| 输液管道流固耦合非线性动力稳定分析 |
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| 引用本文： | 张立翔,黄文虎.输液管道流固耦合非线性动力稳定分析[J].应用数学和力学,2002,23(9):951-960. |
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| 作者姓名： | 张立翔 黄文虎 |
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| 作者单位： | 1.昆明理工大学, 工程力学系, 昆明, 650051; |
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| 基金项目： | 国家自然科学基金资助项目 (5 0 0 790 0 7)，水利部重点水利科技资助项目 (SZ9830 )，云南省
自然科学基金资助项目 (97E0 0 3G) |
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| 摘 要： | 将弱约束输流管道非定常流液固耦合运动按波-流-振动系统建模成由4个非线性微分方程组成的分析模型,按模态进行分解研究系统在多种耦合状态下具有的运动稳定特性.以悬臂梁管道为例分析了耦合系统奇点的属性,得到了前四阶模态运动的相图.结果说明,多种耦合条件下输流管道的稳定性变得更为复杂,各阶模态运动具有不同的稳定特性.
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| 关 键 词： | 管道流 流固耦合 非线性振动 分岔 |
| 文章编号： | 1000-0887(2002)09-0951-10 |
| 收稿时间： | 2000-11-22 |
| 修稿时间： | 2000年11月22 |
Analysis of Nonlinear Dynamic Stability of Liquid-Conveying Pipes |
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| ZHANG Li_xiang ,HUANG Wen_hu.Analysis of Nonlinear Dynamic Stability of Liquid-Conveying Pipes[J].Applied Mathematics and Mechanics,2002,23(9):951-960. |
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| Authors: | ZHANG Li_xiang HUANG Wen_hu |
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| Institution: | 1.Department of Engineering Mechanics, Kunming University of Science and Technology, Kunming 650051, P. R. China;2.School of Aeronautics, Harbin Institute of Technology, Harbin 150001, P. R. China |
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| Abstract: | Nonlinearly dynamic stability of flexible liquid_conveying pipe in fluid structure interaction was analyzed by using modal disassembling technique. The effect of Poisson, Junction and Friction couplings in the wave_flowing_vibration system on the pipe dynamic stability were included in the analytical model constituted by 4 nonlinear differential equations. An analyzing example of cantilevered pipe was done to illustrate the dynamic stability characteristics of the pipe in the full coupling mechanisms, and the phase curves related to the first four modal motions were drawn. The results show that the dynamic stable characteristics of the pipe are very complicated in the complete coupling mechanisms, and the kinds of the singularity points corresponding to the various modal motions are different. |
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| Keywords: | piping flow fluid structure interaction nonlinear vibration bifurcation |
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