Calculating Optimum Gear Ratios of Mechanical Driven Systems Using Three Step Bevel Helical Gearbox and Chain Drive for Minimum System Height

The current study is aimed at determining optimum gear ratios of mechanical driven systems using a three-step bevel helical gearbox and a chain drive. An optimization problem with the objective function as the minimum gearbox height was constructed. Six input parameters including the total system ratio, the face width coefficients of the bevel and the helical gear sets, the allowable contact stress and the output torque were discussed, and their effects on the optimum gear ratios were considered through the implementation of a simulation experiment. The findings revealed, the evaluation of the factor influences, moreover, the proposed equations indicated that the optimum gear ratios can be obtained with high precision.