Modelling and Simulation of Passive Limited-slip Differentials

摘要

This work starts with the derivation of dynamical models for bevel gear and epicyclic limited-slip differentials. These models include losses and the capability of describing asymmetric torque splitting. It is shown that two different mechanical structures lead to a common system description. Additionally, the stationary torque splitting depending on the system parameters is determined. As Coulomb friction is used to consider both losses and limited-slip functionality simulation is difficult because of a discontinuity at zero angular velocity. A method for overcoming these simulation problems, based on force-balancing, is presented. Simulation studies using the proposed simulation strategy show striking similarities with measurement data from a differential gear test bed.