| 不可压缩流中二元翼运动的余维二分叉 |
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| 引用本文： | 刘菲,杨翊仁.不可压缩流中二元翼运动的余维二分叉[J].振动与冲击,2005,24(4):18-19,23. |
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| 作者姓名： | 刘菲 杨翊仁 |
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| 作者单位： | 西南交通大学应用力学与工程系,成都,610031 |
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| 基金项目： | 国家自然科学基金资助(编号:10272092)
西南交通大学基础科学研究基金资助(2003809)项目 |
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| 摘 要： | 考虑二元机翼在不可压缩流作用下运动的余维二分叉问题,弹簧的非线性刚度考虑为立方型。化方程为四维一阶微分方程,解析求出了系统发生叉式分叉与HOPF分叉的临界流速的表达式和发生余维二分叉的临界流速和一次刚度。在两个参数平面上研究了系统在余维二分叉点附近的不同区域内平衡点和极限环的稳定性及其个数。最后用数值积分方法给出相应的结果。
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| 关 键 词： | 非线性系统 稳定性 机翼颤振 余维二分叉 |
| 收稿时间： | 2004-01-08 |
| 修稿时间： | 2004-01-082004-04-01 |
CODIMENSION-TWO BIFURCATION OF MOTIONS OF AN AIRFOIL IN INCOMPRESSIBLE FLOW |
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| Liu Fei,Yang Yiren.CODIMENSION-TWO BIFURCATION OF MOTIONS OF AN AIRFOIL IN INCOMPRESSIBLE FLOW[J].Journal of Vibration and Shock,2005,24(4):18-19,23. |
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| Authors: | Liu Fei Yang Yiren |
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| Abstract: | Codimension-two bifurcations of an airfoil with non-linear pitching stiffness in incompressible flow are investgated. The nonliearity of the spring is regarded as cubic pitching stiffness. The motion equations of the airfoil are written as the four dimensional one order differential equations, and the analytic solutions of the critical speed and linear stiffness for codimension-two bifurcation are obtained. The stabilities of the equilibrium points and limit cycles in different regions of two parameter plane are studied. Some numerical interation results are given. |
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| Keywords: | non-linear systems stability flutter of an airfoil codimension-two bifurcation |
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