Bifurcation and chaos analysis for aeroelastic airfoil with freeplay structural nonlinearity in pitch

doi:10.1088/1674-1056/19/3/030518

Abstract The dynamics character of a two degree-of-freedom aeroelastic airfoil with combined freeplay and cubic stiffness nonlinearities in pitch submitted to supersonic and hypersonic flow has been gaining significant attention. The Poincaré mapping method and Floquet theory are adopted to analyse the limit cycle oscillation flutter and chaotic motion of this system. The result shows that the limit cycle oscillation flutter can be accurately predicted by the Floquet multiplier. The phase trajectories of both the pitch and plunge motion are obtained and the results show that the plunge motion is much more complex than the pitch motion. It is also proved that initial conditions have important influences on the dynamics character of the airfoil system. In a certain range of airspeed and with the same system parameters, the stable limit cycle oscillation, chaotic and multi-periodic motions can be detected under different initial conditions. The figure of the Poincaré section also approves the previous conclusion.

Keywords: airfoil flutter bifurcation and chaos freeplay nonlinearity Poincaré map

Received: 13 April 2009
Revised: 24 September 2009
Accepted manuscript online:

PACS:	47.52.+j	(Chaos in fluid dynamics)
	47.85.Gj	(Aerodynamics)
	47.40.Ki	(Supersonic and hypersonic flows)
	46.40.Jj	(Aeroelasticity and hydroelasticity)

Fund: Project supported by the National Natural Science Foundation of China (Grant No.~10872141), the Research Fund for the Doctoral Program of Higher Education (Grant No.~20060056005) and the National Basic Research Program of China (Grant No.~007CB714000).

Cite this article:

Zhao De-Min(赵德敏) and Zhang Qi-Chang(张琪昌) Bifurcation and chaos analysis for aeroelastic airfoil with freeplay structural nonlinearity in pitch 2010 Chin. Phys. B 19 030518

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Bifurcation and chaos analysis for aeroelastic airfoil with freeplay structural nonlinearity in pitch

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