Calculating Optimum Gear Ratios of Mechanical Driven Systems Using Worm-Helical Gearbox and Chain Drive

摘要

This paper presents a study on the determination of the optimum gear ratios of mechanical driven systems using a worm-helical gearbox and a chain drive. In the study, an optimization problem was performed to find the optimum gear ratios. In addition, the length of the mechanical system was selected as the objective function of the optimization problem. The effects of the input factors including the total transmission ratio of the system, the calculation coefficient of the worm diameter coefficient, the coefficient of wheel face width and the allowable contact stress of helical gear unit, and the output torque were investigated. To evaluate the influences of these factors on the optimum gear ratios, a simulation experiment was designed and conducted by computer programs. Significantly, several models to determine the optimum gear ratios were proposed. Using these models, the determination of optimum gear ratios is accurate and simple.