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Eliptik Dişli Tasarımı, İmalatı, Analizi ve Eliptik Dişlilerin Endüstriyel Uygulamaları

Year 2022, Volume: 10 Issue: 3, 558 - 576, 30.09.2022
https://doi.org/10.29109/gujsc.1103492

Abstract

Eliptik dişliler üzerine yapılan çalışmaların diş profillerinin tasarımı üzerine yoğunlaştığı ve prototip imalatlarına yönelik araştırmaların arttığı görülmektedir. Eliptik dişlilerin diş profillerinin silindirik dişliler gibi özdeş olmayacağından hareketle geliştirilen eliptik dişlinin diş profili; kramayer veya silindirik düz dişli formlu kesicinin bölüm elipsi üzerinde yuvarlanma yöntemine uygun olarak evolvent eğriye sahip diş yanaklarının şekillendirilmesiyle elde edilmektedir. Eliptik dişlilerin imalatında CNC tel erozyon tezgahlarından faydalanmanın yaygınlaştığı, bununla birlikte azdırma tezgâhları için elektronik dişli kutuları geliştirilerek eliptik dişlilerin standart modülde imalatının da mümkün olduğu tespit edilmiştir. Eliptik dişli çiftleri farklı makine ve teçhizatta kullanılmakta, özellikle eliptik dişli çiftine sahip debimetre ve pompaların yaygınlaştığı görülmektedir. Enerji verimliliğinin son derece önem kazandığı günümüzde, yüksek akışkan miktarlarının doğru ve hassas ölçülmesi ve işletmelerin akışkan transferindeki kayıplarının giderilmesi de gerekmektedir. Bu genel değerlendirme çalışmasında eliptik dişlilerin tasarımı, geleneksel ve geleneksel olmayan imal usulleri ile imalatı, dayanım ve titreşim analizleri ve literatürde yer alan muhtelif endüstriyel uygulamaları gözen geçirilmiş ve çalışmanın ortak bulguları elde edilmiştir. Eliptik dişlilerin yakın gelecekte bünyesinde mekanik kısım barındıran birçok akıllı ürünün vazgeçilmez bir organı olacağı öngörülmektedir.

References

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Elliptical Gear Design, Manufacturing, Analysis, and Their Industrial Practises

Year 2022, Volume: 10 Issue: 3, 558 - 576, 30.09.2022
https://doi.org/10.29109/gujsc.1103492

Abstract

The studies covered elliptical gears focus on the design of tooth profiles and the researches increase about prototype manufacturing of elliptical gears. Elliptical gear tooth profile, which is developed based on the fact that the tooth profiles of elliptical gears are not identical to cylindrical gears; It is obtained by shaping tooth flanks with involute curves in accordance with the rolling method on the section ellipse with a rack or cylindrical spur gear cutter. It has been determined that the use of CNC electrical discharge machining (EDM) in the manufacture of elliptical gears has preferably become, also, the manufacturability of elliptical gears in standard modules by developing electronic gearboxes for hobbing machines. Elliptical gear pairs are used into different machines, mechanism and equipments, especially flow meters, and pumps with elliptical gear pairs are seen to be widespread. In today's world, where energy efficiency is of utmost importance, accurate and precise measurement of high fluid amounts and eliminating the losses in the fluid transfer of enterprises are also required. In this review study, the design of elliptical gears, traditional and non-traditional manufacturing methods, strength and vibration analyzes, and various industrial applications in the literature were evoluated and the common result of the literatüre works were obtained. It is predicted that elliptical gears will be an indispensable part of many smart products that contain mechanical parts in the near future.

