Meshing Characteristics of Profile Shifted Cylindrical Quasi-Involute Arc-Tooth-Trace Gears. Part 1. Theoretical Base

Tkach, Pavlo; Reviakina, Olga; Kryvosheia, Anatolii; Melnyk, Volodymyr; Ustynenko, Oleksandr; Protasov, Roman

doi:10.2478/scjme-2022-0029

Abstract

A mathematical model of profile shifted quasi-involute arc-tooth-trace gears is obtained. The model includes functional relationships between the geometric-kinematic meshing characteristics and parameters of the generating surface as well as conditions which allow to prevent teeth undercutting and tip pointing. A short analysis of meshing characteristics value along the tooth trace is done for pressure angle value of 20º. This value of the angle was chosen as it is the most common one for general-duty gears, although the basic rack profile angle in the model is a variable quantity. The model can be used in the design and analysis of geometric-kinematic meshing characteristics of profile shifted quasi-involute arc-tooth-trace gears, cut by Gleason-type cutters with different profile angle value.

References

[1] EINPRESSWIRE “Gear Manufacturing Market Strapping Growth Analysis Based on Future Opportunities by 2031” news provided by Prudour Pvt Ltd [online] Available at: https://www.einnews.com/pr_news/583007472/gear-manufacturing-market-strapping-growth-analysis-based-on-future-opportunities-by-2031 [Accessed: July 26, 2022]
Search in Google Scholar Back to article
[2] Gupta, K., Laubscher, R. F., Davim, J. P., Jain, N. K. “Recent developments in sustainable manufacturing of gears: a review”, Journal of Cleaner Production 112 (4), pp. 3320 – 3330, 2016. DOI: 10.1016/j.jclepro.2015.09.133
Open DOI Search in Google Scholar Back to article
[3] Grote, K. H., Antonsson, E. K. (Eds.) “Springer Handbook of Mechanical Engineering”, Springer Publ., New York, USA, 2009. ISBN: 978-3-540-49131-6
Search in Google Scholar Back to article
[4] Linke, H., Börner, J., Heß, R. “Cylindrical Gears”, Carl Hanser Verlag, Munich, Germany, 2016. ISBN 978-1-56990-489-3
Search in Google Scholar Back to article
[5] Dimić, A., Mišković, Ž., Mitrović, R., Ristivojević, M., Stamenić, Z., Danko, J., Bucha, J. & Milesich, T. “The Influence of Material on the Operational Characteristics of Spur Gears Manufactured by the 3D Printing Technology”. Strojnícky časopis - Journal of Mechanical Engineering 68(3), pp. 261-270, 2018. DOI: 10.2478/scjme-2018-0039
Open DOI Search in Google Scholar Back to article
[6] Amani, A., Spitas, C., Spitas, V. “Generalised non-dimensional multi-parametric involute spur gear design model considering manufacturability and geometrical compatibility”. Mechanism and Machine Theory 109, рр. 250 – 277, 2017. DOI: 10.1016/j.mechmachtheory.2016.11.012
Open DOI Search in Google Scholar Back to article
[7] Marković, K., Franulović, M. Contact stresses in gear teeth due to tip relief profile modification”. Engineering Review 31-1, pp. 19 – 26, 2011.
Search in Google Scholar Back to article
[8] Sánchez, M. B., Pleguezuelos, M., Pedrero, J. I. “Influence of profile modifications on meshing stiffness, load sharing, and transmission error of involute spur gears”. Mechanism and Machine Theory 139, pp. 506 – 525, 2019. DOI: 10.1016/j.mechmachtheory.2019.05.014
Open DOI Search in Google Scholar Back to article
[9] Pleguezuelos, M., Sánchez, M. B., Pedrero, J. I. “Control of transmission error of high contact ratio spur gears with symmetric profile modifications”, Mechanism and Machine Theory 149, 103839, 2020. DOI: 10.1016/j.mechmachtheory.2020.103839
