Generation of Cycloid Spur Gear Using Standard Cartesian and Alternative Polar Coordinate Form


Aveen Ahmed Abdulkareem, Mohammad Qasim Abdullah


Mechanical Eng. Dept., College of Engineering, University of Baghdad.

Corresponding Author Email: av_mechanics@yahoo.com

This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Due to its important role in mechanical applications, gears become the core of continuous engineering efforts regarding the enhancement of their performance. the aim of this work is to model the cycloid spur gear teeth geometry and evaluate its their thickness. Starting from the simulation of the generation process, the Cartesian representation of the epicycloidal face and hypocycloidal flank is achieved as a set of profile points each has its position relative to the gear center. Depending on these equations tooth base thickness has been formulated in terms of the rolling angle, module, and teeth number. Another form has been derived based on the gear geometry that evaluates tooth profiles in terms of its radius, module, and teeth number dispensing the rolling angle which is the main drawback of the common models. The proposed model validity has been checked and compared with the common model and available works and showed a great conformity.