Newtonian approach towards mathematical modelling and tuning of a continuously variable transmission

Abstract

Mathematical modelling of a Push-Belt Continuously Variable Transmission (CVT) has been done previously using energy-based methods. However, this paper presents a force based (Newtonian) approach as it eliminates the process of solving differential equations and hence, increases computational speed while eliminating the errors arising out of numerical solutions. The methodology for obtaining the engine rpm for optimum power is elucidated. An offset slider crank model has been used for conversion of rotary motion of flyweights to linear motion, in order to compress the pressure spring in the driving pulley. Mass of flyweights and stiffness values of pressure springs in driving and driven pulley are set as parameters which govern the constant engine rpm. The plot of engine rpm against vehicle speed is observed to be a saturating curve which gives the constant engine rpm obtained by CVT action. � 2019 IOP Publishing Ltd. All rights reserved.