| 迷宫密封不平衡转子动力系统的稳定性与分岔 |
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| 引用本文： | 李松涛,许庆余,万方义,张小龙.迷宫密封不平衡转子动力系统的稳定性与分岔[J].应用数学和力学,2003,24(11):1141-1150. |
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| 作者姓名： | 李松涛 许庆余 万方义 张小龙 |
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| 作者单位： | 1.西安交通大学, 建力学院, 西安, 710049; |
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| 基金项目： | 国家自然科学基金资助项目(50275113) |
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| 摘 要： | 研究迷宫密封对不平衡转子系统动力稳定性的影响.存在不平衡量的转子在旋转过程中受到周期激励,低转速时,转子作与激励同频率的周期运动,随着转速的提高,达到一定阈值时周期运动开始失稳.对迷宫密封的气动力采用Muszynska非线性力学模型,用打靶法求解转子运动周期解,并根据Floquet理论分析了周期解的稳定性及失稳后的动力学特性.
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| 关 键 词： | 非线性振动 稳定性 密封 转子 打靶法 |
| 文章编号： | 1000-0887(2003)11-1141-10 |
| 收稿时间： | 2002-03-26 |
| 修稿时间： | 2002年3月26日 |
Stability and Bifurcation of Unbalance Rotor/Labyrinth Seal System |
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| LI Song_tao ,XU Qing_yu ,WAN Fang_yi ,ZHANG Xiao_long.Stability and Bifurcation of Unbalance Rotor/Labyrinth Seal System[J].Applied Mathematics and Mechanics,2003,24(11):1141-1150. |
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| Authors: | LI Song_tao XU Qing_yu WAN Fang_yi ZHANG Xiao_long |
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| Institution: | 1.Architectural Engineering and Mechanics, Xi'an Jiaotong University, Xi'an 710049, P. R. China;2.Xi'an University of Architecture & Technology, Xi'an 710052, P. R. China |
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| Abstract: | The influence of labyrinth seal on the stability of unbalanced rotor system was presented. Under the periodic excitation of rotor unbalance, the whirling vibration of rotor is synchronous if the rotation speed is below stability threshold, whereas the vibration becomes severe and asynchronous which is defined as unstable if the rotation speed exceeds threshold. The Muszynska model of seal force and shooting method were used to investigate synchronous solution of the dynamic equation of rotor system. Then, based on Floquet theory the stability of synchronous solution and unstable dynamic characteristic of system were analyzed. |
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| Keywords: | nonlinear vibration stability seal rotor shooting method |
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