Open DOI Search in Google Scholar Back to article
[10] Berlinger, B. E., Coulbourne, J. R. “Convoloid gearing technology”, Gear Solutions, pр. 50 – 57, 2012. [online] Available at: https://gearsolutions.com/features/convoloid-gearing-technology/
Search in Google Scholar Back to article
[11] Hlebanja, J., Hlebanja, G., Umberger, M. “S-gear design rules”, Ventil, 26(4), pр. 254–263, 2020. Available at: https://revija-ventil.si/wp-content/uploads/hlebanja_s_ozobja.pdf
Search in Google Scholar Back to article
[12] Lou, S. M., Wu, Y., Wang, J. “The generation principle and mathematical models of a novel cosine gear drive”. Mechanism and Machine Theory 43, pр. 1543 – 1556, 2008. DOI: 10.1016/j.mechmachtheory.2007.12.007
Open DOI Search in Google Scholar Back to article
[13] Wadagaonkar, S., Shinde, S. “Cosine gear stress analysis with experimental validation and comparison with involute gear”, International Journal of Innovative Science, Engineering & Technology 2 (3), pр. 438 – 443, 2015. Available at: https://ijiset.com/vol2/v2s3/IJISET_V2_I3_70.pdf
Search in Google Scholar Back to article
[14] Wang, J., Hou, L., Luo, S., Wu, R. Y. “Active design of tooth profiles using parabolic curve as the line of action”, Mechanism and Machine Theory 67, pp. 47 – 63, 2013. DOI: 10.1016/j.mechmachtheory.2013.04.002
Open DOI Search in Google Scholar Back to article
[15] Kopiláková, B., Bošanský, M. “Non-standard gearing as the possibility of increasing resistance to pitting”. Scientific Proceedings 2014 Faculty of Mechanical Engineering SUT in Bratislava, 22, pp.43 – 49, 2014. DOI: 10.2478/stu-2014-0008
Open DOI Search in Google Scholar Back to article
[16] Vorontsov, B., Bosansky, M., Kyrychenko, I., Kuzmenko, N., Stupnytskyy, V., Kuleshkov, Y. Ustinenko, A. “Methods of Designing Gear’s Machining Tools with the Hyperboloid Cutting Part”, Strojnícky časopis – Journal of Mechanical Engineering 70 (1), pp. 135 – 142, 2020. DOI: 10.2478/scjme-2020-0013
Open DOI Search in Google Scholar Back to article
[17] Ravs’ka, N., Klochko, O., Vorobiev, S. “Technological Features of Manufacturing an Arched Gears”. Journal of Mechanical Engineering NTUU “Kyiv Polytechnic Institute”, 72, pp. 181 – 189, 2014. DOI: 10.20535/2305-9001.2014.72.37391
Open DOI Search in Google Scholar Back to article
[18] Sidorenko, A. K. “New Types of Gears”, Mashinostroenie Publ., Moscow, 1990. ISBN 5-217-01131-9 (In Russian)
Search in Google Scholar Back to article
[19] Malyi D. V. “Improving of engineering level of arc-tooth-trace cylindrical gears with Novikov’s gearing by multicriteria geometric-kinematic synthesis”, PhD Thesis, Volodymyr Dahl East-Ukrainian National University, 2004. (In Ukrainian)
Search in Google Scholar Back to article
[20] Shishov, V. P., Nosko, P. L., Revjakina, O. A. “Cylindrical arc-tooth-trace gears”, Volodymyr Dahl EUNU Publ., Lugans’k, Ukraine, 2004. ISBN 966-590-480-9 (In Russian)
Search in Google Scholar Back to article
[21] Nosko, P., Bashta, О., Lysenko, A., Tkach, P., Bashta, A. “Arched gears teeth geometry within reference profile shift”. Problems of Friction and Wear 4, pp. 69 – 75, 2019. DOI: 10.18372/0370-2197.4(85).13874
Open DOI Search in Google Scholar Back to article

Meshing Characteristics of Profile Shifted Cylindrical Quasi-Involute Arc-Tooth-Trace Gears. Part 1. Theoretical Base

Abstract

Paradigm

My account