Supercritical as well as subcritical Hopf bifurcation in nonlinear flutter systems

被引：0
作者：
Yan-mao Chen
Ji-ke Liu
机构：
[1] Sun Yat-sen University,Department of Mechanics
来源：
Applied Mathematics and Mechanics | 2008年 / 29卷
关键词：
nonlinear flutter; Hopf bifurcation; supercritical; subcritical; limit cycle oscillation; O322; 37L10; 70K50;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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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页码：199 / 206
页数：7
相关论文
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