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ASİMETRİK EVOLVENT DÜZ DİŞLİ ÇARKLARIN MATEMATİK MODELLENMESİ VE İMALAT SİMÜLASYONU

MATHEMATICAL MODELING AND CUTTING SIMULATION OF INVOLUTE SPUR GEARS WITH ASYMMETRIC TEETH

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Abstract (2. Language): 
This paper studies the equations of rack cutters for generating involute gears with asymmetric teeth. The asymmetry means that different pressure angles are applied for driving and coast sides, respectively. By applying the equations of designed profile of rack cutter, the principle of coordinate transformation, the theory of differential geometry, and the theory of gearing, the mathematical model of involute spur gear with asymmetric teeth is given. Trochoidal envelope traced by cutter is also investigated. Computer graphs of asymmetric involute spur gears are presented based on the given model, and also generation simulation is illustrated.
Abstract (Original Language): 
Bu çalışmada asimetrik evolvent profilli düz dişli çarkların bilgisayar simülasyonu için matematik modellenmesi ele alınmaktadır. Asimetri, diş aktif yüzeyinin tahrik ve arka taraflarda farklı açıda dizayn edildiğini ifade eder. Kesici takımın denklemleri, koordinat dönüşüm, diferansiyel geometri ve yuvarlanma prensipleri uygulanarak asimetrik evolvent düz dişli çarkın matematik modeli verilmiştir. Takım ucunun trokoidal yörüngesi de incelenmiştir. Matematiksel ifadeler programlanarak asimetrik dişlilerin bilgisayar simülasyonu gerçekleştirilmiştir. Sonuçlar grafikler ile takdim edilmiştir.
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REFERENCES

References: 

[1] Kawalec, A., Wiktor, J. ve Ceglarek, D., “Comparative Analysis of Tooth-Root Strength
Using ISO and AGMA Standards in Spur and Helical Gears With FEM-based
Verification”, Journal of Mechanical Design, Cilt 128, 1141-1158, 2006.
[2] Vimercati, M., “Mathematical Model for Tooth Surfaces Representation of Face-Hobbed
Hypoid Gears and Its Application to Contact Analysis and Stress Calculation”,
Mechanism and Machine Theory, Cilt 42, No 6, 668-690, 2007.
[3] Buckingham, E., Analytical Mechanics of Gears, McGraw-Hill, New York, A.B.D., 1949.
[4] Salamoun, C. ve Suchy, M., “Computation of Helical or Spur Gear Fillets,” Mechanism
and Machine Theory, Cilt 8, No 3, 305-323, 1973.
[5] Hefeng, B., Savage, M. ve Knorr, R.J., “Computer Modeling of Rack-Generated Spur
Gears”, Mechanism and Machine Theory, Cilt 20, 351-360, 1985.
[6] Arıkan, M.A.S., “Determination of Maximum Possible Contact Ratios for Spur Gear
Drives with Small Number of Teeth”, ASME Design Engineering Technical
Conferences, Cilt 82, 569-576, 1995.
[7] Litvin, F.L. ve Fuentes, A., Gear Geometry and Applied Theory, Cambridge University
Press, Cambridge, 2004.
[8] Tsay, C.-B., “Helical Gears with Involute Shaped teeth: Geometry, Computer Simulation,
Tooth Contact Analysis, and Stress Analysis”, ASME Journal of Mechanical Design, Cilt
110, 482-491,1988.
[9] Yang, S.-C., “Mathematical Model of a Helical Gear with Asymmetric Involute Teeth and
its Analysis”, Int J Adv Manuf Techno , Cilt 26, No 5-6, 448-456, 2005.
[10] Tseng, J.-T. ve Tsay, C.-B., “Mathematical Model and Surface Deviation of Cylindrical
Gears with Curvilinear Shaped Teeth Cut by a Hob Cutter”, Journal of Mechanical
Design, Cilt 127, No 5, 982-987, 2005.
[11] Chen, C.-F. ve 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, Cilt 45, No 12-13, 1531-1541, 2005.
[12] Litvin, F.L., Lian, Q. ve Kapelevich, A.L., “Asymmetric Modified Gear Drives:
Reduction of Noise, Localization of Contact, Simulation of Meshing and Stress Analysis”,
Computer Methods in Applied Mechanics and Engineering, Cilt 188, 363-390, 2000.
[13] Kapelevich, A.L., “Geometry and Design of Involute Spur Gears with Asymmetric
Teeth”, Mechanism and Machine Theory, Cilt 35, 117-130, 2000
[14] Su, X. ve Houser, D.R., “Characteristic of Trochoids and Their Application to
Determining Gear Teeth Fillet Shapes”, Mechanism and Machine Theory, Cilt 35, 291–
304, 2000.
[15] ISO53 (1974) Cylindirical Gears For General and Heavy Engineering-Basic Rack,
International Organization for Standartization , Switzerland
[16] Fetvacı, C. ve İmrak, C.E., “Düz Dişlilerde Kavrama Çevriminde Gerilmelerin
Değişiminin Sonlu Eleman Metodu İle İncelenmesi”, Mühendis ve Makina, Cilt 46, No
545, 19-25, 2005.

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