A novel method for modeling and kinematic analysis of transmissions

Planetary gearsets play an important role in the transmission system. The kinematic analysis of transmissions seems to be particularly important. In this paper, a novel and simplified method based on matrix is put forward. By deriving the velocity constraint equations, the equations for speeds, torques, and accelerations are solved in the expression of matrix. This method greatly simplifies the modeling method of transmissions in the vehicles, and can be further used in the dynamic simulation.