Multi-objective optimization of a two-stage helical gearbox with double gears in second stage using saw technique to reduce bottom area and enhance efficiency

Authors

DOI:

https://doi.org/10.15587/1729-4061.2025.322992

Keywords:

SAW method, MEREC method, helical gearbox, gear ratio, gearbox efficiency, gearbox bottom area, MCDM, MOOP

Abstract

Two-stage helical gearboxes featuring two gears in the second stage are widely used across various industries. This gearbox design helps enhanced load capacity, increases consistent force distribution, and minimizes operational noise. One significant challenge in the design of this type of gearbox is the simultaneous optimization of multiple design criteria, including transmission efficiency and overall size. Optimizing gearbox design involves more than selecting an appropriate gear configuration; it necessitates a complete approach that balances performance with size, ensures sustainable operation, and minimizes manufacturing costs. This study was conducted to develop a method for solving the multi-objective optimization problem (MOOP) related to the design of a two-stage helical gearbox (TSHG) containing double gears in the second stage (DGSS). The primary focus is on two single-objective functions: maximizing gearbox efficiency and minimizing the gearbox bottom area. This study investigates three primary design parameters: the gear ratio of the first stage (u1), the gear width coefficient of the first stage (Xba1), and second stage (Xba2). The optimization process was carried out in two distinct stages. The initial phase focused on the single-objective optimization problem aimed at minimizing the gap among the variable levels. The second stage concentrated on dealing with the MOOP to identify the optimal design parameters. The Simple Additive Weighting (SAW) method was employed to solve the multi-criteria decision-making (MCDM) problem, while the MEREC technique was utilized to establish the weights of the criteria. The implementation of SAW in this context introduces a novel methodology that streamlines the identification of the optimal solution while enhancing the precision of the outcomes. Moreover, addressing the MOOP problem in a two-stage approach reduces the solution process and enhances the precision of the outcomes. The proposed optimized values of the primary design parameters aim to enhance gearbox efficiency and maximize installation space, thereby facilitating potential applications across diverse industries

Author Biographies

Binh Duc Vu, Viet Tri University of Industry

PhD

Faculty of Mechanical Engineering

Hung Quoc Tran, Hanoi University of Industry

PhD

Faculty of Mechanical Engineering

Thanh Van Dinh, East Asia University of Technology

PhD

Department of Electronics and Electrical

Trang Van Nguyen, Thai Nguyen University of Technology

PhD

Faculty of Mechanical Engineering

Minh Khac Nguyen, Thai Nguyen University of Technology

PhD

Faculty of Mechanical Engineering

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Multi-objective optimization of a two-stage helical gearbox with double gears in second stage using saw technique to reduce bottom area and enhance efficiency

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Published

2025-02-24

How to Cite

Vu, B. D., Tran, H. Q., Dinh, T. V., Nguyen, T. V., & Nguyen, M. K. (2025). Multi-objective optimization of a two-stage helical gearbox with double gears in second stage using saw technique to reduce bottom area and enhance efficiency. Eastern-European Journal of Enterprise Technologies, 1(4 (133), 72–80. https://doi.org/10.15587/1729-4061.2025.322992

Issue

Vol. 1 No. 4 (133) (2025): Mathematics and Cybernetics - applied aspects

Section

Mathematics and Cybernetics - applied aspects

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Copyright (c) 2025 Binh Duc Vu, Hung Quoc Tran, Thanh Van Dinh, Trang Van Nguyen, Minh Khac Nguyen

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