ASİMETRİK EVOLVENT HELİSEL DİŞLİ ÇARKLARIN BİLGİSAYAR SİMÜLASYONU

Öz

Bu çalışmada kremayer takımla imal edilen asimetrik evolvent profilli helisel dişli çarkların bilgisayarsimülasyonu ele alınmaktadır. Asimetri dişlinin aktif ve arka yanaklarının farklı kavrama açılı olduğunu ifadeeder. Dişli çark teorisi ve kremayer-tipi kesici takım geometrisi esas alınarak aktif, kök ve taban bölgelerini dekapsayan asimetrik evolvent helisel dişlinin tam matematik modeli verilmiştir. İzafi hız ve eş çalışma denklemigöz önüne alınarak dişlinin alttan kesme durumu da incelenmiştir. Asimetrik evolvent profilli helisel dişli çarkprofili oluşturan bir bilgisayar programı geliştirilmiştir.

Anahtar Kelimeler

• Asimetrik evolvent diş, helisel dişli çark, alttan kesme analizi

Kaynakça

1. Kawalec, A., Wiktor, J. ve Ceglarek, D.,
2. “Comparative Analysis of Tooth-Root Strength
3. Using ISO and AGMA Standards in Spur and
4. Helical Gears With FEM-based Verification”,
5. Journal of Mechanical Design, Cilt 128, 1141-
6. , 2006.
7. Muni, D. V., Kumar V.S. ve Muthuveerappan,
8. G., “Optimization of Asymmetric Spur Gear

9. Drives for Maximum Bending Strength Using
10. Direct Gear Design Method”, Mechanics Based
11. Design of Structures and Machines, Cilt 35, No
12. , 127 – 145, 2007.
13. Kapelevich, A., “Geometry and Design of
14. Involute Spur Gears with Asymmetric Teeth”,
15. Mechanism and Machine Theory, Cilt 35, 117-
16. , 2000.
17. Costopoulos T. ve Spitas V., “Reduction of Gear
18. Fillet Stresses by using One-sided Involute
19. Asymmetric Teeth”, Mechanism and Machine
20. Theory, Cilt 37, No 3, 157-182, 2009.
21. Buckingham, E., Analytical Mechanics of
22. Gears, McGraw-Hill, New York, A.B.D., 1949.
23. Salamoun, C. ve Suchy M., “Computation of
24. Helical or Spur Gear Fillets”, Mechanism and
25. Machine Theory, Cilt 8, No 3, 305-323, 1973.
26. Arıkan, M.A.S., “Determination of Maximum
27. Possible Contact Ratios for Spur Gear Drives
28. with Small Number of Teeth”, ASME Design
29. Engineering Technical Conferences, Cilt 82, 569-
30. , 1995.
31. Litvin, F.L., Gear Geometry and Applied
32. Theory, Prentice Hall, New Jersey, A.B.D, 1994
33. Litvin, F.L. ve Fuentes, A., Gear Geometry and
34. Applied Theory, Cambridge University Press,
35. New York, A.B.D., 2004.
36. Tsay, C.-B., “Helical Gears with Involute Shaped
37. Teeth: Geometry, Computer Simulation, Tooth
38. Contact Analysis, and Stress Analysis”, ASME J.
39. Mech. Transm. Autom. Des., Cilt 110, 482-491,
40. -
41. Litvin, F.L., Lu, J., Townsend, D.P. ve Howkins,
42. M., “Computerized Simulation of Meshing of
43. Conventional Helical Involute Gears and
44. Modification of Geometry”, Mechanism and
45. Machine Theory, Cilt 34, 123-147, 1999.
46. Liu, C.-C. ve Tsay, C.-B., “Tooth Undercutting
47. of Beveloid Gears”, ASME Journal of
48. Mechanical Design, Cilt 123, 569-576, 2001.
49. Tseng, R.-T. ve Tsay, C.-B., “Mathematical
50. Model and Undercutting of Cylindrical Gears
51. with Curvilinear Shaped Teeth”, Mechanism
52. and Machine Theory, Cilt 36, 1189-1202, 2001.
53. Brauer, J., “A General Finite Element Model of
54. Involute Gears”, Finite Elements in Analysis
55. and Design, 40, 1857-1872, 2004.
56. Chen, C.-F. ve Tsay, C.-B., “Tooth Profile
57. Design for the Manufacture of Helical Gear Sets
58. with Small Numbers of Teeth”, Int. J. of
59. Machine Tools and Manufacture, Cilt 45, No
60. -13, 1531-1541, 2005.
61. Yang, S.-C., “Mathematical Model of a Helical
62. Gear with Asymmetric Involute Teeth and Its
63. Analysis”, Int. J. Adv. Manuf. Technol., Cilt
64. , No 5-6, 448-456, 2005.
65. Li, J.-L. ve Chiou, S.-T., “Surface Design and
66. Tooth Contact Analysis of an Innovative
67. Modified Spur Gear with Crowned Teeth”,
68. Journal of Mechanical Engineering Science,
69. Cilt 219, No 3, s. 193-207, 2005.
70. Fetvacı, C. ve İmrak, C., “Mathematical Model of
71. a Spur Gear with Asymmetric Involute Teeth and
72. Its Cutting Simulation”, Mechanics Based
73. Design of Structures and Machines, Cilt 36,
74. No1, 34- 46, 2008.
75. Fetvacı, C. ve İmrak, C.E., “Kremayer Takım ile
76. Evolvent Düz Dişli Çarkların İmalat
77. Simulasyonu”, Mühendis ve Makina, Cilt 48,
78. No 572, 9-15, 2007.
79. ISO53 Cylindirical Gears for General and Heavy
80. Engineering-Basic Rack, International
81. Organization for Standartization, Switzerland,
82. -
83. Maitra, G.M., Handbook of Gear Design, Tata
84. McGraw-Hill, New Delhi, India, 2000.