Multi-Objective Optimization of a Two-Stage Helical Gearbox Using Taguchi Method and Grey Relational Analysis
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 effici...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2023-06-01
|
| Series: | Applied Sciences |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2076-3417/13/13/7601 |
| _version_ | 1797592137405038592 |
|---|---|
| author | Xuan-Hung Le Ngoc-Pi Vu |
| author_facet | Xuan-Hung Le Ngoc-Pi Vu |
| author_sort | Xuan-Hung Le |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-11T01:47:12Z |
| format | Article |
| id | doaj.art-8a38a79a2a234f9d812a76143b85d1b9 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-11T01:47:12Z |
| publishDate | 2023-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-8a38a79a2a234f9d812a76143b85d1b92023-11-18T16:08:46ZengMDPI AGApplied Sciences2076-34172023-06-011313760110.3390/app13137601Multi-Objective Optimization of a Two-Stage Helical Gearbox Using Taguchi Method and Grey Relational AnalysisXuan-Hung Le0Ngoc-Pi Vu1Faculty of Mechanical Engineering, Thai Nguyen University of Technology, 3/2 Street, Tich Luong Ward, Thai Nguyen City 251750, VietnamFaculty of Mechanical Engineering, Thai Nguyen University of Technology, 3/2 Street, Tich Luong Ward, Thai Nguyen City 251750, VietnamThis 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.https://www.mdpi.com/2076-3417/13/13/7601gearboxmulti-objective optimizationgear ratiotwo-stage helical gearbox |
| spellingShingle | Xuan-Hung Le Ngoc-Pi Vu Multi-Objective Optimization of a Two-Stage Helical Gearbox Using Taguchi Method and Grey Relational Analysis Applied Sciences gearbox multi-objective optimization gear ratio two-stage helical gearbox |
| title | Multi-Objective Optimization of a Two-Stage Helical Gearbox Using Taguchi Method and Grey Relational Analysis |
| title_full | Multi-Objective Optimization of a Two-Stage Helical Gearbox Using Taguchi Method and Grey Relational Analysis |
| title_fullStr | Multi-Objective Optimization of a Two-Stage Helical Gearbox Using Taguchi Method and Grey Relational Analysis |
| title_full_unstemmed | Multi-Objective Optimization of a Two-Stage Helical Gearbox Using Taguchi Method and Grey Relational Analysis |
| title_short | Multi-Objective Optimization of a Two-Stage Helical Gearbox Using Taguchi Method and Grey Relational Analysis |
| title_sort | multi objective optimization of a two stage helical gearbox using taguchi method and grey relational analysis |
| topic | gearbox multi-objective optimization gear ratio two-stage helical gearbox |
| url | https://www.mdpi.com/2076-3417/13/13/7601 |
| work_keys_str_mv | AT xuanhungle multiobjectiveoptimizationofatwostagehelicalgearboxusingtaguchimethodandgreyrelationalanalysis AT ngocpivu multiobjectiveoptimizationofatwostagehelicalgearboxusingtaguchimethodandgreyrelationalanalysis |