Determining Optimal Transmission Ratios of Worm Helical Gearbox for Minimum Gearbox Cost

The gear ratio is one of the most critical parameters in a gearbox. It is directly related to many other technology parameters. Therefore, the object to be optimized in the gearbox design is often the gear ratio. This paper presents a calculation method to optimize the gear ratio u2 of a worm helical gearbox according the minimum gearbox’s cost objective function. In this study, a simulation experiment was conducted to learn the effect of the main design parameters on the objective function. Also, the influence of the design factors on the optimum gear ratio u2. Moreover, suitable regression models for the calculation of optimum gear ratios were proposed.