A study on calculation of optimum gear ratios for three stage bevel helical gearboxes

This paper introduces a study on the calculation of optimum gear ratios of a three stage bevel helical gearbox. In this study, to find the optimum gear ratios, an optimization problem was performed. In the optimization problem, the gearbox length was chosen as the objective function. In addition, the effects of input parameters including the total gearbox ratio, the face width coefficients of the bevel and the helical gear sets, the allowable contact stress and the output torque were investigated. To evaluate the influence of these factors on the optimum gear ratios, a simulation experiment was designed and conducted by a computer program. Based on the results of the study, the influences of the input parameters on the optimum gear ratios were evaluated and models for calculation of the optimum gear ratios were found.