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

TLDR

The authors developed a computational procedure that calculates static transmission errors and tooth load sharing for spur gears and applied an optimization algorithm to minimize selected harmonics of gear‑mesh frequency components by adjusting tip and root relief parameters, including starting point, magnitude, tooth selection, and relief shape (linear or parabolic). The study presents optimal profile modifications and demonstrates how off‑design loads, non‑optimal modifications, and random spacing errors influence the static transmission error performance.

Abstract

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.