摘要
探讨了李雅普诺夫稳定性意义下转子－滑动轴承系统的稳定裕度问题。指出应将受非线性动压油膜力作用的转子－轴承系统的线性力学模型视为原非线性系统的第一次近似或线性化的结果。给出了系统稳定裕度的定义，并利用二次型的李雅普诺夫函数推导和论证了稳定裕度判据。最后，给出了几种典型滑动承轴支承的简单转子系统稳定裕度问题的分析实例。
This paper discusses for the first time the stability margin of rotor bearing systems.It is emphasized in this paper that the linear model of the rotor systems supported by hydrodynamic lubricated bearings should be viewed as the first approximation or linearization of the original non-linear system because of the non-linear characteristics of the hydrodynamic forces of bearings. The definition of stability margin was introduced and the criterion was deduced and proved. Finally, some examples are given to show the validity and uniqueness of the criterion.
出处
《机械工程学报》
EI
CAS
CSCD
北大核心
1995年第2期57-62,共6页
Journal of Mechanical Engineering
基金
国家博士点基金
关键词
稳定性
转子滑动轴承
李雅普诺夫函数
滑动轴承
Stability margin Rotor-bearing System Stability domain Liapunov function
