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脉动流诱发振动系统稳定性分析
引用本文:张楠. 脉动流诱发振动系统稳定性分析[J]. 工具技术, 2014, 0(11): 29-32
作者姓名:张楠
作者单位:北京建筑大学; 北京市建筑安全监测工程技术研究中心
基金项目:国家自然科学基金(51004005);北京市优秀人才培养资助项目
摘    要:建立了脉动流诱发振动转子密封系统的振动模型的一次近似方程,分析了系统的平衡点稳定性问题。从脉动流诱发振动的角度,建立转子密封系统的振动模型的一次近似方程为线性周期系数系统的方程。脉动流诱发振动转子密封系统的振动模型的稳定性判别,采用微分方程稳定性理论当中的线性周期系数系统的稳定性判据,讨论了系统的平衡点稳定性问题。研究表明,系统满足一定情况时能实现零解稳定性。

关 键 词:脉动流诱发振动  转子密封系统  稳定性  线性周期系数  一次近似方程

Analysis of System Stability of Flow Induced Vibration
Zhang Nan. Analysis of System Stability of Flow Induced Vibration[J]. Tool Engineering(The Magazine for Cutting & Measuring Engineering), 2014, 0(11): 29-32
Authors:Zhang Nan
Abstract:The first approximate stability criteria of the vibration model in the rotor -seal system are established based on the pulsating flow induced vibration.The stability of the system is analyzed by using the first approximate stability crite-ria.The first approximate stability criteria are the linear equation with periodic coefficients.Therefore,by using stability theory of differential equations periodic coefficients,the stability of the system is analyzed.The investigation also demon-strates that:the proposed method from the point of view of pulsating flow induced vibration can be effectively applied to the analysis of the rotor -seal system.
Keywords:flow induced vibration  rotor -seal system  stability  periodic coefficient  first approximate equation
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