Journal
NONLINEAR DYNAMICS
Volume 37, Issue 1, Pages 31-49Publisher
KLUWER ACADEMIC PUBL
DOI: 10.1023/B:NODY.0000040033.85421.4d
Keywords
airfoil motions; cubic restoring forces; high-order harmonic balance method; perturbation; secondary bifurcations
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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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