Research on rub-impact response of a flexible connected rotor with a special limiter

PDF(2429 KB)

Journal of Vibration and Shock ›› 2024, Vol. 43 ›› Issue (4) : 158-165.

LI Shitu1,BAI Yujie1,2,YANG Xuan1,2,WU Tingwei1,2

Author information +

History +

Abstract

A flexible connected two segment rotor-limiter system has been taken as the research object, the Lagrange method is used to establish the dynamic equation of the rotor system considering the gyro effect. The Hooke contact model and Coulomb collision model are used to describe the interaction between the variable stiffness limiter and the rotor, and numerical methods are used to solve the rub-impact response. The rub-impact behavior under different collision stiffness and friction coefficient is analyzed, and the concept of the rub-impact stability region is introduced and calculated. Rub-impact experiments under different excitation intensities are carried out, which are compared with results of theoretical analysis. The research shows that there are three typical rub-impact behaviors in the rotor rub-impact response: infinite rub-impact, restoring stability after finite rub-impact, and synchronous full annular rub-impact. Friction is the key factor leading to rotor instability, and there is an optimal range of collision stiffness of the limiter. The friction model of the limiter could provide a reference for engineering design.

Key words

limiter / rotor system / rub-impact

Cite this article

EndNote

Ris (Procite)

Bibtex

Download Citations

LI Shitu1,BAI Yujie1,2,YANG Xuan1,2,WU Tingwei1,2. Research on rub-impact response of a flexible connected rotor with a special limiter[J]. Journal of Vibration and Shock, 2024, 43(4): 158-165

References

[1] 王正浩. 弹性转子系统地震响应与若干非线性动力学问题的研究[D]. 东北大学, 2010 Wang Zhenghao. Studies on Earthquake Response and Some Non-linear Dynamics Problems in Elastic Rotor System [D]. Northeastern University, 2010 [2] Muszynska A. Stability of whirl and whip in rotor/bearing systems[J]. Academic Press, 1988,127(1). [3] Ehrich F. F. Observations of Subcritical Superharmonic and Chaotic Response in Rotordynamics[J]. Journal of Vibration and Acoustics, 1992,114(01):93-100. [4] Goldman P, A Muszynska. Chaotic Behavior of Rotor/Stator Systems With Rubs[J]. Journal of Engineering for Gas Turbines and Power, 1994,116(03):V3C-V17C. [5] Flowers G. T, F Wu. Disk/shaft vibration induced by bearing clearance effects: analysis and experiment [J]. ASME.Journal Vibration and Acoustic, 1996,118:204-208. [6] Ganesan R. Nonlinear vibration and stability of a rotor-bearing system with nonsymmetric clearance[J]. ASME Journal Engineering for Gas Turbine and Power, 1997,119:418-423. [7] 张文. 多自由度转子系统的干摩擦失稳[J]. 振动工程学报, 1988,(03):80-84. Zhang Wen. Whirl Instability of Multi-Degree-of-Freedom Rotor Systems dur to Dry Friction [J]. Journal of Vibration Engineering, 1988,(03):80-84 [8] 褚福磊, 张正松, 冯冠平. 碰摩转子系统的混沌特性[J]. 清华大学学报(自然科学版), 1996(07):54-59. Chu Fulei, Zhang Zhengsong, Feng Guanping. Chaotic behavior of a rub rotor model [J]. Journal of Tsinghua University (Natural Science), 1996(07):54-59 [9] 褚福磊, 汤晓瑛, 唐云. 碰摩转子系统的稳定性[J]. 清华大学学报(自然科学版), 2000(04):119-123. Chu Fulei, Tang Xiaoying, Tang Yun. Stability of a rub-impact rotor system [J]. Journal of Tsinghua University (Natural Science), 2000(04):119-123. [10] Zhang Xiaozhang. Nonlinear Vibration of Rotor Rubbing Stator Caused by Initial Perturbation[J]. Tsinghua Science and Technology, 2001(04):335-339. [11] 贾翔宇, 汪军水, 徐旸, 等. 接触参数对储能飞轮转子碰摩行为的影响[J]. 储能科学与技术, 2021,10(05) Jia Xiangyu, Wang Junshui, Xu Yang, et al. Rubbing behavior research of flywheel rotor for energy storage in view of influence of contact parameters [J]. Energy Storage Science and Technology, 2021,10(05):1643-1649.:1643-1649. [12] 白宇杰, 姜磊, 杨璇, 等. 一种限位器高速转子系统的碰摩行为[J]. 噪声与振动控制, 2018,38(05):62-65. Bai Yujie, Jiang Lei, Yang Xuan, et al. Study on the Rub-impact Behaviour of a Rotor System with Stoppers [J].Noise and Vibration Control, 2018,38(05):62-65. [13] 聂日敏,曹树谦,郭虎伦.航空发动机双转子系统高/低压涡轮碰摩振动分析[J].振动与冲击,2021,40(01):243-253+263. Nie Rimin, Cao Shuqian, Guo Hulun. Ｒub － impact vibration analysis of PH / LH turbines of aeroengine dual － rotor system [J]. Journal of Vibration and Shock, 201,40(01):243-253+263. [14] 郭旭民,孙祺,马辉,孙帆.旋转叶片-柔性机匣碰摩振动响应分析[J].振动与冲击,2019,38(05):162-168. Guo Xumin, Sun Qi, Ma Hui, Sun Fan. Rub vibration responses of rotating blade and flexible casing [J]. Journal of Vibration and Shock,2019,38(05):162-168. [15] 侯理臻,廖明夫,王四季,等.航空发动机转子不平衡下转静碰摩试验研究[J].振动与冲击,2019,38(22):14-20+43. Hou Lizhen, Liao Mingfu, Wang Seasons, et al. Experimental study on the aero － engine rotor － stator rubbing in imbalance [J]. Journal of Vibration and Shock,2019,38(22):14-20+43. [16] Hertz H. ber Die Berührung Fester Elastischer Krper[J]. Journal für die reine und angewandte Mathematik (Crelles Journal), 1882,92:156-171. [17] Brändlein J, Wälzlagerpraxis Die. Handbuch für die Berechnung und Gestaltung von Lagerungen.[M]. Germany: Vereinigte Fachverlage, 1998. [18] Goldsmith W. Impact—the theory and physical behaviour of colliding solids.[M]. England: Edward Arnold Ltd, 1960. [19] 许斌, 徐尉南, 张文. 单盘转子的同步全周碰摩及其稳定性分析[J]. 复旦学报(自然科学版), 2006(02):148-154. Xu Bin, Xu Weinan, Zhang Wen. Stuty of Synchronous Full Annular Rub of Jeffcott Rotor and Its Dynamic Stability [J]. Fudan Journal (Natural Science), 2006(02):148-154. [20] 刘献栋, 李其汉. 质量偏心旋转机械整圈碰摩的稳定性及其 Hopf 分叉[J]. 振动工程学报, 1999,12(1):40-46. Liu Xiandong, Li Qihan. The Stability and Hopf Bifurcation in the Annular Impact-rub of Rotating Machinery with Imbalance [J]. Journal of Vibration Engineering, 1999,12(1):40-46 [21] G. Schwitzer, Maslen Eric H. Magnetic Beraings[M]. Berlin: Springer, 2009.