A Novel Method of Obtaining Honing Tool Profile for Machining Gears With Profile Modifications

Abstract

In this study, a mathematical model of the honing process for helical gears with external teeth was developed. The proposed novel method of obtaining the two-parameter envelope of a family of surfaces proved useful in simulated machining by means of a tool with a profile deviation. Based on performed simulations and industrial applications, it was found that this method can be useful in predicting the accuracy of machined gear and therefore can be used in the design process of honing tool for high precision aerospace gears. For the example provided, the average absolute prediction error of machined tooth profile was 0.28 µm.

Tooth Contact Analysis of Cylindrical Gears with an Unconventional Tooth Profile

“…where: r b1 , r b2 are base radii of, respectively, the pinion and the gear, t 1 , t 2 are gear and pinion tooth profi le parameters (rolling angles), ζ 1 , ζ 2 are the parameters of the helical line of the pinion and the gear, β is the inclination angle of the fl ank pitch line on the pitch cylinder, r 1 and r 2 are the pitch radii of, respectively, the pinion and the gear [23].…”

A Numerical Approach for Analysing the Moving Sofa Problem

“…For this purpose, the method for obtaining the shape of the moving sofa is proposed. The method is based on discrete solutions to the equations, stating necessary conditions of the existence of envelopes [14][15][16].…”