Multi-Objective Optimization of a Two-Stage Helical Gearbox Using Taguchi Method and Grey Relational Analysis

Abstract

This paper presents a novel approach to solve the multi-objective optimization problem designing a two-stage helical gearbox by applying the Taguchi method and the grey relation analysis (GRA). The objective of the study is to identify the optimal main design factors that maximize the gearbox efficiency and minimize the gearbox mass. To achieve that, five main design factors. including the coefficients of wheel face width (CWFW) of the first and the second stages, the allowable contact stresses (ACS) of the first and the second stages, and the gear ratio of the first stage were chosen. Additionally, two single objectives, including the maximum gearbox efficiency and minimum gearbox mass, were analyzed. In addition, the multi-objective optimization problem is solved through two phases: Phase 1 solves the single-objective optimization problem in order to close the gap between variable levels, and phase 2 solves the multi-objective optimization problem to determine the optimal main design factors. From the results of the study, optimum values of five main design parameters for designing a two-stage helical gearbox were first introduced.

Application of a Multi-Criterion Decision-Making Method for Solving the Multi-Objective Optimization of a Two-Stage Helical Gearbox

“…where X is the vector that represents the design variables. A two-stage helical gearbox has five main design parameters: u 1 , X ba1 , X ba2 , AS 1 , and AS 2 [10]. Moreover, it has been demonstrated that the maximum values of AS 1 and AS 2 match their ideal values [10].…”

“…A two-stage helical gearbox has five main design parameters: u 1 , X ba1 , X ba2 , AS 1 , and AS 2 [10]. Moreover, it has been demonstrated that the maximum values of AS 1 and AS 2 match their ideal values [10]. Consequently, u 1 , X ba1 , and X ba2 -the three main design factors-have been selected as variables for the optimization issue in this work.…”

“…Le and N.P. Vu [10] explored the multi-objective optimization problem of designing a two-stage helical gearbox using the Taguchi technique and grey relation analysis (GRA). Finding the optimal primary design parameters that maximize gearbox efficiency while minimizing gearbox mass was the goal of their study.…”

Insitu synthesis of Al– MgAl2O4 composites and parametric optimization of tribological characteristics

“…Findings proposed speed having major impact on wear consequence rather than load and reinforcement addition. Le and Vu [ 20 ] utilized a multi-objective optimization technique to maximize gearbox efficiency and minimize its mass of a two-stage helical gear box by identifying different design factors. Taguchi method and grey relation analysis is used to identify that gear box ratio of first stage has a major influence on minimizing gearbox ratio and maximising the efficiency of gearbox.…”

Multi-Objective Optimization of a Two-Stage Helical Gearbox with Second Stage Double Gear-Sets Using TOPSIS Method

“…Le and N.P. Vu [15] to investigate the MOOP of building a two-stage helical gearbox. The aim of this study was to determine the ideal fundamental design parameters that enhance gearbox efficiency while decreasing gearbox mass.…”