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

Yıl 2022, Cilt: 10 Sayı: 3, 558 - 576, 30.09.2022
https://doi.org/10.29109/gujsc.1103492

Öz

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.

Kaynakça

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

Yıl 2022, Cilt: 10 Sayı: 3, 558 - 576, 30.09.2022
https://doi.org/10.29109/gujsc.1103492

Öz

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.

Kaynakça

  • 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.
  • Referans21 Hou Y., Lin C., “Kinematic analysis and experimental verification of an oval noncircular bevel gears with rotational and axial translational motions,” . J. Braz. Soc. Mech. Sci. Eng., p. 60, 2019.
  • Referans22 Prikhodko A., “Experimental kinematic analysis of an intermittent motion planetary mechanism with elliptical gears,” J. Meas. Eng., vol. 8, pp. 122–131, 2020.
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  • Referans24 Zhou K., Guo Y., Li X., “Modeling and Dynamics Analysis of Non-Circular Gears,” in PervasiveHealth: Pervasive Computing Technologies for Healthcare, Apr. 2020, pp. 442–447, doi: 10.1145/3436286.3436434.
  • Referans25 Zheng F., Hua L., Chen D., Han X., “Generation of Noncircular Spiral Bevel Gears by Face-Milling Method,” ASME J. Manuf. Sci. Eng., vol. 138(8), p. 081013, 2016.
  • Referans26 Litvin F. L., Gonzalez-Perez I., Yukishima K., Fuentes A., Hayasaka K., “Generation of planar and helical elliptical gears by application of rack-cutter, hob, and shaper,” Comput. Methods Appl. Mech. Eng., vol. 196, no. 41–44, pp. 4321–4336, 2007, doi: 10.1016/j.cma.2007.05.003.
  • Referans27 Katz A., Erkorkmaz K., Ismail F., “Virtual Model of Gear Shaping— Part I: Kinematics, Cutter–Workpiece Engagement, and Cutting Forces,” ASME J. Manuf. Sci. Eng., vol. 140(7), p. 071007, 2018.
  • Referans28 Bair B. W., “Computerized tooth profile generation of elliptical gears manufactured by shaper cutters,” J. Mater. Process. Technol., vol. 122, no. 2–3, pp. 139–147, 2002, doi: 10.1016/S0924-0136(01)01242-0.
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  • Referans30 Zheng F., Hua L., Han X., Li B., Chen D., “Linkage model and manufacturing process of shaping non-circular gears,” Mech. Mach. Theory, vol. 96, pp. 192–212, 2016, doi: 10.1016/j.mechmachtheory.2015.09.010.
  • Referans31 Zheng F., Hua L., Han X., Li B., Chen D., “Synthesis of Shaped Noncircular Gear Using a Three-Linkage Computer Numerical Control Shaping Machine,” J. Manuf. Sci. Eng. Trans. ASME, vol. 139, no. 7, 2017, doi: 10.1115/1.4035794.
  • Referans32 Zheng F., Guo X., Zhang M., “Non-uniform flank rolling measurement for shaped noncircular gears,” Meas. J. Int. Meas. Confed., vol. 116, pp. 207–215, Feb. 2018, doi: 10.1016/j.measurement.2017.07.048.
  • Referans33 Zheng F., Lin H., Han X., Zhang M., Zhang W., Guo X., “Avoidance of Cutter Retracting Interference in Noncircular Gear Shaping Through 4-Linkage Model,” J. Manuf. Sci. Eng. Trans. ASME, vol. 141, no. 5, 2019, doi: 10.1115/1.4043193.
  • Referans34 Zheng F., Xinghui H., Hua L., Zhang M., zhang W., “Design and manufacture of new type of non-circular cylindrical gear generated by face-milling method,” Mech. Mach. Theory, vol. 122, pp. 326–346, 2018, doi: 10.1016/j.mechmachtheory.2018.01.007.
  • Referans35 Tian X., Han J., Xia L., Wu L., “A fexible electronic helical guide controller,” Procedia CIRP, vol. 56, pp. 173–177, 2016.
  • Referans36 Han J., Wu L., Yuan B., Tian X., Xia L., “A novel gear machining CNC design and experimental research,” Int J Adv Manuf Tech, vol. 88, pp. 1711–1722, 2016.
  • Referans37 Wu J., Han J., Zhu Y., Tian X., Xia L., “Non-circular gear continuous generating machining interpolation method and experimental research,” J. Brazilian Soc. Mech. Sci. Eng., vol. 39, no. 12, pp. 5171–5180, 2017, doi: 10.1007/s40430-017-0873-y.
