Schematic Design of Planetary Gear Transmission for Automatic Transmission Based on Graph Theory

Abstract

The topological graph of planetary gear mechanism is established. Some topological graphs of two and three DOF planetary gear mechanism are synthesized. The procedures of isomorphism identification and rigid subchain detection are particularly presented. According to the transformation rules， topological graphs of planetary gear mechanism are converted into standard topological graphs and kinematic diagrams. Some transmission schemes of two planetary rows and three planetary rows are obtained.

Keywords

• Automatic transmission;Planetary gear mechanism;Schematic design;Isomorphism identification;Rigid subchain detection