Design and Volume Optimization of High-Speed Helical Gear Pair by using Cohort Intelligence Algorithm

 

Design and Volume Optimization of High-Speed Helical Gear Pair by using Cohort Intelligence Algorithm

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© 2023 by IJETT Journal
Volume-71 Issue-11
Year of Publication : 2023
Author : Pratik Patil, Shailendra Shisode, Omkar Kulkarni
DOI : 10.14445/22315381/IJETT-V71I11P226

How to Cite?

Pratik Patil, Shailendra Shisode, Omkar Kulkarni, "Design and Volume Optimization of High-Speed Helical Gear Pair by using Cohort Intelligence Algorithm," International Journal of Engineering Trends and Technology, vol. 71, no. 11, pp. 247-256, 2023. Crossref, https://doi.org/10.14445/22315381/IJETT-V71I11P226

Abstract
Gears are the most fundamental unit for mechanical power transmission and play an important role in industrial applications. High-speed gearboxes are widely used in different applications, such as steam and gas turbines, pumps, compressors, etc. In this case study, a high-speed gearbox with a helical gear pair is considered using the DIN and AGMA standards, along with design factors including the face width, number of teeth on the pinion and gear, module, and helix angle. The DIN and AGMA standards are used to calculate the various gear geometry parameters, such as size and strength. A multivariable and constrained optimization problem is presented with a derived objective function. The volume minimization is performed using the cohort intelligence algorithm in MATLAB, and the results obtained are found to be satisfactory. Cohort intelligence is a modern technique that is applied for the optimization of different mechanical parts, systems, and processes. An optimized set of parameters models a helical gear pair in CAD software. The optimized design is then validated using FEA software, which shows that the stress value in the gear pair is below the allowable stress limit for the given material.

Keywords
Helical gear pair, Nature-inspired optimization algorithm, Cohort Intelligence Algorithm (CI), Genetic Algorithm (GA), Particle Swarm Optimization (PSO), and FEA.

