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Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain


Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

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Aeroelastic Stability Analysis of High Aspect Ratio Aircraft Wings

Journal of Applied Nonlinear Dynamics 3(4) (2014) 413--422 | DOI:10.5890/JAND.2014.12.012

J.R. Banerjee; X. Liu; H.I. Kassem

School of Engineering and Mathematical Sciences, City University London, London EC1V 0HB, UK

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Free vibration and flutter analyses of two types of high aspect ratio aircraft wings are presented. The wing is idealised as an assembly of bending-torsion coupled beams using the dynamic stiffness method leading to a nonlinear eigenvalue problem. This problem is solved using the Wattrick-Williams algorithm yielding natural frequencies and mode shapes. The flutter analysis is carried out using the normal mode method in conjunction with generalised coordinates and two - dimensional unsteady aero dynamic theory of Theodorsen. This is essentially a complex eigenvalue problem in terms of both air-speed and frequency. The flutter determinant is solved by an iterative procedure covering a wide range of air-speeds and frequencies. The computed natural frequencies, mode shapes, flutter speeds and flutter frequencies are compared and contrasted for the two type of aircraft wings and some conclusions are drawn.


The content of this paper was presented at the 12th Conference on Dynamical Systems - Theory and Applications, Lodz, Poland, 2-5 December 2013. The authors wish to thank the organizers of this conference.


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