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Journal of Tsinghua University(Science and Technology)    2014, Vol. 54 Issue (6) : 744-749     DOI:
Orginal Article |
Measurement and curve fitting of the friction torque of rolling bearings subjected to radial loads
Run TAO,Zhichao HOU()
State Key Laboratory of Automotive Safety and Energy, Tsinghua University, Beijing 100084, China
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Abstract  

A device is developed to measure the friction torque of rolling bearings subjected to radial loads while running at steady speeds. The friction torques are measured at various speeds and radial loads for typical rolling bearings used in an engine front end accessory belt drive of a passenger vehicle. The least squares method is used to fit the friction torque and the rotational speed with the optimal function chosen according to the correlation coefficient and significance level. A set of empirical formulae are then derived for the friction torque in terms of both the rotational speed and the radial load. The expressions are more accurate than the Palmgren formula. The test method can be applied to measure the friction torque of rolling bearings used in other fields as a valuable method to characterize the torque characteristics.

Keywords rolling bearing      radial loading      friction torque      data fitting      engine front end accessory belt drive     
Issue Date: 15 June 2014
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Run TAO
Zhichao HOU
Cite this article:   
Run TAO,Zhichao HOU. Measurement and curve fitting of the friction torque of rolling bearings subjected to radial loads[J]. Journal of Tsinghua University(Science and Technology), 2014, 54(6): 744-749.
URL:  
http://jst.tsinghuajournals.com/EN/     OR     http://jst.tsinghuajournals.com/EN/Y2014/V54/I6/744
  
  
  
  
  
  
  
  
序号 函数 拟合公式 相关系数R2
1 对数函数 y=25.81·lnx+96.9 0.664
2 幂函数 y=100x0.377 0.684
3 指数函数 y=41.69e1.19x 0.753
4 一次多项式 y=82.43x+36.58 0.748
5 二次多项式 y=45.67x2+45.67x+42.25 0.754
6 三次多项式 y=-461x3+623.5x2-165.8x+63.25 0.771
7 四次多项式 y=-477.5x4+323.5x3+185.1x2-69.9x+56.49 0.772
8 五次多项式 y=733.6x5-1965x4+1450x3-207.1x2-8.129x+53.03 0.772
  
转速/(r·min-1) σ/(N·mm)
载荷100 N 载荷500 N 载荷1 000 N 载荷1 500 N 载荷2 000 N
1 500 0.3 3.9 4.5 8.8 12.7
2 900 2.3 3.0 6.7 6.6 10.4
4 350 3.2 2.9 7.8 8.6 10.4
5 050 2.1 7.1 10.0 9.0 5.9
5 770 5.4 3.4 9.6 11.0 17.8
  
  
载荷/N 1 500 r/min 2 900 r/min 4 340 r/min 5 770 r/min 7 060 r/min
Ti/(N·mm) τ/% Ti/(N·mm) τ/% Ti/(N·mm) τ/% Ti/(N·mm) τ/% Ti/(N·mm) τ/%
100 4.9 71.7 7.0 77.0 8.9 77.8 10.5 78.0 11.8 80.3
500 9.5 69.5 11.6 70.1 13.4 69.9 15.0 71.6 16.4 74.4
1 000 15.2 59.6 17.3 60.8 19.1 65.3 20.7 68.7 22.1 69.6
1 500 20.9 57.5 23.0 57.2 24.8 62.9 26.4 69.2 27.8 71.5
2 000 26.6 53.3 28.7 53.5 30.5 57.3 32.1 68.0 33.5
  
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