  • Referans38 Han J., Li D., Tian X., Xia L., “Linkage model and interpolation analysis of helical non-circular gear hobbing,” Journal of the Brazilian Society of Mechanical Sciences and Engineering, vol. 42, no. 11. 2020, doi: 10.1007/s40430-020-02663-1.
  • Referans39 Dan W., Ken C., Xiankui W., “An investigation of practical application of variable spindle speed machining to noncircular turning process,” Int J Adv Manuf Technol, vol. 44, pp. 1094–1105, 2009.
  • Referans40 Dan W., Tong Z., ChenXiankui W., “Application of active disturbance rejection control to variable spindle speednoncircular turning process,” Int. J. Mach. Tools Manuf., vol. 49, pp. 419–423, 2009.
  • Referans41 Li Q., Ai W., Chen B., “Variable angle compensation control of noncircular turning,” Int J Adv ManufTechnol, vol. 70(1):735, p. 46, 2014.
  • Referans42 Yang J., Rao P., Chen B., Ding H., Ai W., “Form error on-line estimation and compensation for non-circular turning process,” Int. J. Mech. Sci., vol. 184, no. May, 2020, doi: 10.1016/j.ijmecsci.2020.105847.
  • Referans43 Jiang H., Dazhu L., Xiaoqing T., Lian X., “Meshing principle and transmission analysis of a beveloid non-circular gear,” Adv. Mech. Eng., vol. 12(11), pp. 1–11, 2020.
  • Referans44 Liu Y., Gong J., Wu X., “Investigation on the grinding of elliptical gears with CNC conical wheel gear grinder,” Int. J. Adv. Manuf. Technol., vol. 64, no. 1–4, pp. 349–356, 2013, doi: 10.1007/s00170-012-4028-0.
  • Referans45 Sałaciński T., Przesmycki A., Chmielewski T., “Technological aspects in manufacturing of non-circular gears,” Appl. Sci., vol. 10, no. 10, 2020, doi: 10.3390/app10103420.
  • Referans46 Yazar M., “Design, Manufacturing and Operational Analysis of Elliptical Gears,” Int. J. Precis. Eng. Manuf., vol. 22, no. 8, pp. 1441–1451, 2021, doi: 10.1007/s12541-021-00549-3.
  • Referans47 García-Hernández C., Gella-Marín R. M., Huertas-Talón J. L., Efkolidis N., Kyratsis P., “WEDM manufacturing method for noncircular gears, using CAD/CAM software,” Stroj. Vestnik/Journal Mech. Eng., vol. 62, no. 2, pp. 137–144, 2016, doi: 10.5545/sv-jme.2015.2994.
  • Referans48 Lai M., “An investigation of the dynamic behavior of systems with noncircular gears,” hD Thesis, Univ. Wisconsin-Madison, USA., 1997.
  • Referans49 Kahraman A., Singh R., “Non-linear dynamics of a spur gear pair,” J. Sound Vib., vol. 142, pp. 49–75, 1990.
  • Referans50 Gao N., Meesap C., Wang S., Zhang D., “Parametric vibrations and instabilities of an elliptical gear pair,” JVC/Journal Vib. Control, vol. 26, no. 19–20, pp. 1721–1734, 2020, doi: 10.1177/1077546320902543.
  • Referans51 Lin J., Parker R. G., “Mesh stiffness variation instabilities in two-stage gear systems,” J. Vib. Acoust., vol. 124(1), pp. 68–76, 2002.
  • Referans52 Karpov O., Nosko P., Fil P., “Prevention of resonance oscillations in gear mechanisms using non-circular gears,” Mech. Mach. Theory, vol. 114, pp. 1–10, 2017.
  • Referans53 Liu X., Nagamura K., Ikejo K., “Simulation on the vibration characteristics of elliptical gears,” Proc. Inst. Mech. Eng. Part C J. Mech. Eng. Sci., vol. 227, no. 4, pp. 819–830, 2013, doi: 10.1177/0954406212454372.
  • Referans54 Lıu X., Nagamura K., Ikejo K., “Analysis of the dynamic characteristics of elliptical gears,” J. Adv. Mech. Des., vol. 6, p. 4, 2012.
  • Referans55 Maláková S., “Teeth deformatıon of non-cırcular gears,” Sci. J. Silesian Univ. Technol. Ser. Transp., vol. 110, 2021.
  • Referans56 Liu D. W., Zhi R., Xin J., “Dynamic model and its application of transmission system in noncircular gears,” J. Mach. Des., vol. 33(1), pp. 35–39, 2016.
