A study on load-sharing structure of multi-stage planetary transmission system

Unequal load distribution is a crucial factor in decreasing bearing capacity and stability of the planetary transmission system. In this paper, a dynamical model of two-stage helical planetary gear transmission system is established based on lumped-parameter method and Lagrange general function. Nonlinearity of gear tooth backlash and error is taken into account. Four load-sharing structures are proposed to study the load-sharing performance. A method to calculate dynamic sensitivity of load-sharing coefficient to errors is presented that can provide a reference to component precision determination in order to make planetary system have a better load distribution. Finally, a numerical method of load-sharing performance is validated by a test. These results provide fundamental basis for multi-stage planetary gear transmission system design.