摘要
采用Muszynska密封力模型分析单圆盘平衡转子-密封系统的线性化稳定性与系统参数的关系。理论分析表明,平衡点失稳导致系数产生Hopf分叉,利用Poore的代数判据确定了转子Hopf分叉解的分叉方向和周期轨道的稳定性,数值模拟验证了理论分析结果。
The Muszynska′s model of seal fluid dynamical forces is used in this paper to investigate the relation of the linearized stability of a single span rotor seal system between its parameters.According to the theory of Hopf bifurcation,the instability leads to self excited whirling motion of the rotor generated from its equilibrium position.The direction of Hopf bifurcation and the stability of the bifurcated periodic orbit are determined by Poore′s algebraic criterion given in reference.The theoretical results are verified by the numerical results.
出处
《振动工程学报》
EI
CSCD
1997年第3期368-374,共7页
Journal of Vibration Engineering
基金
天津市自然科学基金
国家教委博士点基金
天津市电力局合作项目
关键词
非线性振动
稳定性
转子-密封系统
分叉
nonlinear vibration
stability
rotor seal system
Hopf bifurcation