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迷宫密封转子系统非线性动力稳定性的研究
引用本文:李松涛,许庆余,万方义.迷宫密封转子系统非线性动力稳定性的研究[J].应用力学学报,2002,19(2):27-30.
作者姓名:李松涛  许庆余  万方义
作者单位:西安交通大学,西安,710049
基金项目:国家自然科学基金资助项目 (5 93 3 5 10 0 )
摘    要:研究迷宫密封对转子系统动力稳定性的影响,迷宫密封的气动力采用Muszynska非线性力模型,计算了单盘Jeffcott转子非线性动力学特性。对Jacobi矩阵的分析表明,在密封力的影响下,转子达到一定转速后开始失稳,发生Hopf分岔,进入周期涡动状态,涡动幅度随转速的提高而增大,提高到一定程度,密封和转子发生碰摩,采用Runge-Kutta法数值模拟了转子的轴心轨迹。最后分析了迷宫密封的物理和结构参数对系统运动特性的影响。

关 键 词:迷宫密封  转子系统  非线性振动  稳定性  Runge-Kutta法
文章编号:1000-4939(2002)02-0027-04
修稿时间:2000年12月28

A Study on Nonlinear Dynamic Stability of Labyrinth Seal-Rotor System
Li Songtao,Xu Qingyu,Wan Fangyi.A Study on Nonlinear Dynamic Stability of Labyrinth Seal-Rotor System[J].Chinese Journal of Applied Mechanics,2002,19(2):27-30.
Authors:Li Songtao  Xu Qingyu  Wan Fangyi
Abstract:The nonlinear dynamic stability of rotor system with labyrinth seal is studied in this paper. To investigate the nonlinear dynamic characteristics of single span Jeffcott rotor system, the Muszynska model of seal dynamic forces is applied and the motion of rotor is simulated using Runge Kutta methods. The results of calculation of Jacobi matrix show that there is occurrence of Hopf bifurcation after threshold speed is exceeded and the rotor comes into bifurcated periodic orbit. While the amplitude of bifurcated periodic motion will rise according to improvement of rotor speed, which may cause the rotor impact seal at certain speed. Finally, the influence of physical and structural parameter of seal on rotor is investigated also.
Keywords:nonlinear vibration  stability  seal  rotor system  Runge  Kutta  
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