  • Referans57 Zhou K., Li Y., Wang C., Li C., “Non-circular Gear Modal Analysis Based on ABAQUS,” in Proceedings - 8th International Conference on Intelligent Computation Technology and Automation, ICICTA 2015, May 2016, pp. 576–579, doi: 10.1109/ICICTA.2015.147.
  • Referans58 Vanegas-Useche L. V., Abdel-Wahab M. M., Parker G. A., “Nuevo par de engranajes no circulares para reducir las aceleraciones del eje: Comparación con engranajes sinusoidales y elípticos,” DYNA, vol. 83, no. 198, pp. 220–228, Sep. 2016, doi: 10.15446/dyna.v83n198.49170.
  • Referans59 Zhou K., Li Y., Li C., Wang C., “Non-circular Gear Kinematics Simulation Based on ADAMS,” Proc. - 8th Int. Conf. Intell. Comput. Technol. Autom. ICICTA 2015, pp. 572–575, 2016, doi: 10.1109/ICICTA.2015.146.
  • Referans60 Waldron K. J., Kinzel G. L., Agrawal S. K., “Kinematics, Dynamics, and Design of Machinery, 3th Edition,” Wiley, New York, 2004.
  • Referans61 Sun Z. X., Hebbale K., “Challenges and opportunities in automotive transmission control,” Proc. 2005 Am. Control Conf. Portl., pp. 3284–3289, 2005.
  • Referans62 Wang X. F., Zhu W. D., “Design, modeling, and simulation of a geared infinitely variable transmission,” ASME J. Mech. Des, vol. 136(7), p. 071011, 2014. [63] Litvin F., Fuentes-Aznar A., “Noncircular Gears: Design and Generation,” Cambridge Univ. Press. New York, 2009.
  • Referans64 Prikhodko A. A., Smelyagin, A. I., “Kinematic analysis of mechanism for converting rotational motion into reciprocating rotational motion,” Procedia Eng., vol. 129, pp. 87–92, 2015.
  • Referans65 Lee G. S., Park M. Y., “Flow fıeld characterıstıcs ın the housıng of noncırcular gear flowmeter,” no. July, 2008.
  • Referans66 Liu D., Ba Y., Ren T., “Flow fluctuation abatement of high-order elliptical gear pump by external noncircular gear drive,” Mech. Mach. Theory, vol. 134, pp. 338–348, 2019, doi: 10.1016/j.mechmachtheory.2019.01.011.
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  • Referans74 Meribout M., Azzi A., Ghendour N., Kharoua N., Khezzar L., AlHosani E., “Multiphase Flow Meters Targeting Oil & Gas Industries,” Meas. J. Int. Meas. Confed., vol. 165, p. 108111, 2020, doi: 10.1016/j.measurement.2020.108111.
  • Referans75 Li X., Huang Z., Meng Z., Wang B., Li H., “Oil-water two-phase flow measurement using a venturi meter and an oval gear flow meter,” Chem. Eng. Commun., vol. 197, no. 2, pp. 223–231, 2010, doi: 10.1080/00986440902938469.
  • Referans76 Yan J., Li S., Li R., “Numerical study on the auxiliary entrainment performance of an ejector with different area ratio,” Appl. Therm. Eng., vol. 185, no. August 2020, p. 116369, 2021, doi: 10.1016/j.applthermaleng.2020.116369.
  • Referans77 Park J. J, Lee E. S., “A study on the elliptical gear design for oval flowmeter,” Trans. Korean Soc. Mech. Eng. A, vol. 37, no. 8, pp. 1029–1033, 2013, doi: 10.3795/KSME-A.2013.37.8.1029.
  • Referans78 Yazar M., Özdemir A., “Eliptik Düz Dişlilerin Bilgisayar Destekli Tasarımı ve CNC Tel Erozyon ile İmalatı,” Politek. Derg., vol. 13, pp. 245–253, 2010.
Toplam 77 adet kaynakça vardır.

Ayrıntılar

Birincil Dil Türkçe
Konular Mühendislik
Bölüm Tasarım ve Teknoloji
Yazarlar

İbrahim Pazarkaya 0000-0002-7046-2572

Mehmet Yazar 0000-0003-3999-3233

Ahmet Özdemir 0000-0001-9919-8149

Yayımlanma Tarihi 30 Eylül 2022
Gönderilme Tarihi 14 Nisan 2022
Yayımlandığı Sayı Yıl 2022 Cilt: 10 Sayı: 3

Kaynak Göster

APA Pazarkaya, İ., Yazar, M., & Özdemir, A. (2022). Eliptik Dişli Tasarımı, İmalatı, Analizi ve Eliptik Dişlilerin Endüstriyel Uygulamaları. Gazi Üniversitesi Fen Bilimleri Dergisi Part C: Tasarım Ve Teknoloji, 10(3), 558-576. https://doi.org/10.29109/gujsc.1103492

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