References
[1] American Gear Manufacturers Association, Specification for High Speed Helical Gear Units, ANSI/AGMA 6011 J14, 2014. [Online]. Available: https://webstore.ansi.org/preview-pages/AGMA/preview_ANSI+AGMA+6011-J14.pdf
[2] American Gear Manufacturers Association, Fundamental Rating Factors and Calculation Methods for Involute Spur and Helical Gear Teeth, ANSI/AGMA 2101–D04, 2005. [Online]. Available: https://wp.kntu.ac.ir/asgari/AGMA%202001-D04.pdf
[3] American Gear Manufacturers Association, Geometry Factors for Determining the Pitting Resistance and Bending Strength of Spur, Helical and Herringbone Gear Teeth, AGMA 908– B89, 1999. [Online]. Available: https://webstore.ansi.org/standards/agma/agma908b89
[4] DIN 3960: 1987-03, Definitions, Parameters and Equations for Involute Cylindrical Gears and Gear Pairs, Deutsches Institut fur Normung (German Institute for Standardization), 1987. [Online]. Available: https://infostore.saiglobal.com/en-au/standards/din-3960-1987-03- 450392_saig_din_din_1015562/
[5] Kalyanmoy Deb, “An Efficient Constraint Handling Method for Genetic Algorithms,” Computer Methods in Applied Mechanics and Engineering, vol. 186, no. 2-4, pp. 311–338, 2000.
[CrossRef] [Google Scholar] [Publisher Link]
[6] Tapabrata Ray, Tai Kang, and Kin Chye Seow, “Multiobjective Design Optimization by an Evolutionary Algorithm,” Engineering Optimization, vol. 33, no. 4, pp. 399–424, 2001.
[CrossRef] [Google Scholar] [Publisher Link]
[7] J. Kennedy, and R. Eberhart, “Particle Swarm Optimization,” Proceedings of ICNN'95 - International Conference on Neural Networks, pp. 1942–1948, 1995.
[CrossRef] [Google Scholar] [Publisher Link]
[8] Marco Dorigo, Mauro Birattari, and Thomas Stutzle, “Ant Colony Optimization,” IEEE Computational Intelligence Magazine, vol. 1, no. 4, pp. 28–39, 2006.
[CrossRef] [Google Scholar] [Publisher Link]
[9] D.T. Pham et al., “The Bee’s Algorithm - A Novel Tool for Complex Optimisation Problems,” Intelligent Production Machines and Systems, 2nd I*PROMS Virtual International Conference, pp. 454-459, 2006.
[CrossRef] [Google Scholar] [Publisher Link]
[10] Anand J. Kulkarni, Ishan P. Durugkar, and Mrinal Kumar, “Cohort Intelligence: A Self-Supervised Learning Behavior,” 2013 IEEE Conference on Systems, Man and Cybernetics, pp. 1396–1400, 2013.
[CrossRef] [Google Scholar] [Publisher Link]
[11] Anand Jayant Kulkarni, Ganesh Krishnasamy, and Ajith Abraham, Cohort Intelligence: A Socio-inspired Optimization Method, Intelligent Systems Reference Library, Springer Nature, vol. 114, 2017.
[Google Scholar] [Publisher Link]
[12] Anand J. Kulkarni, M.F. Baki, and Ben A. Chaouch, “Application of the Cohort-Intelligence Optimization Method to Three Selected Combinatorial Optimization Problems,” European Journal of Operational Research, vol. 250, no. 2, pp. 427-447, 2016.
[CrossRef] [Google Scholar] [Publisher Link]
[13] Apoorva S. Shastri et al., “Solution to Constrained Test Problems Using Cohort Intelligence Algorithm,” Innovations in Bio Inspired Computing and Applications, pp. 427-435, 2015.
[CrossRef] [Google Scholar] [Publisher Link]
[14] Santosh S. Patil et al., “Contact Stress Analysis of Helical Gear Pairs Including Frictional Coefficients,” International Journal of Mechanical Sciences, vol. 85, pp. 205-211, 2014.
[CrossRef] [Google Scholar] [Publisher Link]
[15] Anand Kumar Gaurav, and R.K. Ambikesh, “Weight Optimization of Helical gear pair Using FEA on Ansys,” Journal of Material Science and Mechanical Engineering (JMSME), vol. 6, no. 3, pp. 163-168, 2019.
[Publisher Link]
[16] Linhong Xu, Leiming, and Li Yin Liu, “Stress Analysis and Optimization of Gear Teeth,” 2009 International Conference on Measuring Technology and Mechatronics Automation, pp. 895-898, 2009.
[CrossRef] [Google Scholar] [Publisher Link]
[17] Ketan Tamboli et al., “Optimal Design of a Heavy Duty Helical Gear Pair Using Particle Swarm Optimization Technique,” Procedia Technology, vol. 14, pp. 513-519, 2014.
[CrossRef] [Google Scholar] [Publisher Link]
[18] Maruti Patil, Penchaliah Ramkumar, and Shankar Krishnapillai, “Multi Objective Optimization of Two Stage Spur Gearbox Using NAGA-II,” International Conference on Advances in Design, Materials, Manufacturing and Surface Engineering for Mobility, SAE Technical Paper, 2017.
[CrossRef] [Google Scholar] [Publisher Link]
[19] Chetan M. Patil, and Ajay D. Pingale, “Measurement of Gear Stiffness of Healthy and Cracked Spur Gear by Strain Gauge Technique,” SSRG International Journal of Mechanical Engineering, vol. 5, no. 7, pp. 9-15, 2018.
[CrossRef] [Google Scholar] [Publisher Link]
[20] Takao Yokota, Takeaki Taguchi, and Mitsuo Gen, “A Solution Method for Optimal Weight Design Problem of the Gear Using Genetic Algorithms,” Computers & Industrial Engineering, vol. 35, no. 3-4, pp. 523–526, 1998.
[CrossRef] [Google Scholar] [Publisher Link]
[21] Long He et al., “Optimal Design of Two Stage Helical Gear Reducer Based on MATLAB,” 2011 IEEE 2nd International Conference on Computing, Control and Industrial Engineering, vol. 2, pp. 102-105, 2011.
[CrossRef] [Google Scholar] [Publisher Link]
[22] S. Padmanabhan et al., “Gear Pair Design Optimization by Genetic Algorithm and FEA,” Frontiers in Automobile and Mechanical Engineering (FAME), IEEE, pp. 301-307, 2010.
[CrossRef] [Google Scholar] [Publisher Link]