转子/定子碰摩系统的非线性模态及其在干摩擦反向涡动响应预测中的应用

陈艳华; 江俊

doi:10.7652/xjtuxb201405015

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转子/定子碰摩系统的非线性模态及其在干摩擦反向涡动响应预测中的应用

更新时间：2025-07-09

- 转子/定子碰摩系统的非线性模态及其在干摩擦反向涡动响应预测中的应用
- Determination of Nonlinear Normal Modes with Applications to Prediction of Dry Friction Backward Whirl Motion of a Rotor/Stator Rubbing System
- 西安交通大学学报 2014年48卷第5期页码：82-88
- 作者机构：
  
  西安交通大学机械结构强度与振动国家重点实验室,西安,710049
- 作者简介：
- 基金信息：
  
  : 2013-09-21。作者简介: 陈艳华(1985—),男,博士生;江俊(通信作者),男,教授,博士生导师。基金项目: 国家自然科学基金资助项目(11172223)
- DOI：10.7652/xjtuxb201405015
  中图分类号： O327;TM301.4
- 网络首发：2014-05-10，
  
  纸质出版：2014
- 稿件说明：
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陈艳华, 江俊. 转子/定子碰摩系统的非线性模态及其在干摩擦反向涡动响应预测中的应用[J]. 西安交通大学学报, 2014,48(5):82-88.

Determination of Nonlinear Normal Modes with Applications to Prediction of Dry Friction Backward Whirl Motion of a Rotor/Stator Rubbing System[J]. 2014, 48(5): 82-88.
陈艳华, 江俊. 转子/定子碰摩系统的非线性模态及其在干摩擦反向涡动响应预测中的应用[J]. 西安交通大学学报, 2014,48(5):82-88. DOI： 10.7652/xjtuxb201405015.

Determination of Nonlinear Normal Modes with Applications to Prediction of Dry Friction Backward Whirl Motion of a Rotor/Stator Rubbing System[J]. 2014, 48(5): 82-88. DOI： 10.7652/xjtuxb201405015.

摘要

为了分析转子/定子碰摩系统中的非线性模态

确定交叉耦合效应对非线性模态的影响以及非线性模态在预测系统干摩擦反向涡动响应中的作用

针对一个考虑了定子运动学特性以及转子和定子间交叉耦合效应的四自由度转子/定子碰摩系统

用解析方法求解了其线性和非线性模态

分析了系统干摩擦反向涡动响应的涡动频率

确定了激发干摩擦反向涡动的临界速度与系统模态之间的关系。分析结果表明:系统存在2个负的线性模态频率; 随着碰摩面摩擦系数的增大

其负的非线性模态频率由1个增加到3个; 系统的2个负线性模态频率不但是相应非线性模态的边界

也是干摩擦反向涡动频率的上边界; 非线性模态存在的最小摩擦系数就是发生干摩擦反向涡动失稳的最小摩擦系数。此项研究可为转子/定子碰摩系统的响应预测提供新的思路。

Abstract

To determine the nonlinear normal modes(NNMs)and investigate the influence of cross-coupling effect on the NNMs as well as the function of NNMs in predicting dry friction backward whirl response in rotor/stator rubbing systems

a four-degree freedom rotor/stator rubbing system with the consideration of dynamics of the stator and the cross-coupling effects is investigated. Linear and nonlinear normal modes of the system are derived analytically

and the relationship between the whirl frequency and the critical rotating speed of the dry-friction backward whirl is exploited. It is found that the system possesses two linear normal modes and its negative NNMs vary from one to three with the increasing friction coefficient on the contact surface; the linear modal frequencies work not only as the existence boundaries of NNMs

but also as the upper limits of the whirl frequencies of the dry-friction backward whirl motion. Moreover

the minimal friction coefficient for the existence of the nonlinear normal modes is just the minimal friction coefficients for occurrence of the dry friction backward whirl motion. The results may facilitate providing a new prospective method for response prediction in rotor/stator rubbing systems.

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Keywords

references

BARTHA A R. Dry friction backward whirl of rotors[D]. Zurich, Switzerland: Swiss Federal Institute of Technology Zurich, 2000.

MUSZYNSKA A. Rotor-to-stationary element rub- related vibration phenomena in rotating machinery: literature survey[J]. Sound and Vibration Digest, 1989, 21(3): 3-11.

SAGHEER A. Literature survey: rotor casing contact phenomenon in rotor dynamics[J]. Journal of Vibration and Control, 2010, 16(9): 1369-1377.

江俊, 陈艳华. 转子与定子碰摩的非线性动力学研究[J]. 力学进展, 2013, 43(1): 132-148.

JIANG Jun, CHEN Yanhua. Advances in the research on nonlinear phenomena in rotor/stator rubbing systems[J]. Advances in Mechanics, 2013, 43(1): 132-148.

JIANG J, ULBRICH H. Stability analysis of sliding whirl in a nonlinear Jeffcott rotor with cross-coupling stiffness coefficient[J]. Nonlinear Dynamics, 2001, 24(3): 269-283.

CHU Fulei, ZHANG Zhengsong. Periodic, quasi-periodic and chaotic vibrations of a rub-impact rotor system supported on oil film bearings[J]. International Journal of Engineering Science, 1997, 35(10/11): 963-973.

DAY W B. Asymptotic expansions in nonlinear rotordynamics[J]. Quarterly of Applied Mathematics, 1987, 44(4): 779-792.

MUSZYNSKA A. Whirl and whip-rotor/bearing stability problems[J]. Journal of Sound and Vibration, 1986, 110(3): 443-462.

JIANG Jun. The physical reason and the analytical condition for the onset of dry whip in rotor-to-stator contact systems[J]. ASME Journal of Vibration and Acoustics, 2005, 127(6): 594-603.

JIANG Jun. The interplay of linear and nonlinear modes on the dynamics of a rotor/stator contact system[C]∥Proceedings of the 8th IFToMM International Conference on Rotordynamics. Seoul, Korea: KIST, 2010: 12-15.

SHANG Zhiyong, JIANG Jun, HONG Ling. The influence of the cross-coupling effects on the dynamics of rotor/stator rubbing[M]∥Dynamical Systems, Discontinuity, Stochasticity and Time-Delay. Berlin, Germany: Springer, 2010: 121-132.

BLACK H. Interaction of a whirling rotor with a vibrating stator across a clearance annulus[J]. Journal of Mechanical Engineering Science, 1968, 10(1): 1-12.

WILKES J C, DYCK B J, CHILDS D W, et al. The numerical and experimental characteristics of multi-mode dry-friction whip and whirl[C]∥Proceedings of the ASME Turbo Expo 2009: Power for Land, Sea and Air GT2009. Orlando, Florida, USA: ASME, 2009: 8-12.

JIANG Jun, WU Zhiqiang. Determine the characteristics of a self-excited oscillation in rotor/stator systems from the interaction of linear and nonlinear normal modes[J]. International Journal of Bifurcation and Chaos, 2010, 20(12): 4137-4150.

CHEN Yanhua, JIANG Jun. Determination of nonlinear normal modes of a planar nonlinear system with a constraint condition[J]. Journal of Sound and Vibration, 2013, 332: 5151-5161.

JIANG Jun, SHANG Zhiyong, HONG Ling. Characteristics of dry fiction backward whirl: a self-excited oscillation in rotor-to-stator contact systems[J]. Science China: Technological Science, 2010, 53(3): 674-683.

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