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In this paper, a new study on the applications of the optimization and regression techniques for optimum determination of partial ratios of three-step helical gearboxes in order to get different objectives including the minimum gearbox length, the minimum gearbox cross section dimension and the minimum mass of gears is presented. From the moment equilibrium condition of a mechanic system which includes three gear units and their regular resistance condition, three optimization problems for getting the minimum gearbox length, the minimum gearbox cross section dimension and the minimum mass of gears were conducted. In addition, explicit models for the prediction of the partial ratios of the gearbox were given by using regression analysis technique. With these models, the calculation of the partial ratios becomes accurate and simple. Key-Words: Gearbox design; Optimum design; Helical gearbox; Transmission ratio.

Optimum Determination of Partial Transmission Ratios of Three-Step Helical Gearboxes for Getting Minimum Cross Section Dimension