PİNYON TAKIMLA İMAL EDİLEN EVOLVENT HELİSEL DİŞLİLERİN DİŞ PROFİLİNİN BİLGİSAYAR ORTAMINDA OLUŞTURULMASI

Year 2016, Volume: 57 Issue: 677, 28 - 35, 18.06.2016

Cüneyt Fetvacı

Abstract

Bu çalışmada, pinyon takımla imal edilen helisel dişli çarkların bilgisayar simülasyonu ele alınmaktadır. Dişli teorisi esas alınarak evolvent profilli kesici takımların ve imal edilen dişlilerin matematik
modelleri verilmiştir. Profil kaydırma ve asimetrik profil gibi tashihler de göz önüne alınmıştır. Matematik modellerden hareketle bilgisayar programları geliştirilmiş, evolvent profilli helisel dişlilerin
bilgisayar grafikleri elde edilmiştir. 3-Boyutlu katı model ve sonlu eleman modelleri gösterilmiştir.
Bu simülasyonla imalattan önce takım dizayn parametrelerinin dişli geometrisi üzerindeki etkileri
incelenebilir.

Keywords

Asimetrik evolvent profil, pinyon takım, helisel dişliler, profil kaydırma, CAD/ FEM model

Supporting Institution

İstanbul Üniversitesi Bilimsel Araştırma Projeleri Birimi

Project Number

BYP- 38122

Thanks

Bu çalışma İstanbul Üniversitesi Bilimsel Araştırma Projeleri Birimi (Proje No. BYP- 38122) tarafından desteklenmiştir.

COMPUTERIZED TOOTH PROFILE GENERATION OF INVOLUTE HELICAL GEARS MANUFACTURED BY SHAPER CUTTERS

Abstract

This paper studies the computerized tooth profile generation of helical gears cut with pinion-type shaper cutters. Based on the theory of gearing the mathematical models of pinion-type shaper cutters and
generated gears with involute teeth are given. The corrections on geometry such as addendum modification (profile shift) and asymmetric tooth profile are also considered. Computer simulation programs
are developed to obtain graphs of generating tools and generated teeth surfaces. Also 3-D solid and
finite element models of helical gears are obtained. The effect of tool parameters on generated gear can
be investigated before manufacturing. 

Keywords

Asymmetric involute profile, pinion cutter, helical gears, profile shift, CAD/FEM modeling

