Load Tooth Contact Analysis of Composite Cycloidal Planetary Transmission with Small Tooth Difference

Based on the profile equation of composite cycloidal tooth, the coordinate system of the contact analysis model of composite cycloidal gear teeth is established. Depending on the conjugate contact conditions of gears, the vector equation of tooth contact analysis (TCA) is created. The backlash and transmission error of the composite cycloidal planetary gear pair with small tooth difference (Abbreviated as composite cycloidal gear pair) after modification are calculated by solving the equation. The loaded tooth contact analysis (LTCA) model of the composite cycloid is built using Hertzian contact theory, a moment balancing equation, and deformation compatibility condition. The composite cycloidal transmission error and contact force in the load tooth contact analysis mode are solved. The distribution of contact force under different crank shaft angles and the sensitivity of bearing transmission error and contact force to tooth profile adjustment coefficient are analyzed with examples. The results show that the transmission accuracy of composite cycloid gears under load conditions is within 1 arcmin, which meets the requirements for precision transmission performance.