椭圆轴承-转子系统的稳定性与分岔

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

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)

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出版历程
- 收稿日期: 2007-01-29
- 修回日期: 2007-06-20
- 刊出日期: 2008-02-28

Stability and bifurcation of elliptic bearing-rotor systems

1.
School of Astronautics, Harbin Institute of Technology, Harbin 150001, China
2.
School of Energy Science and Engineering, Harbin Institute of Technology, Harbin 150001, China

摘要

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.
- 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
Abstract: The nonlinear dynamic behavior of elliptic bearing-rotor system was investigated by working on 200 MWsteam 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.
- aerospace propulsion system /
- elliptic bearing /
- steam turbine /
- reduction /
- nonlinear vibration /
- oil whip

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参考文献(15)

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