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| Melnikov方法在输流管混沌运动研究中的应用 | |
| 引用本文： | 邹光胜,金基铎,闻邦椿.Melnikov方法在输流管混沌运动研究中的应用[J].力学与实践,2004,26(2):29-32. |
| 作者姓名： | 邹光胜 金基铎 闻邦椿 |
| 作者单位： | 1. 沈阳航空工业学院航空宇航工程学院,沈阳,110034;东北大学机械工程与自动化学院,沈阳,110004 2. 东北大学机械工程与自动化学院,沈阳,110004 3. 沈阳航空工业学院航空宇航工程学院,沈阳,110034 |
| 基金项目： | 国家自然科学基金项目(10372063)资助. |
| 摘 要： | 对基础简谐运动激励下两端固定输流管道的混沌运动进行了研究，推导出了系统的运动方程，确定了系统存在的平衡点及其稳定性，计算出了未扰系统的同宿轨道，并利用Melnikov方法得到了系统发生混沌运动时参数需满足的临界条件，同时还利用相平面图和：Poincare映射等方法对管道的混沌运动进行了数值模拟，通过比较发现，由Melnikov方法确定的临界参数值要稍小于数值模拟中首次观察到混沌运动时对应的临界值。 |
| 关 键 词： | Melnikov方法 输流管 混沌运动 数值模拟 简谐运动 流体力学 |
| 修稿时间： | 2003年2月5日 |
APPLICATION OF MELNIKOV METHOD IN THE STUDY OF CHAOTIC MOTIONS OF PIPE CONVEYING FLUID |
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| ZOU Guangsheng,JIN Jiduo WEN Bangchun.APPLICATION OF MELNIKOV METHOD IN THE STUDY OF CHAOTIC MOTIONS OF PIPE CONVEYING FLUID[J].Mechanics and Engineering,2004,26(2):29-32. | |
| Authors: | ZOU Guangsheng JIN Jiduo WEN Bangchun |
| Abstract: | The chaotic vibrations of a clamped-clamped pipe conveying fluid, excited by the harmonic motions of its supporting base, were investigated theoretically. The nonlinear equations of motion were derived, and the equilibrium and stabilities of the system were analyzed. The expressions of homoclinic orbits of the unperturbed system were calculated. The system parameters for the occurrence of chaotic motions were obtained by means of Melnikov method. Phase portrait and Poincare map were used to simulate the chaotic motions of the original system. Comparison between the results from theoretical analyses and numerical simulations reveals that the critical value of the parameter determined by Melnikov method is slightly lower than that corresponding to the chaotic motion observed first in numerical simulations. |
| Keywords: | Melnikov method pipe conveying fluid chaotic motion numerical simulation |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |
