Mathematical Modelling of the Profile Shifted Helical Gears

Yıl 2019, Cilt: 60 Sayı: 697, 337 - 350, 27.12.2019

Mahmut Cüneyt Fetvacı

https://doi.org/10.46399/muhendismakina.678031

Öz

This paper studies the mathematical modelling helical gears manufactured by rack cutters. Based on Litvin’s vector approach the equations that determine the geometries of cutter and generated gears are given. Addendum modification and asymmetric tooth profile are also taken into consideration in the mathematical model. Analytic determination of involute parameter upper limit is investigated. A computer program is developed to generate the tooth profile of involute helical gears and to illustrate the effect of tool geometry on the generated surfaces.

Anahtar Kelimeler

Rack cutter, asymmetric tooth profile

Profil Kaydırmalı Helisel Dişli Çarkların Matematik Modellenmesi

Öz

Bu çalışmada evolvent profilli helisel dişli çarkların kremayer takımla imalatının matematik modellenmesi ele alınmıştır. Litvin’in vektör yaklaşımından hareketle takım ve imal edilen dişli çark geometrisini tayin eden ifadeler verilmiştir. Modellemede profil kaydırma ve asimetrik diş profili de göz önüne alınmıştır. İmal edilen dişlide evolvent bölgenin üst sınırının analitik tayini araştırılmıştır. Bir bilgisayar programı geliştirilerek tasarım parametrelerinin imal edilen dişli geometrisindeki etkileri incelenmiştir.

Anahtar Kelimeler

Kremayer takım, asimetrik diş profili

Kaynakça

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