摘要
针对推力轴承支承下,推力轴承对柔性转子系统的稳定性影响问题,考虑转子的倾斜后得到了推力轴承提供的非线性力和力矩,建立了单盘柔性转子系统的有限元模型.将转子的轴向和横向运动方程相结合,对其线性自由度进行缩减后形成了整个系统的动力方程,运用打靶法和Floquet稳定性分叉理论,分析了推力轴承以及圆盘质量偏心对整个系统的非线性动力影响.数值结果表明,推力轴承对整个系统运行的稳定性和分叉行为有很大影响,推力轴承延迟了系统周期解的分叉,提高了临界转速和失稳转速,降低了转子共振振幅,因此推力轴承有助于转子系统的稳定运行.
Aiming at the problem that how the stability of a flexible rotor system is influenced by thrust bearing, the nonlinear force and moment provided by the thrust bearing are derived and a finite element model of the flexible rotor with a disk is established. And the dynamic equation of the system is formed by combing the axial equation with the lateral equation after reducing the linear degree of freedom. The shooting method and Floquet theory are employed to analyze the effects of thrust bearing and mass eccentricity of the disks on the nonlinear dynamic characteris- tics of the rotor system. The numerical results show that thrust bearing has great influence on stability and bifurcation of the motion of system. Thrust bearing can postpone the bifurcation of the periodic motion of system, heighten the critical speed and the stability threshold speed and lower the resonant amplitude of the rotor. Thus, thrust bearing improves the stability of the rotor system.
出处
《西安交通大学学报》
EI
CAS
CSCD
北大核心
2011年第9期108-113,共6页
Journal of Xi'an Jiaotong University
基金
国家自然科学基金资助项目(51075315)
国家重点基础研究发展计划资助项目(2007CB707700)
关键词
推力轴承
柔性转子系统
非线性
分叉
稳定性
thrust bearing
flexible bearing-rotor system
nonlinear
bifurcation
stability
