scholarly journals Transmission Error of a Helical Gear Pair with Modified Tooth Surfaces. 2nd Report. Effective Contact Ratio and the Effects of the Gear Dimensions on the Transmission Error.

1996 ◽  
Vol 62 (603) ◽  
pp. 4341-4348
Author(s):  
Mitsuhiro UMEYAMA ◽  
Masana KATO ◽  
Katsumi INOUE
Keyword(s):  
Transmission Error ◽  
Helical Gear ◽  
Gear Pair ◽  
Contact Ratio ◽  
Effective Contact ◽  
Tooth Surfaces ◽  
Helical Gear Pair

Effects of Gear Dimensions and Tooth Surface Modifications on the Loaded Transmission Error of a Helical Gear Pair

1998 ◽  
Vol 120 (1) ◽  
pp. 119-125 ◽  
Author(s):  
M. Umeyama ◽  
M. Kato ◽  
K. Inoue
Keyword(s):  
Transmission Error ◽  
Tooth Surface ◽  
Contact Ratio ◽  
Rotational Angle ◽  
Actual Contact ◽  
Transmission Errors ◽  
Effective Contact ◽  
Tooth Surfaces ◽  
Helical Gear Pair ◽  
Tooth Pair

Analysis of the loaded transmission error proved that the actual contact ratio and the effective contact ratios are the valid indices. In order to calculate the loaded transmission error, deformations of a pair of teeth are estimated using Hertzian formulas for the approach deformation and approximate formulas based on the FEM for the bending deflection. The actual contact ratio εr is defined using the rotational angle during which a tooth pair is actually in contact with each other. εr increases with the increase of applied loads. The effective contact ratio, εn, is determined geometrically by gear dimensions and modified tooth surfaces based on the path of contact. Adopting these ratios, the following characteristics are derived. 1) The loaded transmission error correlates to εr when it is smaller than εn and correlates to εn when εr exceeds εn. 2) Loaded transmission errors have their minimums and maximums at the same values of εr. 3) No load transmission error is the largest among the maximums. 4) Gear pairs with higher values of εn show lower loaded transmission error.

scholarly journals Macro geometry optimization of a helical gear pair for mass, efficiency, and transmission error

2020 ◽  
Vol 144 ◽  
pp. 103634 ◽  
Author(s):  
Su-chul Kim ◽  
Sang-gon Moon ◽  
Jong-hyeon Sohn ◽  
Young-jun Park ◽  
Chan-ho Choi ◽  
...  
Keyword(s):  
Geometry Optimization ◽  
Transmission Error ◽  
Helical Gear ◽  
Gear Pair ◽  
Helical Gear Pair

scholarly journals A Study on the Comparison of Transmission Error Prediction for a Helical Gear Pair

2015 ◽  
Vol 14 (2) ◽  
pp. 14-18
Author(s):  
Lae-sung Kim ◽  
Qi Zhang ◽  
Chang Choi ◽  
Longjun Liang ◽  
Sung-ki Lyu
Keyword(s):  
Transmission Error ◽  
Helical Gear ◽  
Error Prediction ◽  
Gear Pair ◽  
Helical Gear Pair

2930 Transmission Error Prediction of Helical Gear Pair with Variation in Tooth Flank Form

2007 ◽  
Vol 2007.4 (0) ◽  
pp. 45-46 ◽  
Author(s):  
Kunihiko MORIKAWA ◽  
Ryuta NISHIHARA ◽  
Koji KUMAGAI ◽  
Masaharu KOMORI
Keyword(s):  
Transmission Error ◽  
Helical Gear ◽  
Error Prediction ◽  
Gear Pair ◽  
Tooth Flank ◽  
Helical Gear Pair
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