Load sharing characteristics of multi-stage planetary gear train using analytical and finite element model

摘要

The dynamic load sharing characteristics of a two-stage planetary gear train are analysed using (a) a lumped-parameter analytical model and (b) a finite element model. Both models include time-varying mesh stiffness, several manufacturing errors and assembly variations. The varying step Gill numerical integration algorithm is used to solve Model (a), where lumped inertias represent gears, nonlinear springs with periodically varying stiffness represent gear meshes, and linear springs represent supports. Model (b) is developed from a finite element-contact analysis of gear dynamics and solved using dynamic explicit algorithm. Time-varying mesh stiffness excitation, tooth contact and loss are intrinsic to Model (b). All errors deemed as approximately equivalent to a comprehensive mesh error are also considered. Float system parameters, assembly variations, and manufacturing errors are identified to quantify their effects on dynamic load sharing factor. Results from the two models are compared qualitatively and quantitatively validating the effectiveness of the both.