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椭圆轴承-转子系统的稳定性与分岔
引用本文:王立刚,曹登庆,王晋麟,黄文虎,崔颖.椭圆轴承-转子系统的稳定性与分岔[J].航空动力学报,2008,23(2):263-269.
作者姓名:王立刚  曹登庆  王晋麟  黄文虎  崔颖
作者单位:1. 哈尔滨工业大学,航天学院,哈尔滨,150001
2. 哈尔滨工业大学,能源科学与工程学院,哈尔滨,150001
基金项目:国家自然科学基金重点项目(10632040)
摘    要:针对200 MW汽轮发电机组轴系,建立了椭圆轴承-转子系统的动力学模型和椭圆轴承油膜力非线性模型.利用固定界面模态综合法将608个自由度的非线性动力学系统降至30个自由度,然后采用Rouge-Kutta法对降维后的模型进行数值求解,得到随转速变化的频响曲线、分岔图和三维谱图,并据此分析系统的稳定性.利用转速变化的频响曲线,分析了偏心距、润滑剂黏度系数和轴承长径比等参数对系统动力特性的影响.数值结果表明:椭圆轴承-转子系统的稳定性区域要大于圆轴承?转子系统的稳定性区域.

关 键 词:航空、航天推进系统  椭圆轴承  汽轮机  降维  非线性振动  油膜振荡
文章编号:1000-8055(2008)02-0263-07
收稿时间:2007/1/29 0:00:00
修稿时间:2007年1月29日

Stability and bifurcation of elliptic bearing-rotor systems
WANG Li-gang,CAO Deng-qing,WANG Jin-lin,HUANG Wen-hu and CUI Yin.Stability and bifurcation of elliptic bearing-rotor systems[J].Journal of Aerospace Power,2008,23(2):263-269.
Authors:WANG Li-gang  CAO Deng-qing  WANG Jin-lin  HUANG Wen-hu and CUI Yin
Affiliation:School of Astronautics, Harbin Institute of Technology, Harbin 150001, China;School of Astronautics, Harbin Institute of Technology, Harbin 150001, China;School of Astronautics, Harbin Institute of Technology, Harbin 150001, China;School of Astronautics, Harbin Institute of Technology, Harbin 150001, China;School of Energy Science and Engineering, Harbin Institute of Technology, Harbin 150001, China
Abstract:The nonlinear dynamic behavior of elliptic bearing-rotor system was investigated by working on 200 MW steam turbine as an example.The finite element method was employed to establish a dynamical model of the system and a nonlinear model derived from the variational principle was adopted to describe the oil force of elliptic bearings.Then,the nonlinear dynamic system with 608-degree-of-freedom was reduced to a 30-degree-of-freeodm model in terms of the fixed interface mode synthesis method.The Rouge-Kutta method was employed to solve the reduced model numerically,and the frequency-response curve,the bifurcation diagram, and the three dimensional spectral plot obtained were used to analyze the stability of the rotor-bearing system.The effects,on the dynamic behavior of the system,of the eccentricity,the oil viscosity and the length-to-diameter ratio of bearing were discussed in terms of the frequency-response curve.The numerical results show that the stability range of the elliptic bearing-rotor model is larger than that of the circular bearing-rotor system.
Keywords:aerospace propulsion system  elliptic bearing  steam turbine  reduction  nonlinear vibration  oil whip
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