A comparative analysis of the geometrical surface texture of a real and virtual model of a tooth flank of a cylindrical gear

TL;DR

This paper compares the geometrical surface textures of real and virtual cylindrical gear tooth flanks using modeling, simulation, and metrological measurements to evaluate the accuracy of digital models.

Contribution

It introduces a methodology for modeling gear tooth flanks in CAD and compares real and simulated surfaces using detailed metrological analysis.

Findings

Surface topography of real and virtual gear flanks show high correlation.

Simulation accurately replicates the surface geometry of real gear teeth.

Metrological measurements validate the modeling approach.

Abstract

The paper presents the methodology of modelling tooth flanks of cylindrical gears in the Cad environment. The modelling consists in a computer simulation of gear generation. A model of tooth flanks is an envelope curve of a family of envelopes that originate from the rolling motion of a solid tool model in relation to a solid model of the cylindrical gear. The surface stereometry and topography of the tooth flanks, hobbed and chiselled by Fellows method, are compared to their numerical models. Metrological measurements of the real gears were carried out using a coordinated measuring machine and a two - and a three-dimensional profilometer. A computer simulation of the gear generation was performed in the Mechanical Desktop environment.