Closure to “Discussion of ‘Optimum Profile Modifications for the Minimization of Static Transmission Errors of Spur Gears’” (1986, ASME J. Mech. Transm. Autom. Des., 108, p. 94)

1986 ◽  
Vol 108 (1) ◽  
pp. 94-95
Author(s):  
M. S. Tavakoli ◽  
D. R. Houser
Keyword(s):  
Spur Gears ◽  
Transmission Errors ◽  
Optimum Profile

Optimum Profile Modifications for the Minimization of Static Transmission Errors of Spur Gears

1986 ◽  
Vol 108 (1) ◽  
pp. 86-94 ◽  
Author(s):  
M. S. Tavakoli ◽  
D. R. Houser
Keyword(s):  
Transmission Error ◽  
Spur Gears ◽  
Contact Ratio ◽  
Transmission Errors ◽  
Gear Mesh ◽  
Starting Point ◽  
Frequency Components ◽  
Design Loads ◽  
Static Transmission Error ◽  
Optimum Profile

A procedure for computing static transmission errors and tooth load sharing was developed for low and high contact ratio internal and external spur gears. A suitable optimization algorithm was used to minimize any combination of the harmonics of gear mesh frequency components of the static transmission error. Different combinations of tip and root relief may be used to achieve optimization. These include varying the starting point of relief and varying the magnitude of relief, and selecting the gear and/or the pinion teeth to be tip and/or root-relieved. Also, there exists an option for using either linear or parabolic relief. In addition to the presentation of optimal profile modifications, the effects of off-design loads, nonoptimum modifications, and random spacing errors are presented.

Computerized Design, Generation and Simulation of Meshing of Modified Involute Spur Gears With Localized Bearing Contact and Reduced Level of Transmission Errors

1997 ◽  
Vol 119 (1) ◽  
pp. 96-100 ◽  
Author(s):  
F. L. Litvin ◽  
D. H. Kim
Keyword(s):  
Computer Programs ◽  
Spur Gears ◽  
Numerical Examples ◽  
Transmission Errors ◽  
Bearing Contact ◽  
Design Generation

The authors propose modification of geometry of spur gears that enable to localize the bearing contact and reduce the level of transmission errors. Methods for generation of spur gears with the modified geometry are proposed as well. Computer programs for simulation of meshing and contact of misaligned spur gears with the modified geometry have been developed. The developed theory is illustrated with numerical examples.

Derivation of Optimum Profile Modifications in Narrow-Faced Spur and Helical Gears Using a Perturbation Method

2013 ◽  
Vol 135 (7) ◽  
Author(s):  
J. Bruyère ◽  
P. Velex
Keyword(s):  
Perturbation Method ◽  
Closed Form ◽  
Contact Ratio ◽  
Helical Gears ◽  
Transmission Errors ◽  
Optimum Profile ◽  
Center Distance

A perturbation method is presented which makes it possible to obtain approximate closed-form expressions for profile relief that minimize the fluctuations of quasi-static transmission errors under load. A number of results are displayed which prove the theoretical effectiveness of the proposed solutions for low-contact ratio (LCR) and high-contact ratio (HCR) spur and helical gears. It is also shown that the corresponding relief performance is not significantly downgraded by center-distance (CD) variations. Finally, a number of practical considerations are brought up and commented.

scholarly journals Investigation on the wear of spur gears generated by modified cutter

Friction ◽  
2020 ◽  
Vol 9 (2) ◽  
pp. 288-300
Author(s):  
Fangyan Zheng ◽  
Jun Zhang ◽  
Ligang Yao ◽  
Rulong Tan
Keyword(s):  
Wear Resistance ◽  
Tool Wear ◽  
Tooth Surface ◽  
System Failure ◽  
Spur Gears ◽  
Surface Wear ◽  
Wear Performance ◽  
Transmission Errors ◽  
Wear Damage ◽  
Profile Loss

AbstractTooth surface wear damage is one of the main causes of gearing system failure. Excessive wear leads to tooth profile loss and an increase in transmission errors, as the worn gear surfaces are no longer conjugate. Thus, the enhancement of gear durability against wear is important for gear application. Recent works show that cutter modification can aid in reducing the tool wear in gear processing, while the wear performance of the gears produced by modified cutters is still unknown. Therefore, this study focuses on the wear performance of the gear generated by modified cutter. Numerical results show that the wear resistance can be enhanced through proper cutter modification.

Crowned Spur Gears: Methods for Generation and Tooth Contact Analysis—Part I: Basic Concepts, Generation of the Pinion Tooth Surface by a Plane

1988 ◽  
Vol 110 (3) ◽  
pp. 337-342 ◽  
Author(s):  
F. L. Litvin ◽  
J. Zhang ◽  
R. F. Handschuh
Keyword(s):  
Gear Tooth ◽  
Contact Analysis ◽  
Numerical Results ◽  
Degree Of Freedom ◽  
Tooth Surface ◽  
Spur Gears ◽  
Tooth Contact Analysis ◽  
Tooth Contact ◽  
Transmission Errors ◽  
Basic Concepts

A topology of crowned spur pinion tooth surface that reduces the level of transmission errors due to misalignment is proposed. The geometry of the deviated pinion tooth surface and regular gear tooth surface, along with tooth contact analysis is discussed. Generation of the deviated pinion tooth surface by a plane whose motion is controlled by a five-degree-of-freedom system is proposed. Numerical results are included and indicate that transmission errors remain low as the gears are misaligned.

Corrigendum to: Optimum profile modifications of spur gears by means of genetic algorithms

2012 ◽  
Vol 331 (21) ◽  
pp. 4825-4829 ◽  
Author(s):  
Marco Barbieri ◽  
Giorgio Bonori ◽  
Francesco Pellicano
Keyword(s):  
Genetic Algorithms ◽  
Spur Gears ◽  
Optimum Profile

Development of a simulation method for the prediction of transmission errors of injection molded spur gears

2019 ◽  
Author(s):  
Dominik Schubert ◽  
Sebastian Hertle ◽  
Tobias Kleffel ◽  
Dietmar Drummer
Keyword(s):  
Simulation Method ◽  
Spur Gears ◽  
Transmission Errors ◽  
Injection Molded
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