Optimal Design of Spur Gears With Increased Contact Ratio

Ustynenko, Oleksandr; Cherelev, Stanislav; Ondruška, Juraj; Protasov, Roman; Yepifanov, Vitalii; Bondarenko, Oleksiy; Andrienko, Sergij

doi:10.2478/scjme-2025-0017

Abstract

The study is devoted to optimal design of gears with profile contact ratio ε_α ≥ 2. Optimality criteria formulated as follows: the contact stresses in the pitch point must take a minimum value when all constraints are met, first, when the profile contact ratio ε_α ≥ 2 is ensured. Variables planning are defined. Formed a system of constraints for the variables planning. A LPτ-sequence method for solving the problem of optimal design is chosen. The algorithm for optimal design of gear has been developed.

References

Pavlyshhe, V. T. "Osnovy konstrujuvannja ta rozrahunok detalej mashyn", Afisha Publ., L'viv, Ukraine, 2003.
Search in Google Scholar Back to article
Radzevich, Stephen P. "High-Conformal gearing. Kinematics and Geometry", CRC Pres, Boca Raton, USA, 2016. ISBN 9-7804-2915-5727, DOI: 10.1201/b19332
Search in Google Scholar Back to article
Pavlov, A. I. "Sovremennaya teoriya zubhcatikh zaceplenij", KhNADU Publ., Kharkov, Ukraine, 2005.
Search in Google Scholar Back to article
Vereš, M., Bošanský, M., Gaduš, J. "Theory of Convex-Concave and plane cylindrical gearing", STU, Bratislava, Slovakia, 2006.
Search in Google Scholar Back to article
Tkach, P., Reviakina, O., Kryvosheia, A., Melnyk, V., Ustynenko, O., Protasov, R. "Meshing Characteristics of Profile Shifted Cylindrical Quasi-Involute Arc-Tooth-Trace Gears. Part 1. Theoretical Base", Strojnícky časopis–Journal of Mechanical Engineering 72 (2), рp. 201–210, 2022. DOI: 10.2478/scjme-2022-0029
Search in Google Scholar Back to article
Edited by Radzevich, Stephen P. "Dudley’s Handbook of Practical Gear Design and Manufacture", 4th Edition, CRC Pres, Boca Raton, USA, 2022.
Search in Google Scholar Back to article
Chanho, Ch., Hyoungjong, A., Young-jun, P., Geun-ho, L., Su-chul, K. "Influence of gear tooth addendum and dedendum on the helical gear optimization considering mass, efficiency, and transmission error", Mechanism and Machine Theory 166, No. of article 104476, December 2021. Available at: https://www.sciencedirect.com/science/article/abs/pii/S0094114X21002342.
Search in Google Scholar Back to article
Rameshkumar, M., Sivakumar, P., Sundaresh S., Gopinath K. "Load Sharing Analysis of High-Contact-Ratio Spur Gears in Military Tracked Vehicle Applications", Gear Technology, pp. 43–50, July 2010.
Search in Google Scholar Back to article
Rackov, M. "Optimization of HCR Gearing Geometry from Scuffing Point of View", PhD Thesis, STU in Bratislava, 2014.
Search in Google Scholar Back to article
Vereš, M., Bošanský, M. "Optimization of the HCR gearing from pitting damage point of view", MM Science Journal 2017 (03), pp. 1825–1828, 2017. DOI: 10.17973/MMSJ.2017_06_201704
Search in Google Scholar Back to article
Bošanský, M., Tóth, F Rusnák, J. "Possibilities of application of hard thin coatings in HCR gearing working in interaction with ecological lubricant", Bulletin of the National Technical University «KhPI» Series Engineering and CAD, pp. 40–43, 2018. DOI: 10.20998/2079-0775.2018.25.09.
Search in Google Scholar Back to article
Bošanský, M., Tóth, F., Gulan, L., Rusnák, J., Furstenzeller, A. "Scuffing Resistance of 16MnCr5 HCR TiAlCN-Coated Gears", In book: Current Methods of Construction Design, pp.445–452, 2020. DOI: 10.1007/978-3-030-33146-7_51
Search in Google Scholar Back to article
Bunakov, Ju. N., Ustinenko, A. V. "Vybor racional'nogo kojefficienta vysoty zuba", Teorija mehanizmov i mashin 44, pp. 7–9, 1988.
Search in Google Scholar Back to article
Cherelev, S., Ustynenko, O., Bondarenko, O., Protasov, R., Andrienko, S. "Matematychna model' optymizacii' zubchastyh peredach iz pidvyshhenym koeficijentom perekryttja", Suchasni problemy modelyuvannya: zb. nauk. prac' MDPU im. B. Khmel'nyc'kogo, Vol. 25, pp. 226–233, 2023. DOI: 10.33842/2313-125X-2023-25
Search in Google Scholar Back to article
GOST 21354-87. Peredachi zubchatye cilindricheskie jevol'ventnye vneshnego zaceplenija. Raschet na prochnost'", Standarts Publ., Moscow, USSR, 1989.
Search in Google Scholar Back to article
ISO 6336-1:2019. Calculation of load capacity of spur and helical gears–Part 1: Basic principles, introduction and general influence factors", 2019.
Search in Google Scholar Back to article
Bolotovskij, I. A., Gur'ev, B. I., Smirnov, V. Je., Shenderej, B. I. "Cilindricheskie evol'ventnye zubchatye peredachi vneshnego zaceplenija. Raschet geometrii: Spravochnoe posobie", Mashinostroenie Publ., Moscow, USSR, 1974.
Search in Google Scholar Back to article
Rekleytys, H., Reyvyndran, A., Rjehsdel, K. "Engineering Optimization", A Wiley-Interscience Publ., New York, USA, 1983.
Search in Google Scholar Back to article
Cézová E. "Economical and Statistical Optimization of the Maintenance in the Production rocess", Manufacturing Technology 23 (1), 2023. ISSN 2787–9402
Search in Google Scholar Back to article
Sobol', I. M., Statnikov, R. B. "Vybor optimal'nyh parametrov v zadachah so mnogimi kriterijami", 2th ed., Drofa Publ., Moscow, Russia, 2006. ISBN 5-7107-7989-Х
Search in Google Scholar Back to article
Ustynenko, O., Bondarenko, O., Klochkov, I, Protasov, R., Bošanský, M., Andrienko, S. "Mathematical Model and Optimization Algorithm by Mass of Tracked Load-Carrier/Prime Mover MT-LB Transmission", Strojnícky časopis–Journal of Mechanical Engineering 72 (1), рp. 125–134, 2022. DOI: 10.2478/scjme-2022-0012
Search in Google Scholar Back to article
Brumercik, F., T Gajdošík T., Čuchor, M. "Measurement and Evaluation of the Test Bench with an Open Flow of Mechanical Power for Gearboxes Testing". Proceedings of the 61st International Conference of Machine Design Departments (ICMD 2020), 2023 DOI: 10.2991/978-94-6463-182-1_38
Search in Google Scholar Back to article

Optimal Design of Spur Gears With Increased Contact Ratio

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