Dynamics Modeling of Planetary Gear Set Considering Meshing Stiffness Based on Bond Graph

Abstract

The aim of this article is to develop a valid and generalized dynamic model based on the bond graph theory for planetary gear set. In this regard, three sub-models are proposed: (a) carrier-planet sub-model, (b) ring-planet sub-model, (c) sun-planet sub-model. Taking account of meshing stiffness and torsional stiffness, the dynamic model of each sub-model is established. Consequently, the whole model is integrated following the bond graph modeling procedure, and the state space equation is deduced from the model. Subsequently, free torsional vibration analysis of a planetary gear set is carried out to demonstrate the application of the bond graph model in mode analysis. The results indicate that the model can not only predict the natural frequencies and the displacement mode shapes, but also obtain the generalized deformation mode shapes simultaneously.