Forced vibration of a thin walled bearing rotor system considering waviness

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Journal of Vibration and Shock ›› 2017, Vol. 36 ›› Issue (1) : 96-101.

KANG Feng1, ZHANG Yao-qiang1, YANG Ru-ping1, NIU Qing-bo2

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Abstract

The nonlinear dynamic differential equations of a thin walled bearingrotor system were established considering nonlinear factors, such as, inner and outer race waviness, internal radial clearance and variable flexibility. Then, they were solved using the method of RK4 numerical integration. The nonlinear forced vibration characteristics of the system were analyzed with bifurcation diagram, Poincaré map and spectrogram. The analysis results showed that the range of the system's chaos vibration becomes larger under a larger unbalanced force; the unbalanced force has a much bigger effect on the system's vibration response in the horizontal direction than it does on the system's vibration in the vertical direction; the forced vibration frequency gradually occupies the dominant position in the system's vibration with increase in the rotating speed.

Key words

thin-walled bearing-rotor system / vibration analysis / waviness / forced vibration

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KANG Feng1, ZHANG Yao-qiang1, YANG Ru-ping1, NIU Qing-bo2. Forced vibration of a thin walled bearing rotor system considering waviness[J]. Journal of Vibration and Shock, 2017, 36(1): 96-101

References

[1] 黄文虎,武新华,等. 非线性转子动力学研究综述 [J]. 振动工程学报,2000,04:5-17.
HUANG Wen-hu, WU Xin-hua, et al. Review of nonlinear rotor dynamics [J]. Journal of Vibration Engineering.2000,04: 5-17.
[2] Wang Liqin, Cui Li, Zheng Dezhi, et al. Nonlinear Dynamics Behaviors of a Rotor Roller Bearing System with Radial Clearances and Waviness Considered [J]. Chinese Journal of Aeronautics, Volume 21, Issue 1, February 2008, Pages 86-96.
[3] Upadhyay S H, Jain S C, Harsha S P. Vibration analysis of an unbalanced rotating shaft due to ball waviness [J]. Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference 2009, DETC2009, v 1, n PART B, p 979-986.
[4] Jang G H, Jeong S W. Analysis of a ball bearing with waviness considering the centrifugal force and gyroscopic moment of the ball [J]. Journal of Tribology, v 125, n 3, p 487-498, July 2003.
[5] 张耀强,陈建军,唐六丁,等. 滚动轴承—转子系统非线性参数、强迫联合振动 [J]. 机械强度,2009,06: 871-875.
ZHANG Yao-qiang, CHEN Jian-jun, TANG Liu-ding, et al. Nonlinear vibrations of a rolling bearing-rotor system subject to parametrical and external excitations [J]. Journal of Mechanical Strength, 2009,06: 871-875.
[6] Kim Y –B, Noah S T. Quasi-periodic response and stability analysis for a non-linear Jeffcott rotor [J]. Journal of Sound and Vibration, v 190, n 2, p 239-253, Feb 22 1996.
[7] Choudhury A, Tandon N. Vibration response of rolling element bearings in a rotor bearing system to a local defect under radial load [J]. Journal of Tribology, v 128, n 2, p 252-261, April 2006.
[8] 杨将新,曹冲锋,曹衍龙等.内圈局部损伤滚动轴承系统动态特性建模及仿真 [J].浙江大学学报(工学版), 2007, 41(4): 551-555.
YANG Jiang-xin, CAO Chong-feng, CAO Yan-long, et al. Modal for dynamic characteristics produced by inner race local defect in ball bearing system and its simulation [J]. Journal of Zhejiang University(Engineering Science). 2007, 41(4): 551-555.
[9] 张耀强,陈建军,唐六丁,等. 滚动轴承-JEFFCOTT转子系统非线性动力响应分析 [J]. 振动与冲击, 2008, 05: 56-59.
ZHANG Yao-qiang, CHEN Jian-jun, TANG Liu-ding, et al. Analysis of nonlinear dynamic response of a rolling bearing-Jeffcott rotor system [J]. Journal of Vibration and Shock, 2008, 05: 56-59.
[10] 张耀强,陈建军,邓四二,等. 考虑表面波纹度的滚动轴承-转子系统非线性动力特性 [J]. 航空动力学报, 2008, 09: 1731-1736.
ZHANG Yao-qiang, CHAN Jian-jun, DENG Si-er, et al. Nonlinear dynamic characteristics of a rolling bearing-rotor system with surface waviness [J]. Journal of Aerospace Power. 2008, 09: 1731-1736.
[11] Harris T A. Rolling bearing analysis [M]. 4th ed. New York: John Wiley & Sons, 2001: 60-61.
[12] 张耀强. 陀螺仪转子系统非线性动力特性及稳定性分析 [D]. 西安电子科技大学, 2011.
ZHANG Yao-qiang. Research on Nonlinear Dynamic Characteristics and Stability of Gyroscope Rotor System [D]. Xidian University, 2011.