| 外部激励Stuart-Landau模型的数值研究 |
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| 引用本文： | 孙亮. 外部激励Stuart-Landau模型的数值研究[J]. 应用力学学报, 2002, 19(2): 61-64 |
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| 作者姓名： | 孙亮 |
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| 作者单位： | 中国科学技术大学,合肥,230027 |
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| 摘 要： | 将非线性常微分方程组周期解的求解看作一个边值问题 ,运用Newton迭代构造求解这组方程的数值方法。利用上述方法求得了激励Stuart Landau方程的周期解 ,研究了圆柱振动对圆柱后Karman涡街的抑制现象 ,和振动的频率锁定现象 ,证明了激励Stuart Landau方程描写钝体尾迹动力系统的有效性
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| 关 键 词： | Stuart-Landau方程 周期解 数值研究 旋涡脱落 频率锁定 |
| 文章编号： | 1000-4939(2002)02-0061-04 |
| 修稿时间： | 2000-11-05 |
Numerical Studies on Excited Stuart-Landau Model |
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| Sun Liang. Numerical Studies on Excited Stuart-Landau Model[J]. Chinese Journal of Applied Mechanics, 2002, 19(2): 61-64 |
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| Authors: | Sun Liang |
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| Abstract: | Usefulness of simple amplitude equations for the modeling of vortex shedding phenomena in bluff body (cylinder) wakes at low Reynolds number is shown in the paper. Newton iteration was used to solve the periodic oscillation problems, especially the Stuart Landau model. Numerical results showed the phenomenon of frequency lock in in a certain zone at Reynolds number Re = 58. It is found that little excited oscillating amplitude (Ae = 0.05) may damp periodic amplitude, which satisfied Schumm's experiments. These studies illuminate the suppression of Karman vortex shedding behind an excited circular cylinder. |
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| Keywords: | Stuart Landau model numerical study periodic solution vortex shedding frequency lock in. |
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