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

Abstract

A study on the calculation of the optimum gear ratios of mechanical driven systems using a worm-helical gearbox and a chain drive was presented. To find the optimum gear ratios, an optimization problem in which the height of the system was selected as the objective function was conducted. Also, the influences of the input parameters including the total gear ratio of the system, the calculated 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 examined. To weigh the effect of these parameters on the optimum gear ratios, a simulation experiment was performed by computer programming. Additionally, equations to calculate the optimum gear ratios were introduced. Using these equations, the optimum gear ratios can be found easily and accurately because the equations are all in the explicit form.