Düz dişlilerde kavrama çevriminde gerilmelerin değişiminin sonlu eleman metodu ile incelenmesi

Genel amaçlı sonlu eleman yazılımları sonlu elemanlar metodunun dişdibi gerilme analizine uygulanmasını kolaylaştırmıştır. Bu çalışmada ANSYS yazılımının parametrik programlama lisanı kullanılarak düz dişli çark sonlu eleman modeli elde edilmiştir. Modellemede en önemli husus çözüm bölgesinin sınırlarının tayinidir: Yazarlar literatürdeki modellerden hareketle yeni bir dişli çark sonlu eleman modeli geliştirmişlerdir. Geliştirilen model düz dişlilerde kavrama çevriminde gerilme değişiminin incelenmesi için uygundur. Çeşitli haller için analiz neticeleri grafikler ile takdim edilmiştir.

The application of finite element method to gear tooth stress analysis can be performed easily with the help of the commercial multi-purpose FEA software. In this study, the finite element model of a spur gear tooth is developed by using the parametric design language of ANSYS Software. ln the finite element modeling of gear drivers, it is important to determine the contour delimitation of the problem. The authors, adapted the contour delimitation and applied boundary conditions suggested by other researchers in literature, and proposed a new finite element gear mesh pattern. The proposed model, as shown with given illustrations, is suitable for investigations of bending stress analysis of spur gears during the engagement cycle.

Kaynakça

1. Errichello, R., Review on Gears, ASME Journal of Mechanical Design, Vol.105, 283-284, 1983. 2. Wilcox ,L., Coleman, W., Application of Finite Elements to the Analysis of Gear Tooth Stresses, ASME Journal of Engineering for Industry,Vol. 95,1139-1148,1973. 3. Chabert, G., Tran, T.D., Mathis, R., An Evaluation of Stresses and Deflection of Spur Gear Teeth Under Strain", ASME Journal of Engineering for Industry, Vol.96, 85-93, 1974. 4. Tobe, T., Kato, M., Inoue, K., True Stress and Stifness of Spur Gear Teeth , ASME Proc. of the 5th World Cong. on Theory of Machines & Mechanisms, 1105-1108, 1979. 5. Andrews, J.D., A Finite Element Analysis of Bending Stresses Induced in External and Internal Involute Spur Gears, Journal of Strain Analysis, Vol.26, 153-163, 1991. 6. Bibel, G.D., Reddy, S.K., Savage, M., and Handschuh, R.F., Effects of rim thickness on spur gear bending stress, ASME Journal of Mechanical Design, 116, pp. 1157-1162, 1994. 7. Filiz,H., Eyercioğlu, O., Evaluation of Gear Tooth Stresses by Finite Element Method, ASME Journal of Engineering for Industry, 117, 232-239, 1995. 8. Günay, D., Özer, H., Aydemir,A., Düz Dişlilerde Diş Kökü Gerilmelerinin Sonlu Elemanlar Yöntemiyle Analizi, II. Ulusal Hesaplamalı Mekanik Konferansı, 19-28,4-6 Temmuz 1996, Trabzon 9. Brauer, J., A General Finite Element Model of Involute Gears, Finite Element in Analysis and Design, Vol. 40, 13-14,1 857-1872, 2004. 10. Yang, S.C., Mathematical Model of a Helical Gear with Asymmetric Involute Teeth and Its Analysis, Int. J. Adv. Manuf. Technol., 2005, in press. 11. Cavdar, K., Karpat, F., Babalik, F.C., Computer Aided Analysis of Bending Strength of Involute Spur Gears with Asymmetric Profile, Journal of Mechanical Design, Vol. 127, 477-484, 2005 12. Fetvacı, M.C., ANSYS Sonlu Elemanlar Analiz Programı ile Düz Dişli Çarkların Modellenmesi, Mühendis ve Makina, Sayı 474, 41-44, 1999. 13. Fetvacı, C., İmrak, C.E., Dişdibi Gerilmelerinin Analizi İçin Düz Dişli Çarkların Sonlu Eleman Modellenmesi, Gazi Üniversitesi MMF Dergisi, Cilt 19, Sayı 2, 199-203, 2004. 14. Fetvacı, C., İmrak, C.E., The Finite Element Modeling of Spur Gears for Pseudodynamic Stress Analysis, Proceedings of the First Cappadocia International Mechanical Engineering Symposium,Volume III: MECHANICS AND MATERIALS, pp. 826-830,14-16 July 2004, Cappadocia, Nevþehir, Turkey 15. Buckingham, E., Analytical Mechanics of Gears, McGraw- Hill Book Company Inc., New York, 1949 16. Salamoun, C. and Suchy, M., Computation of Helical or Spur Gear Fillets, Mechanism and Machine Theory, 8, 305-323, 1973 17. Litvin, F.L., Gear Geometry and Applied Theory, PTR Prentice Hall, New Jersey, 1994 18. Arıkan, M.A.S., Determination of Maximum Possible Contact Ratios for Spur Gear Drives with Small Number of Teeth, ASME Design Engineering Technical Conferences, 569-576, 1995. 19. Dooner, D., Seireg, A., The Kinematic Geometry of Gearing, McGraw-Hill, New York, 1995 20. Math, V.B., Chand, S., An Approach to the Determination of Spur Gear Tooth Root Fillet, ASME Journal of Mechanical Design, Vol.126, 336-340, 2004 21. ANSYS User's Manual for Revision 5.0, Swanson Analysis Systems, Houston, 1992 22. ANSYS Parametric Design Language, a revision 5.0 tutorial, Swanson Analysis System Inc., Houston, 1992 23. Barkah D., Shafiq B., Dooner D., 3-D Mesh Generation for Static Stress Determination in Spiral Noncircular Gear Used for Torque Balancing, ASME J. of Mech. Design, Vol.124, 313-319, 2002. 24. Sfakiotakis, V.G., Vaitsis, J.P., Anifantis, N.K., Numerical Simulation of Conjugate Gear Action, Computers and Structures, Vol.79, 1153-1160, 2001. 25. Colbourne, J.R., The Geometry of Involute Gears, Springer- Verlag, New Jersey, 1987. 26. Allison, I.M., Hearn, E.J., A New Look at the Bending Strength of Gear Teeth, Experimental Mechanics, Vol. 20, 217-225, 1980.

Kaynak Göster