A Control-Oriented CVT Model With Nonzero Belt Mass

Abstract

A new model for the dynamics of the mechanical part of a belt CVT (Continuously Variable Transmission) is presented. The model takes into account the mass of the belt, assuming it to be uniformly distributed over its length. The model can therefore be used as a benchmark for FE models, which focus on every element of the belt or chain, as well as for much simpler models that neglect the belt mass or imply significant simplifications in the respective kinematics. Although a nonholonomic system has to be investigated, the result is surprisingly simple, i.e., an algebraic solution is provided that is not much more complicated than the solutions derived with more stringent assumptions. The equations of motion derived here are especially suitable for use in control applications.