Profil Kaydırmalı Silindirik Evolvent Dişli Çarkların Matematik Modellenmesi

Abstract

Bu çalışmada kremayer takımla imal edilen evolvent profilli dişli çark mekanizmalarının modellenmesi ele alınmıştır. Dişli teorisi ve imalat metodundan hareketle profil kaydırmalı pinyon ve çarkın tam matematik modeli verilmiştir. Asimetrik diş profile de göz önüne alınmıştır. Bir bilgisayar programı geliştirilerek profil kaydırmanın imal edilen dişli geometrisindeki etkileri incelenmiştir. Sayısal uygulamalar matematik modelin ve programlamanın doğrulunuğu ve geçerliliğini göstermiştir.

Keywords

• Evolvent Profil,Profil Kaydırmalı Dişliler,Kremayer Takım

Mathematical Modelling of Profile-Shifted Cylindrical Involute Gears

Abstract

This paper studies the equations of involute gears manufactured by rack-type cutters. Based on the gear theory and production method a complete mathematical model of a profile-shifted gear pair is given. Also asymmetric tooth profile is considered. A computer simulation program is developed to investigate the effect of profile shifting on the generated teeth surfaces. Numerical examples demonstrate the verification and validation of the simulation model.

Keywords

• Involute profile,profile-shifted gears,rack cutter

References

1. [1] Juvinall, R.C. and Marshek, K.M., “Machine Component Design”, John Wiley & Sons, ISBN 9781118092262, Singapore , (2012).
2. [2] Jelaska, D. T., “Gears and Gear Drives”, John Wiley & Sons, West Sussex, (2012).
3. [3] Tsay, C.-B., “Helical gears with Involute shaped teeth: geometry, computer simulation, tooth contact analysis and stress analysis”, ASME Journal of Mechanical Design, 110: 482–491, (1988).
4. [4] Chen, C.-F. and Tsay, C.-B., “Tooth profile design for the manufacture of helical gear sets with small numbers of teeth”, International Journal of Machine Tools and Manufacture, 45: 1531-1541, (2005).[5] Yang, S.-C., “Mathematical model of a helical gear with asymmetric involute teeth and its analysis”, International Journal of Advanced Manufacturing Technology, 26: 448-456, (2005).
5. [6] Liu, C.C. and Tsay, C.-B., “Tooth undercutting of beveloid gears”, ASME Journal of Mechanical Design, 123 : 569–576, (2001).
6. [7] Brauer, J., “A general finite element model of involute gears”, Finite Elements in Analysis and Design, 40: 1857-1872, (2004).
7. [8] Huang, K. J. and Su, H. W., “Approaches to parametric element constructions and dynamic analyses of spur/helical gears including modifications and undercutting”, Finite Elements in Analysis and Design, 46: 1106-1113, (2010).
8. [9] Ulukan, L., “Makina Elemanları Dersleri: Tashihli Dişliler”, İTÜ Makina Fakültesi, İstanbul, (1970).

9. [10] Bair, B. -W., “Computer aided design of non-standard elliptical gear drives”, Imeche Journal of Mechanical Engineering Science, 216: 473-482, (2002).
10. [11] Fetvaci, M. C., “Determination of effective involute parameter limit in generation simulation of gears manufactured by rack-type cutters”, Mechanics & Industry, 18 : 405, (2017).
11. [12] Yang, S. -C., “Meshing analysis of a gear with a ring-involute gear”, Imeche Journal of Mechanical Engineering Science, 217: 1287-1299, (2003).
12. [13] Litvin, F.L., “Gear Geometry and Applied Theory”, Prentice Hall, New Jersey, (1994).
13. [14] Kabus, K., “Decker Maschinenelemente: Funktion, Gestaltung und Berechnung”, Carl Hanser Verlag, München, (2016). ISBN : 3-446-21525-5
14. [15] Şekercioğlu, T., “Makine Elemanları: Çözümlü Problemler”, Birsen Yayınevi, İstanbul, (2019). ISBN : 978-975-511-602-0