With the rapid development of automobile industry, the performance requirements of gear transmission system are higher and higher. In order to improve the quality and reliability of gear transmission products, reduce the manufacturing cost of the whole vehicle and ensure the high-speed operation of the engine, it is necessary to carry out reasonable design, calculation and selection. In this paper, the gear transmission system is taken as the research object, the pure torsional vibration theory is studied, and the simulation analysis is carried out by MATLAB. The simulation results show that the automotive gear transmission based on the pure torsion model performs very well in the dynamic meshing force and the error is very small. This shows that the model can reduce the degree of gear wear.