摘要
研究两个自由度的机翼在不可压缩流作用下颤振的分支问题。运用罗司-霍维茨判据确定系统的分叉点,应用中心流形理论将四维系统降为二维系统,用直接求周期解方法对分叉点的真假中心及稳定性问题进行了分析,并研究了系统的极限环颤振。结果表明,本文研究的分叉点不是中心,而是稳定或不稳定焦点。在两个分叉点处,系统发生了超临界和亚临界Hopf分叉,产生稳定或不稳定极限环。
The bifurcation of two dimensional airfoil flutter in incompressible flow was investigated.The bifurcation points can be obtained by Rose-Hurwitz criteria.The center manifold theory was used to reduce dimensions of the system.By use the direct method to obtain periodic solution the type and stability of the bifurcation points were analyzed.Moreover,the stability of limit cycle was also investigated.The results show that the two bifurcation points of the system are not center,but stable or unstable foci.At two bifurcation points,the supercritical or subcritical Hopf bifurcation will occur.Accordingly,there will exist stable or unstable limit cycle flutter.
出处
《力学季刊》
CSCD
北大核心
2010年第2期207-212,共6页
Chinese Quarterly of Mechanics
关键词
非线性系统
分叉
颤振
中心流形
稳定性
极限环
non-linear system
bifurcation
flutter
center manifold
stability
limit cycle
