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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.

REFERENCES

References: 

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