Dynamic Modeling of the Milner Continuously Variable Transmission—The Basic Kinematics

Abstract

In the Milner continuously variable transmission altering the axial separation between two moveable halves of the outer race set allows the radial position of the planet balls to vary, along with the contact positions on the inner and outer races and, hence, the transmission ratio changes. An inelastic analytical model implemented in SIMULINK is presented which allows the component positions, speeds, forces, and torques to be calculated. Use of a free body approach for individual components allows both individual and coupled component motions to be studied. Examples of the steady-state results and experimental verification are presented. Use of the model for dynamic investigations and to improve future versions of the transmission is discussed.