A mathematical overview and some applications of gear design
Elisabetta A. Matsumoto, Henry Segerman

TL;DR
This paper provides a mathematical overview of involute gear geometry, explores various gear variants, and discusses applications including 3D printed mechanisms, bridging theoretical concepts with practical examples.
Contribution
It offers a mathematical perspective on gear design and presents novel applications through 3D printed mechanisms, expanding understanding beyond traditional engineering approaches.
Findings
Detailed geometric analysis of involute gears
Catalog of gear variants and mechanisms
Demonstration of 3D printed gear applications
Abstract
In this paper we give a brief overview of the geometry of involute gears, from a mathematical more than an engineering perspective. We also list some of the many variant geared mechanisms and discuss some of our 3D printed mechanisms.
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Taxonomy
TopicsRobotic Mechanisms and Dynamics · Gear and Bearing Dynamics Analysis · Advanced Numerical Analysis Techniques
