Supercritical as well as subcritical Hopf bifurcation in nonlinear flutter systems |
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Authors: | Chen Yan-mao Liu Ji-ke |
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Institution: | Department of Mechanics,Sun Yat-sen University,Guangzhou 510275,P.R.China |
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Abstract: | The Hopf bifurcations of an airfoil flutter system with a cubic nonlinearity are investigated,with the flow speed as the bifurcation parameter.The center manifold theory and complex normal form method are used to obtain the bifurcation equation.Interestingly,for a certain linear pitching stiffness the Hopf bifurcation is both supercritical and subcritical.It is found,mathematically,this is caused by the fact that one coefficient in the bifurcation equation does not contain the first power of the bifurcation parameter.The solutions of the bifurcation equation are validated by the equivalent linearization method and incremental harmonic balance method. |
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Keywords: | nonlinear flutter Hopf bifurcation supercritical subcritical limit cycle oscillation |
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