Optimal determination of partial ratios of three-step helical gearboxes with first and third step double gear-sets for getting minimal gearbox length

摘要

This paper introduces a new study on the applications of optimization and regression analysis techniques for optimal determination of partial ratios of three-step helical gearboxes with first and third step double gear-sets for getting minimal gearbox length. In the study, from the condition of the moment equilibrium of a mechanic system including gear units and their regular resistance condition, an optimization program for determining the partial ratios of the gearboxes are performed. From the results of the optimization program, explicit models for determining the partial ratios are found by using regression analysis technique. Using these models, the prediction of the partial ratios of the gearboxes is accurate and simple.