Wright, J.R. and Leung, A.Y.T., Limit cycle oscillation prediction for non-linear aeroelastic systems with oscillatory aerodynamics, 2000, Proceedings RAeS Aerodynamics Conference, April 2000.Google Scholar
14. Sedaghat, A., Cooper, J.E., Wright, J.R. and Leung, A.Y.T., Limit cycle oscillation prediction for aeroelastic systems with continuous non-linearities, 2000, AIAA-2000-1397, 41st SDM Conference, April 2000.Google Scholar
15. Badcock, K.J., Sim, G. and Richards, B.E., Aeroelastic studies using transonic flow CFD modelling, 1995, Int Forum on Aeroelasticity and Structural Dynamics Paper 18.Google Scholar
16. Sedaghat, A., Vio, G.A., Cooper, J.E. and Wright, J.R. Modelling of non-linear aerodynamics during limit cycle oscillations, 2000, ISMA25, Leuven.Google Scholar
17. Liu, L., Wong, Y.S. and Lee, B.H.K., Application of the center manifold theory in non linear aeroelasticity, 1995, Int Forum on Aeroelasticity and Structural Dynamics, pp 533–542.Google Scholar
18. Schlichting, H., Truckenbrodt, E. and Ramm, H.J. Aerodynamics of the Airplane, 1979, McGraw-Hill, pp 10–11.Google Scholar