Project Number

BYP- 38122

References

• 1. Akkurt, M. 1999. Makina Elemanları: Dişli Çarklar ve Diğer Güç İletim Elemanları, Birsen Yayınevi, İstanbul.
• 2. Çakmak, S. 1980. Dişli Çarklar: Geometri-Mukavemet-Teknoloji, İstanbul.
• 3. Jelaska, D. 2012. Gears and Gear Drives, Wiley, West Sussex, UK.
• 4. Buckingham, E. 1988. Analytical Mechanics of Gears, McGraw-Hill, New York, USA.
• 5. Salamoun, C., Suchy, M. 1973. “Computation of Helical or Spur Gear Fillets,” Mechanism and Machine Theory, vol. 8 (3), p. 305-323.
• 6. Colbourne, J. R. 1987. The Geometry of Involute Gears, Springer-Verlag, New Jersey, USA.
• 7. Litvin, F. L. 1994. Gear Geometry and Applied Theory, Prentice Hall, New Jersey, USA.
• 8. Tsay, C. B. 1988. “Helical Gears with Involute Shaped Teeth: Geometry, Computer Simulation, Tooth Contact Analysis and Stress Analysis,” Journal of Mechanical Design, vol. 110 (4), p. 482–491.
• 9. Chang, S. L., Tsay, C. B. 1998. “Computerized Tooth Profile Generation and Undercut Analysis of Noncircular Gears Manufactured with Shaper Cutters,” Journal of Mechanical Design, vol. 120 (1), p. 92-99.
• 10. Liu, C. C., Tsay, C.B. 2001. “Tooth Undercutting of Beveloid Gears,” Journal of Mechanical Design, vol. 123 (4), p. 569–576.
• 11. Figliolini, G., Angeles, J. 2003. “The Synthesis of Elliptical Gears Generated by Shaper-Cutters,” Journal of Mechanical Design, vol. 125 (4), p. 793-801.
• 12. Brauer, J. 2004. “A General Finite Element Model of Involute Gears,” Finite Elements in Analysis and Design, vol. 40 (13-14), p. 1857-1872.
• 13. Chen, C. F., Tsay, C. B. 2005. “Tooth Profile Design for the Manufacture of Helical Gear Sets with Small Numbers of Teeth,” International Journal of Machine Tools and Manufacture, vol. 45 (12-13), p. 1531-1541.
• 14. Yang, S. C. 2005. “Mathematical Model of a Helical Gear with Asymmetric Involute Teeth and Its Analysis,” International Journal of Advanced Manufacturing Technology, vol. 26 (5-6), p. 448-456.
• 15. Yang, S. C. “Study on an Internal Gear with Asymmetric Involute Teeth,” Mechanism and Machine Theory, vol. 42 (8), p. 977-994.
• 16. Tsay, M. F., Fong, Z. H. 2007. “Novel Profile Modification Methodology for Moulded Face-gear Drives,” Journal of Mechanical Engineering Science, vol. 221 (6), p. 715 725.
• 17. Fetvacı, C., İmrak, E. 2008. “Mathematical Model of a Spur Gear with Asymmetric Involute Teeth and Its Cutting Simulation,” Mechanics Based Design of Structures and Machines, vol. 36 (1), p. 34–46.
• 18. Wu, S. Z., Tsai, S. J. 2009. “Contact Stress Analysis of Skew Conical Involute Gear Drives in Approximate Line Contact,” Mechanism and Machine Theory, vol. 44 (9), p. 1658-1676.
• 19. Fetvacı, C. 2010. “Computer Simulation of Helical Gears with Asymmetric Involute Teeth”, Journal of The Faculty of Engineering and Architecture of Gazi University, vol. 25 (3), p. 441-447.
• 20. Fetvacı, C. 2010. “Definition of Involute Spur Gear Profiles Generated by Gear-Type Shaper Cutters,” Mechanics Based Design of Structures and Machines, vol. 38 (4), p. 481-492.
• 21. Fetvacı, C. 2010. “Generation Simulation of Involute Spur Gears Machined by Pinion-Type Shaper Cutters,” Strojniski vestnik-Journal of Mechanical Engineering, vol. 56 (10), p. 644-652.
• 22. Chen, W. L., Tsay, C. B. 2011. “Mathematical Model and Tooth Surfaces of Recess Action Wormgears with Doubledepth Teeth,” Mechanism and Machine Theory, vol. 46 (12), p. 1840-1853.
• 23. Chen, Y. C., Tsay, C. B. 2002. “Stress Analysis of a Helical Gear Set with Localized Bearing Contact,” Finite Elements in Analysis and Design, vol. 38 (8), p. 707-723.
• 24. Kuang, J. H., Chen, W. L. 1996. “Determination of Tip Parameters for the Protuberance Preshaving Cutters,” Mechanism and Machine Theory, vol. 31 (7), p. 839-849.
• 25. Tsay, C. B., Liu, W. Y., Chen, Y. C. 2000. “Spur Gear Generation by Shaper Cutters,” Journal of Materials Processing Technology, vol. 104 (3) p. 271-279.
• 26. Kapelevich, A. L., McNamara, T. M. 2005. “Direct Gear Design for Automotive Applications,” SAE 2005 World Congress & Exhibition, Detroit, MI, USA.
• 27. Alipiev, O. 2011. “Geometric Design of Involute Spur Gear Drives with Symmetric and Asymmetric Teeth using the Realized Potential Method,” Mechanism and Machine Theory, vol. 46 (1), p. 10-32.
• 28. Fetvacı, C. 2011. “Yuvarlanma Metodu ile İmal Edilen Asimetrik Evolvent Düz Dişlilerin Bilgisayar Simülasyonu,” Mühendis ve Makina, cilt 52, no. 516 , s. 60-69.
• 29. Su, X., Houser, D. R. 2000. “Characteristics of Trochoids and their Application to Determining Gear Teeth Fillet Shapes,” Mechanism and Machine Theory, vol. 35 (2), p. 291–304.
• 30. Lian, G. 2006. “Determining the Shaper Cut Helical Gear Fillet Profile,” Gear Technology, vol. 23, p. 56-67.
• 31. Tang, X., Ren, F., Jiang, Y., Gao, S. 2008. “Geometric Modeling and Dynamic Simulation of Involute Gear by Generating Method,” 13th International Conference on Geometry and Graphics, August 4-8, Dresden.
• 32. Alipiev, O., Antonov, S., Grozeva, T. 2013. "Generalized Model of Undercutting of Involute Spur Gears Generated by Rack-cutters," Mechanism and Machine Theory, vol. 64, p. 39-52.
• 33. Ulukan, L., Özsoy, T. 1973. Dişli Çark Mekanizmaları, İTÜ Makina Fakültesi Makina Elemanları Kürsüsü, İstanbul.
• 34. Chen, C. K., Lai, H. Y., Wu, C. T., Li, T. J. 2001. “A HighPrecision Tool Model for Helical Pinion Cutters,” Imeche Journal of Engineering Manufacture, vol. 215 (2), p. 161-168.
• 35. Hedlund, J., Lehtovaara, A. 2008. “A Parameterized Numerical Method for Generating Discrete Helical Gear Tooth Surface Allowing Non-standard Geometry,” Journal of Mechanical Engineering Science, vol. 222 (6), p. 1033–1038.
• 36. Fetvaci, C. 2011. “Computer Simulation of Helical Gears Generated by Rack-Type Cutters,” Arabian Journal for Science and Engineering, vol. 36 (7), p. 1321-1332.