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The Secondary Bifurcation of an Aeroelastic Airfoil Motion: Effect of High Harmonics

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Abstract

The nonlinear dynamical response of a two-degree-of-freedom aeroelastic airfoil motion with cubic restoring forces is investigated. A secondary bifurcation after the primary Hopf (flutter) bifurcation is detected for a cubic hard spring in the pitch degree-of-freedom. Furthermore, there is a hysteresis in the secondary bifurcation: starting from different initial conditions the motion may jump from one limit cycle to another at different fluid flow velocities. A high-order harmonic balance method is employed to investigate the possible bifurcation branches. Furthermore, a numerical time simulation procedure is used to confirm the stable and unstable bifurcation branches.

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Authors and Affiliations

  1. Department of Mechanical Engineering and Materials Science, Duke University, Durham, NC, 27708, U.S.A

    Liping Liu & Earl H. Dowell

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  1. Liping Liu
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  2. Earl H. Dowell
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Liu, L., Dowell, E.H. The Secondary Bifurcation of an Aeroelastic Airfoil Motion: Effect of High Harmonics. Nonlinear Dynamics 37, 31–49 (2004). https://doi.org/10.1023/B:NODY.0000040033.85421.4d

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  • DOI: https://doi.org/10.1023/B:NODY.0000040033.85421.4d

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