Optimum Calculation of Partial Transmission Ratios of Mechanically Driven Systems Using a V-Belt and a Helical Gearbox with First-Step Double Gear Sets

Nguyen Khac Tuan 1 and Vu Ngoc Pi 2
1. Automotive and Power Machinery Faculty, Thai Nguyen University of Technology, Thai Nguyen, Vietnam
2. Mechanical Engineering Faculty, Thai Nguyen University of Technology, Thai Nguyen, Vietnam
Abstract—In this paper, we present a study on the optimum determination of partial transmission ratios of a mechanically driven system using a V-belt and a helical gearbox with second-step double gear sets in order to get the minimum size of the system. The chosen objective function was the cross-sectional dimension of the system. In the optimization problem, the design equation for the pitting resistance of a gear set was investigated. Besides, the equations of the moment equilibrium condition of a mechanical system including a V-belt and a helical gearbox with second-step double gear sets and their regular resistance condition were analyzed. Based on the results of this study, effective formulas for the calculation of the partial ratios of the V-belt and helical gearbox with second-step double gear sets were proposed. Using explicit models, the partial ratios can be easily and accurately determined.

Index Terms—transmission ratio, gearbox design, optimum design, V-belt drive, helical gearbox

Cite: Nguyen Khac Tuan and Vu Ngoc Pi, "Optimum Calculation of Partial Transmission Ratios of Mechanically Driven Systems Using a V-Belt and a Helical Gearbox with First-Step Double Gear Sets," International Journal of Mechanical Engineering and Robotics Research, Vol. 8, No. 2, pp. 323-326, March 2019. DOI: 10.18178/ijmerr.8.2.323-326

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