Program Design for the 3K Planetary Gear Mechanism with more than Three Planet Gears

Abstract

This paper deals with the gear matching of 3K planetary gears, especially when the number of planetary wheels is more than three. The formulas of gearing ratio, concentricity condition, installation condition and adjacent condition are worked out. The concentric condition error and the adjacent condition error are set respectively in consideration of adjusting the concentricity under the condition of changing the modulus. When the error of the concentric condition is zero, the invariant bit or the height shift is indicated. When the concentric condition error is not zero, the negative shift or the positive displacement is adopted. Adjacency conditions can be given according to the designer’s experience. In addition, the maximum size limit is taken into account. By giving these constraints, a computer program can be used to rapidly solve the desired number of combinations of teeth. This paper presents a typical case of seven planets.