Algorithm for synthesis of plane gears according to the constant curvature criterion

Abstract

This paper presents an algorithm for synthesizing plane gears based on the constant curvature criterion. The derived formulas for pinion gears can be applied in various mechanisms, including clockwork mechanisms, gun turret aiming systems, lifting and transport mechanisms, and planetary gearboxes with tracked propellers. These formulas enable effective analysis of transmission operation and optimal value selection, leading to more rational design and increased efficiency of the entire mechanism. Internal gearing technology allows for significant reductions in drive dimensions and metal consumption compared to traditional involute gears. Improving the technical characteristics of mechanical drives can be achieved by optimizing pinion gear design. This study focuses on the analysis of pinion gears, which reduce profile slippage and transmission wear, resulting in increased efficiency and convenience of operation. Additionally, pinion gears are technologically advanced and reliable. This work develops a mathematical model of a pinion transmission as a flat gearing with a constant gear ratio, providing a foundation for further research and practical applications.