Optimal Tooth Modifications for Spur and Helical Gears

1989 ◽  
Vol 111 (4) ◽  
pp. 611-615 ◽  
Author(s):  
V. Simon

A method for the simultaneous calculation of optimal tooth tip relief and tooth crowning for spur and helical gears is presented in this paper. The tooth profile modification is described by a linear function. Two types of crowning are introduced: linear and parabolic. The optimization of the tooth modifications is based on the following conditions: (1) The teeth are entering in mesh smoothly, without interference. (2) The load distribution factor is minimized. A computer program is developed for the calculation of the optimal tooth tip relief and crowning for spur and helical gears. By using this program the influence of type and length of optimal crowning and length of tooth tip relief on load distribution factor is investigated. Also, the influence of gear parameters on optimal tooth profile modification is discussed. On the basis of the obtained results, by regression analysis an equation is derived for the calculation of the optimal tooth tip relief.

2011 ◽  
Vol 86 ◽  
pp. 384-388
Author(s):  
Yong Jun Wu ◽  
Jian Jun Wang ◽  
Qin Kai Han

A precise approach for the tooth profile modification (TPM) of helical gear is presented in the paper based on the static contact finite element analysis (FEA). The high-precision finite element model of helical meshing gear pairs is established. The type and amount of TPM are accurately determined by the static contact FEA results. The dynamic contact simulations of helical gears with and without tooth modification are investigated to estimate the vibration reduction effect of the TPM. Moreover the numerical simulations are compared with the experimental results. Both results show that the proposed precise TPM of helical gears is effective on vibration reduction around the working load, and the dynamic contact simulation is effective on estimating the vibration reduction influence of the TPM.


2016 ◽  
pp. 137-146
Author(s):  
Xuan Li ◽  
Chaoyang Li ◽  
Bingkui Chen ◽  
Yawen Wang ◽  
C. Lim Teik ◽  
...  

1985 ◽  
Vol 107 (1) ◽  
pp. 17-22 ◽  
Author(s):  
T. Tobe ◽  
K. Inoue

This paper deals with the longitudinal load distribution and the bending moment distribution of a pair of helical gears with a known total alignment error. The load distribution along the contact lines is calculated by the finite element method based on the plate theory including transverse shear deformation. Empirical formulas for both longitudinal load distribution factor and bending moment distribution factor are proposed for practical use. The load distribution factor in AGMA 218.01 is examined, and it is concluded that the load distribution factor is close to the calculated results if the value of unity is taken as the transverse load distribution factor.


Author(s):  
J D Smith

The factor by which the maximum load per unit length of gear tooth exceeds the nominal loading is of major importance when estimating the stresses on gears, but there is little information about the values that are to be expected with accurately made modern gears. A method for relatively simple computation of the effects of misalignment, profile and helix variations is given, together with typical results that show values of KH about 3, much higher than might be expected or predicted from BS 436.


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