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Genetic Algorithm Design Optimization for Non-standard Spur Gears

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Digital Technologies and Applications (ICDTA 2021)

Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 211))

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Abstract

Spur gear design is one of the understood subjects that can not be treated by limited classical methods. For this reason, an optimization process by the genetic algorithm was conducted in order to minimize the structure volume. Mechanical problems such as gear designs present many variables to analyze and several constraints to respect. In order to gain in terms of weight cost and transmission, Genetic Algorithms are used to improve the design process of the gearbox and find the optimum gear parameters. In this paper, the influence of the profile shift factor on one spur gear volume and clearance volume is studied including the bottom clearance volume equation in the fitness function. The optimal results of the model with corrected pinion and gear are compared with the standard spur gear model without a profile shift factor in bottom clearance equation volume or structure equation volume.

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References

  1. Bensghaier A, Romdhane L, Benouezdou F (2012) Multi-objective optimization to predict muscle tensions in a pinch function using genetic algorithm. CR Mec 340:139–155

    Article  Google Scholar 

  2. Back T (1966) Evolutionary Algorithms in Theory and Practice: Evolution Strategies, Evolutionary Programming, Genetic Algorithms. Oxford University Press, Oxford (1966)

    Google Scholar 

  3. De Jong KA (1992) Are genetic algorithms function optimizers? Elsevier, The Netherlands, pp 3–13

    Google Scholar 

  4. Back T, Hammel U, Schwefel HP (1997) Evolutionary computation: comments on the history and current state. IEEE Trans Evol Comput 1:3–17

    Article  Google Scholar 

  5. Graja O, Zghal B, Dziedziech K, Chaari F, Jablonski A, Barszcz T, Haddar M (2019) Simulating the dynamic behavior of planetary gearbox based on improved Hanning function. CR Mec 374:49–61

    Article  Google Scholar 

  6. Gologlu C, Zeyveli M (2009) A genetic approach to automate preliminary design of gear drives. Comput Ind Eng 57:1043–1051

    Article  Google Scholar 

  7. Golabi S, Fesharaki JJ, Yazdipoor M (2014) Gear train optimization based on minimum volume/weight design. Mech Mach Theory 73:197–217

    Article  Google Scholar 

  8. Tamboli K, Patel S, George PM, Sanghvi R (2014) Optimal design of a heavy duty helical gear pair using particle swarm optimization technique. Procedia Technol 14:513–519

    Article  Google Scholar 

  9. Savsani V, Rao RV, Vakharia DP (2010) Optimal weight design of a gear train using particle swarm optimization and simulated annealing algorithms. Mech Mach Theory 45:531–541

    Article  Google Scholar 

  10. Diez-Ibarbia A, Fernandez del Rincon A, Iglesias M, de-Juan A, Garcia P, Viadero F (2015) Efficiency analysis of spur gears with a shifting profile. Meccanica 51:707–723

    Google Scholar 

  11. Rai P, Agrawal A, Saini ML, Jodder C, Barman AG (2018) Volume optimization of helical gear with profile shift using real coded genetic algorithm. Procedia Comput Sci 133:718–724

    Article  Google Scholar 

  12. Miler D, Lončar A, Žeželj D, Domitran Z (2017) Influence of profile shift on the spur gear pair optimization. Mech Mach Theory 117:189–197

    Article  Google Scholar 

  13. Miler D, Žeželj D, Lončar A, Vučković K (2018) Multi-objective spur gear pair optimization focused on volume and efficiency. Mech Mach Theory 125:185–195

    Article  Google Scholar 

  14. Michael GM (2013) Effect of change of contact ratio on contact fatigue Michael Gmariam these. Addis Ababa University (2013)

    Google Scholar 

  15. Colbourne JR (1987) The Geometry of Involute Gears. Springer, New York

    Book  Google Scholar 

  16. Mei W, Na J, Yang F, Shen G, Chen J (2016) The optimal design method and standardized mathematical model of tooth profile modification of spur gear. Math Probl Eng 1–7. https://doi.org/10.1155/2016/6347987

  17. Maaranen H, Miettinen K, Mäkelä MM (2004) Quasi-random initial population for genetic algorithms. Comput Math Appl 47:1885–1895

    Article  MathSciNet  Google Scholar 

  18. Samya B, Bachir A, Boudi EM, Amarir I (2019) The effect of addendum factor on contact ratio factor and contact stress for spur gears. In: 2019 7th international renewable and sustainable energy conference (IRSEC), Agadir, Morocco, pp 1–6. https://doi.org/10.1109/IRSEC48032.2019.9078205

  19. Samya B, Boudi EM (2020) Profile shift factor’s effect on contact stress and natural frequencies of spur gears using the finite element method. Int Rev Model Simul (IREMOS) 13:1–12

    Google Scholar 

  20. Samya B, Boudi EM, Bachir A, Amadane Y (2020) Analysis of profile shift factor’s effect on bending stress of spur gears using the finite element method. In: 2020 IEEE 6th international conference on optimization and applications (ICOA), Beni Mellal, Morocco, pp 1–6. https://doi.org/10.1109/ICOA49421.2020.9094486

  21. Gebremariam M, Thakur A, Leake E, Tilahun D (2018) Effect of change of contact ratio on contact fatigue stress of involute spur gears. Int J Current Eng Technol 8:719–731

    Article  Google Scholar 

  22. Maiti R, Roy AK (1966) Minimum tooth difference in internal-external involute gear pair. Mech Mach Theory 31:475–485

    Article  Google Scholar 

  23. Maaranen H, Miettinen K, Penttinen A (2007) On initial populations of a genetic algorithm for continuous optimization problems. J Glob Optim 37:405. https://doi.org/10.1007/s10898-006-9056-6

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Belarhzal, S., Boudi, E.M. (2021). Genetic Algorithm Design Optimization for Non-standard Spur Gears. In: Motahhir, S., Bossoufi, B. (eds) Digital Technologies and Applications. ICDTA 2021. Lecture Notes in Networks and Systems, vol 211. Springer, Cham. https://doi.org/10.1007/978-3-030-73882-2_4

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