Analysis of Power-Split for the Transmission System Based on Deformation Compatibility

In this study, the mechanical structural model of helical gear tri-branching transmission system has been established to analyze the power-split characteristics. For the purpose of calculating power-split value, a simplified algorithm is developed through formulating the deformation compatibility condition and the torque equilibrium condition. Under the elastic support, the static equilibrium equations should be built to calculate the power-split under different conditions based on the projection of installation error and elastic deformation on the line of action as described. A numerical example was provided to illustrate the developed theory. The research results herein would be done to improve the applicability of tri-branching transmission.