[1] Yuan Ding, Jiang Shuyun,. Analysis of dynamic characteristics of self-aligning ball bearing [J]. Journal of Southeast University (English Edition), 2010, 26 (3): 410-414. [doi:10.3969/j.issn.1003-7985.2010.03.008]
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Analysis of dynamic characteristics of self-aligning ball bearing(
)
调心球轴承动态特性参数分析
)Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]
- Volumn:
- 26
- Issue:
- 2010 3
- Page:
- 410-414
- Research Field:
- Mechanical Engineering
- Publishing date:
- 2010-09-30
Info
- Title:
- Analysis of dynamic characteristics of self-aligning ball bearing
- 调心球轴承动态特性参数分析
- Author(s):
- Yuan Ding; Jiang Shuyun
- School of Mechanical Engineering, Southeast University, Nanjing 211189, China
- Keywords:
- self-aligning ball bearing; dynamic characteristics; Jones-Harris method(JHM); Newton-Raphson method; bearing stiffness
- PACS:
- TH132
- DOI:
- 10.3969/j.issn.1003-7985.2010.03.008
- Abstract:
- A dynamics model of the self-aligning ball bearing is proposed based on the Jones-Harris method(JHM), and a computer program is developed to solve the equations by using the Newton-Raphson method. A parametric analysis of the centrifugal force and the gyroscopic moment, the contact loads, the contact angles, the radial deformation and the radial stiffness is carried out. The analytical results show that the applied loads and the rotational speed are two main factors that can influence the distributions of the contact loads and values of the contact angles. The centrifugal force and the gyroscopic moment increase with the increase in the rotational speed, resulting in the decrease of the inner raceway contact load and the increase of the outer raceway contact load. The outer raceway contact angle increases under the centrifugal force; on the contrary, the inner raceway contact angle decreases. Furthermore, the differences between the inner and the outer contact angles increase with the increase in the rotational speed. The higher rotational speed results in the decrease in radial stiffness for the self-aligning ball bearing, and the raceway curvature coefficient, to some extent, also influences the radial stiffness.
- 基于Jones-Harris方法建立了调心球轴承的动力学模型, 应用Newton-Raphson方法对轴承动力学方程组进行了求解, 开发了相应的计算程序.完成了该轴承的离心力、陀螺力矩、接触载荷、接触角、径向变形与径向刚度等动态特性参数分析.分析结果表明:转速与载荷是影响接触角大小与接触载荷分布最主要的2个因素;滚子的离心力与陀螺力矩随着转速的上升而增大, 在此影响下外圈接触载荷增大而内圈接触载荷减小;受离心力的影响, 外圈的接触角减小而内圈的接触角增大, 且随着转速的增加, 内外圈接触角的差值越来越大;轴承的径向刚度随着转速的上升而下降, 而滚道沟曲率系数也对轴承径向刚度有一定程度的影响.
References:
[1] Harris T A. Rolling bearing analysis [M]. 2nd ed. New York: John Wiley and Sons, Inc, 1984:119-278. [2] Wang Baomin, Mei Xuesong, Hu Chibing, et al. Contact angular calculation and analysis of high-speed angular contact ball bearing [J]. Transactions of the Chinese Society of Agricultural Machinery, 2008, 39(9):174-178.(in Chinese)
[3] Zhao Chunjiang, Cui Guohua, Wang Guoqiang, et al. Precise definition of contact angle field on high speed angular-contact ball bearing under axial load [J]. Transactions of the Chinese Society of Agricultural Machinery, 2008, 39(12): 153-156.(in Chinese)
[4] Tang Yunbing, Gao Deping, Luo Guihuo. Research of aero-engine high-speed ball bearing [J]. Journal of Aerospace Power, 2006, 21(2): 354-360.(in Chinese)
[5] Xu Yanzhong, Jiang Shuyun. Dynamic characteristics of high speed angular-contact ceramic ball bearing [J]. Journal of Southeast University: English Edition, 2004, 20(3): 319-323.
[6] Li Songsheng, Chen Xiaoyang, Zhang Gang, et al. Analysis of dynamic supporting stiffness about spindle bearings at extra high-speed in electric spindles [J]. Chinese Journal of Mechanical Engineering, 2006, 42(11): 60-65.(in Chinese)
[7] Lee D S, Choi D H. Reduced weight design of a flexible rotor with ball bearing stiffness characteristics varying with rotational speed and load [J]. Journal of Vibration and Acoustics, Transactions of the ASME, 2000, 122(3): 203-208.
[8] Qiu Ming, Jiang Xingqi, Du Yinhui, et al. Rigidity calculation for high speed angular contact ball bearings [J]. Bearing, 2001(11): 5-8.(in Chinese)
[9] Chen Jenq-Shyong, Hwang Yii-Wen. Centrifugal force induced dynamics of a motorized high-speed spindle [J]. Int J Adv Manuf Technol, 2006, 30(1): 10-19.
[10] Yuan Kang, Huang Chih-Ching, Lin Chorng-Shyan, et al. Stiffness determination of angular-contact ball bearings by using neural network [J]. Tribology International, 2006, 39(6): 461-469.
[11] Hernot X, Sartor M, Guillot J. Calculation of the stiffness matrix of angular contact ball bearings by using the analytical approach [J]. Journal of Mechanical Design, Transactions of the ASME, 2000, 122(1): 83-90.
Memo
- Memo:
-
Biographies: Yuan Ding(1983—), male, graduate; Jiang Shuyun(corresponding author), male, doctor, professor, jiangshy@seu.edu.cn.
Foundation items: The National Natural Science Foundation of China(No.5047507, 50775036), the High Technology Research Program of Jiangsu Province(No.BG2006035), the Natural Science Foundation of Jiangsu Province(No.BK2009612).
Citation: Yuan Ding, Jiang Shuyun.Analysis of dynamic characteristics of self-aligning ball bearing[J].Journal of Southeast University(English Edition), 2010, 26(3):410-414.