Free vibration model and characteristics of planetary gear sets

Planetary gear sets have advantages of little noise, high transmission ratio, compact arrangement, so it has been widely applied in automobile and aerospace applications over the years. Using Lagrange equation, a free vibration theoretical model of a single planetary gear set was built, which was solved with modal superposition method. Combined with theoretical results, two types of modeling methods of planetary gear structures with the simulation platform SimulationX were studied. The simulation model suitable for analyzing vibration characteristic of planetary gear sets and inherent vibration characteristic in different situation were studied with the optimal modeling method. Important influencing factors of planetary gear sets vibration characteristic were studied and reference for dynamic best designing planetary gear transmission sets were provided.