Dynamic Analysis of Multi-Mesh Helical Gear Sets by Finite Elements

A dynamic model of a multi-shaft helical gear reduction unit is proposed in this study. The model consists of a finite element model of shaft structures combined with a three-dimensional discrete model of helical gear pairs. Both counter-shaft reduction and idler configurations are included in the model. Bearing and housing flexibilities are included in the model as well. Free and forced vibrations were studied to quantify the influence of a number of system parameters including, shaft position angles, shaft dimensions, bearing types and locations, and gear mesh phasing relationships. A limited parametric study is performed to demonstrate the sensitivity of the model to certain system parameters.