非线性转子-密封系统的亚谐共振失稳机理研究  

Study on the Mechanism of Subharmonic Instability of Nonlinear Rotor/Seal Systems

作　　者：丁千[1] 陈予恕[1] 

机构地区：[1]天津大学力学系

出　　处：《振动工程学报》1997年第4期404-412,共9页Journal of Vibration Engineering

基　　金：天津市自然科学基金;天津电力工业局合作项目

摘　　要：研究单圆盘转子－密封系统的亚谐共振失稳机理，密封力采用Ｍｕｓｚｙｎｓｋａ模型。文［１］曾研究了平衡系统的Ｈｏｐｆ分岔，表明转子平衡态失稳后进入周期涡动状态，本文研究不平衡质量对失稳运动的影响，即周期扰动的Ｈｏｐｆ分岔问题。研究得到了转子在分岔点附近的１／２亚谐共振情况下的振动性态，为转子亚谐共振故障的识别和预防提供了一些新的理论依据。The Muszynska model of seal fluid dynamical forces is used to investigate the mechanism of subharmonic instability in a single span rotor/seal system.The Hopf bifurcation of the system in balanced case is studied in paper ,which shows that the system is led from it′s equilibrium position into periodically whirling state after the threshold speed is exceeded.The bifurcated whirling motion under the influence of the rotating unbalanced force,or the problem of the periodically perturbed Hopf bifurcation is analyzed in this paper.The vibration behaviour in case of 1/2 subharmonic resonance and in the neighbourhood of the equilibrium point are given, which provides a new theoritical basis in recognizing and protecting the rotor from the subharmonic resonant failures of the turbine machinery.

关 键 词：非线性系统 亚谐共振 转子-密封系统 稳定性 

分 类 号：TH113.25[机械工程—机械设计及理论]