A Numerical Method on Estimation of Stable Regions of Rotor Systems Supported on Lubricated Bearings

ZHENG Hui-ping; CHEN Yu-shu

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 2002 > 23(10): 991-996

ZHENG Hui-ping, CHEN Yu-shu. A Numerical Method on Estimation of Stable Regions of Rotor Systems Supported on Lubricated Bearings[J]. Applied Mathematics and Mechanics, 2002, 23(10): 991-996.

Citation:

ZHENG Hui-ping, CHEN Yu-shu. A Numerical Method on Estimation of Stable Regions of Rotor Systems Supported on Lubricated Bearings[J]. Applied Mathematics and Mechanics, 2002, 23(10): 991-996.

Citation:

ZHENG Hui-ping, CHEN Yu-shu. A Numerical Method on Estimation of Stable Regions of Rotor Systems Supported on Lubricated Bearings[J]. Applied Mathematics and Mechanics, 2002, 23(10): 991-996.

PDF( 1454 KB)

A Numerical Method on Estimation of Stable Regions of Rotor Systems Supported on Lubricated Bearings

School of Mechanical Engineering, Tianjin University, Tianjin 300072, P R China

Received Date: 2000-05-18
Rev Recd Date: 2002-05-31
Publish Date: 2002-10-15

Abstract

Abstract

The stability degree of periodic solution of nonlinear nonautonomous system was defined by means of the Floquet theory. A method evaluating the stability degree of periodic solution based on transient response was presented by the aid of the concept of dynamic systems or flows. The critical value of a system was determined by the condition i. e. its stability degree equals zero. Stable regions of rotor systems with balanced and unbalanced disk supported on lubricated bearings were calculated. The study shows that stable region decreases with the increase of speed for a balanced rotor system and decreases with the increase of unbalance for an unbalanced rotor system. Stable regions of periodic solutions are less than that of equilibrium points under the same systematic conditions.
- nonlinear rotor system,
- stability degree,
- bifurcation,
- stable region

FullText(HTML)

References(7)

References

[1]	Genesio Roberto,Tarta Michele,Vicino Antonio. On the estimation of asymptotic stability regions:state of the art and new proposals[J]. IEEE Transactions on Automatic Control,1985,AC-30(8):747-755.
[2]	张卫,朱均. 转子-滑动轴承系统的稳定裕度[J]. 机械工程学报,1995,31(2):57-62.
[3]	傅予力,廖晓昕,江振华,等. 汽轮发电机组轴系扭振平衡位置分析与稳定域估计[J]. 电力系统自动化,2000,24(8):6-9.
[4]	钟一锷. 转子动力学[M]. 北京:清华大学出版社,1986,41-63.
[5]	郑惠萍. 滑动轴承不平衡转子系统非线性动力学稳定性及其稳定裕度的研究[D]. 博士论文. 天津:天津大学,2000,48-56.
[6]	秦元勋. 运动稳定性理论与应用[M]. 北京:科学出版社,1981,214-229.
[7]	CHEN Yu-shu,Leng Andrew Y T. Bifurcation and Chaos in Engineering[M]. London:Springer-Verlag,1998,194-197.