References

  • Referans1 Addomine M., Figliolini G., Pennestrì E., “A landmark in the history of non-circular gears design: The mechanical masterpiece of Dondi’s astrarium,” Mech. Mach. Theory, vol. 122, pp. 219–232, Apr. 2018, doi: 10.1016/j.mechmachtheory.2017.12.027.
  • Referans2 LAI M. J., “An Investigation of The Dynamic Behaviour of Systems With, Noncircular Gears,” Cnkijournal, Beijing, pp. 377–388, 1996.
  • Referans3 Mundo D., “Geometric design of planetary gear train with non-circular gears,” Mech. Mach. Theory Elsevier Ltd, pp. 456–472, 2006.
  • Referans4 Yao Y. A., Yan H. S., “A new method for torque balancing of planar linkages using non-circular gears,” Proc. Inst. Mech. Eng. Part C J. Mech. Eng. Sci., vol. 217(5), pp. 495–503, 2003.
  • Referans5 Chang S. L., Tsay C. B., Wu L.I., “Mathematical model and undercutting analysis of elliptical gears generated by rack cutters,” Mech. Mach. Theory, vol. 31, no. 7, pp. 879–890, 1996, doi: 10.1016/0094-114X(95)00121-E.
  • Referans6 Litvin F. L., “Gear Geometry and Applied Theory,” PTR Prentice-Hall, New Jersy, pp. 300–400, 1994.
  • Referans7 Gang L., Weidong Z., “Design and power loss evaluation of a noncircular gear pair for an infinitely variable transmission,” Mech. Mach. Theory, vol. 156, 2021.
  • Referans8 Junfeng W., Xiaobo L., Chuan L., Bo L., Fangyan Z., “Three-dimensional design and motion analysis of non-circular gear [J].,” J. hubei Univ. Technol., vol. 29(04), pp. 69–72, 2014.
  • Referans9 Medvecká-Beňová S., “Desıgnıng pıtch curves of non-cırcular gears,” Sci. J. Silesian Univ. Technol. Ser. Transp., vol. 99, pp. 105–114, Jun. 2018, doi: 10.20858/sjsutst.2018.99.10.
  • Referans10 Tong S. H., Yang C. H., “Generation of Identical Noncircular Pitch Curves,” ASME J. Mech. Des., vol. 120(2), pp. 337–341, 1998.
  • Referans11 Litvin F. L., Fuentes A., “Gear Geometry and Applied Theory,” Cambridge Univ. Press. New York, 2004.
  • Referans12 Chung D. D., Wolfgramm R., “Maxillary arch perimeter prediction using Ramanujan’s equation for the ellipse,” Am. J. Orthod. Dentofac. Orthop., vol. 147, no. 2, pp. 235–241, 2015, doi: 10.1016/j.ajodo.2014.10.022.
  • Referans13 Pazarkaya İ., Özdemir A., “Eliptik dişli çarklarda bölüm elipsinin analitik olarak hesaplanması,” 1. ULUSLARARASI MÜHENDİSLİK BİLİMLERİ VE MULTİDİSİPLİNER YAKLAŞIMLAR KONGRESİ, pp. 490–498, 2021.
  • Referans14 Han J., Li D. Z., Gao T., Xia L., “Research on Obtaining of Tooth Profile of Non-circular Gear Based on Virtual Slotting,” 14th IFToMM World Congr. (Taipei Taiwan), no. URL:http://www.iftomm2015.tw/IFToMM2015CD/PDF/PS6-001.pdf, pp. 25–30, 2015.
  • Referans15 Wang X., “A numerical algorithm of tooth profile of non-circular cylindrical gear,” in AIP Conference Proceedings, Jul. 2017, vol. 1864, doi: 10.1063/1.4992991.
  • Referans16 Lyashkov A. A., Panchuk K. L., Khasanova I. A., “Automated Geometric and Computer-aided Non-Circular Gear Formation Modeling,” in Journal of Physics: Conference Series, Jul. 2018, vol. 1050, no. 1, doi: 10.1088/1742-6596/1050/1/012049.
  • Referans17 Bair B. W., “Computer aided design of elliptical gears with circular-arc teeth,” Mech. Mach. Theory, vol. 39, no. 2, pp. 153–168, Feb. 2004, doi: 10.1016/S0094-114X(03)00111-3.
  • Referans18 Betten J., “involute of an ellipse,” Math. Model. Mater. Sci. Contin. Mech. Augustinerbach, pp. 4–20, 2009.
  • Referans19 Han J., Li D., Xia L., Jiang B., “Research on design method of non-circular gear pair with double generating angles, , Computer Aided Drafting,” Des. Manuf. Vol., vol. 25, p. 52, 2015.
  • Referans20 Yazar M., Özdemir A., “Computer-aıded desıgn, manufacture and experımental analysıs of a paır of ellıptıcal spur gears,” ANADOLU Univ. J. Sci. Technol. A - Appl. Sci. Eng., vol. 17, no. 5, pp. 869–869, Dec. 2016, doi: 10.18038/aubtda.279855.
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There are 77 citations in total.

Details

Primary Language Turkish
Subjects Engineering
Journal Section Tasarım ve Teknoloji
Authors

İbrahim Pazarkaya 0000-0002-7046-2572

Mehmet Yazar 0000-0003-3999-3233

Ahmet Özdemir 0000-0001-9919-8149

Publication Date September 30, 2022
Submission Date April 14, 2022
Published in Issue Year 2022 Volume: 10 Issue: 3

Cite

APA Pazarkaya, İ., Yazar, M., & Özdemir, A. (2022). Eliptik Dişli Tasarımı, İmalatı, Analizi ve Eliptik Dişlilerin Endüstriyel Uygulamaları. Gazi University Journal of Science Part C: Design and Technology, 10(3), 558-576. https://doi.org/10.29109/gujsc.1103492

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