Multi-Objective Optimization of a Two-Stage Helical Gearbox Using Taguchi Method and Grey Relational Analysis
Source abstract
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.
Source: crossref · Quality: baseline
Research context
OpenAlex topics: Gear and Bearing Dynamics Analysis · Mechanical Engineering and Vibrations Research · Manufacturing Process and Optimization
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Faculty of Mechanical Engineering, Thai Nguyen University of Technology, 3/2 Street, Tich Luong Ward, Thai Nguyen City 251750, Vietnam
References (26)
Show source-provided references
1. Multi-objective optimization of the two-stage helical gearbox with tribological constraints10.1016/j.mechmachtheory.2019.03.037 ↗
2. Gezielte Auslegung Von Zahnradgetrieben mit minimaler Masse auf der Basis neuer Berechnungsverfahren
3. Optimal design of two step gear units, regarding the main parameters
4. Pi, V.N. (2008, January 24–26). Optimal calculation of partial transmission ratios for four-step helical gearboxes with first and third step double gear-sets for minimal gearbox length. Proceedings of the American Conference on Applied Mathematics, Cambridge MA, USA.
5. Pi, V.N. (2008, January 25–27). A new study on optimal calculation of partial transmission ratios of two-step helical gearboxes. Proceedings of the 2nd WSEAS International Conference on Computer Engineering and Applications, CEA, Acapulco, Mexico.
6. A new study on the optimal prediction of partial transmission ratios of three-step helical gearboxes with second-step double gear-sets
7. Danh, T.H., Linh, N.H., Danh, B.T., Tan, T.M., Van Trang, N., Thao, T.T.P., and Cuong, N.M. (2022, January 1–2). Effect of Main Design Factors on Two-Stage Helical Gearbox Length. Proceedings of the Advances in Engineering Research and Application: Proceedings of the International Conference on Engineering Research and Applications, ICERA, Thai Nguyen, Vietnam.10.1007/978-3-031-22200-9_98 ↗
8. Pi, V.N. (2008, January 1). Optimal Calculation of Partial Transmission Ratios of Four-step Helical Gearboxes for Getting Minimal Cross Section Dimension. Proceedings of the International MultiConference of Engineers and Computer Scientists, Hong Kong, China.
9. A study on optimal determination of partial transmission ratios of helical gearboxes with second-step double gear-sets
10. Khai, D.Q., Danh, T.H., Danh, B.T., Tan, T.M., Cuong, N.M., Hung, L.X., Pi, V.N., and Thao, T.T.P. (2022, January 1–2). Determination of Optimum Main Design Parameters of a Two-Stage Helical Gearbox for Minimum Gearbox Cross-Section Area. Proceedings of the Advances in Engineering Research and Application: Proceedings of the International Conference on Engineering Research and Applications, ICERA, Thai Nguyen, Vietnam.10.1007/978-3-031-22200-9_37 ↗
11. Pi, V.N. (2008, January 27–30). Optimal determination of partial transmission ratios for four-step helical gearboxes with first and third step double gear-sets for minimal mass of gears. Proceedings of the WSEAS International Conference on Applied Computing Conference, Istanbul Turkey.
12. Danh, T.H., Huy, T.Q., Danh, B.T., Van Trang, N., and Hung, L.X. (2022, January 1–2). Optimization of Main Design Parameters for a Two-Stage Helical Gearbox Based on Gearbox Volume Function. Proceedings of the Advances in Engineering Research and Application: Proceedings of the International Conference on Engineering Research and Applications, ICERA, Thai Nguyen, Vietnam.10.1007/978-3-031-22200-9_81 ↗
13. Vu, N.-P., Nguyen, D.-N., Luu, A.-T., Tran, N.-G., Tran, T.-H., Nguyen, V.-C., Bui, T.-D., and Nguyen, H.-L. (2020). The influence of main design parameters on the overall cost of a gearbox. Appl. Sci., 10.10.3390/app10072365 ↗
14. Quang, N.H., Tu, N.T., Linh, N.H., Luan, N.H., Anh, L.H., Tuan, N.A., Giang, T.N., and Pi, V.N. (2021, January 1–2). Determining Optimum Gear Ratios for a Four-Stage Helical Gearbox for Getting Minimum Gearbox Cost. Proceedings of the Advances in Engineering Research and Application: Proceedings of the International Conference on Engineering Research and Applications, ICERA, Thai Nguyen, Vietnam.10.1007/978-3-030-92574-1_36 ↗
15. Danh, T.H., Huy, T.Q., Danh, B.T., Tan, T.M., Van Trang, N., and Tung, L.A. (2022, January 1–2). Determining Partial Gear Ratios of a Two-Stage Helical Gearbox with First Stage Double Gear Sets for Minimizing Total Gearbox Cost. Proceedings of the Advances in Engineering Research and Application: Proceedings of the International Conference on Engineering Research and Applications, ICERA, Thai Nguyen, Vietnam.10.1007/978-3-031-22200-9_41 ↗
16. Anh, L.H., Linh, N.H., Quang, N.H., Duc Lam, P., Anh Tuan, N., Khac Tuan, N., Thi Thanh Nga, N., and Ngoc Pi, V. (2021). Cost optimization of two-stage helical gearboxes with second stage double gear-sets. EUREKA Phys. Eng., 89–101.10.21303/2461-4262.2021.001855 ↗
17. Transmission and load analysis for a crowned helical gear pair with twist-free tooth flanks generated by an external gear honing machine10.1016/j.mechmachtheory.2015.11.014 ↗
18. A genetic approach to automate preliminary design of gear drives10.1016/j.cie.2009.04.006 ↗
19. Tradeoff analysis in minimum volume design of multi-stage spur gear reduction units10.1016/S0094-114X(99)00036-1 ↗
20. Multi-objective optimization of a 2-stage spur gearbox using NSGA-II and decision-making methods10.1007/s40430-020-02557-2 ↗
21. Multi-objective optimization of two-stage helical gear train using NSGA-II
22. Multi-objective optimization of the tooth surface in helical gears using design of experiment and the response surface method10.1007/s12206-010-0117-x ↗
23. Chat, T., and Van Uyen, L. (2007). Design and Calculation of Mechanical Transmissions Systems, Educational Republishing House.
24. (2023, May 24). SKF Group, Roller Bearings. Available online: https://www.skf.com/binaries/pub12/Images/0901d196802809de-Rolling-bearings---17000_1-EN_tcm_12-121486.pdf.
25. Jelaska, D.T. (2012). Gears and Gear Drives, John Wiley & Sons.10.1002/9781118392393 ↗
26. Buckingham, E. (1988). Analytical Mechanics of Gears, Dover Publications, Inc.