Journals / Uludağ Üniversitesi Mühendislik Fakültesi Dergisi / 2016 / Cilt: 21 - Sayı: 1

Mathematical Modelling of Involute Spur Gears Manufactured by Rack Cutter

KREMAYER TİPİ KESİCİ TAKIMLA İMAL EDİLMİŞ EVOLVENT DÜZ DİŞLİ ÇARKLARIN MATEMATİK MODELLENMESİ

Pages
177–188
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Mathematical expressions were modelled in MATLAB and output files including points of involute spur gear’s teeth were designed automatically thanks to macros.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, mathematical modelling of asymmetric involute spur gears was situated in by Litvin approach.
📊
Key Findings & Data:In this context, firstly, mathematical expressions of rack cutter which manufacture asymmetric involute spur gear, then mathematical expression of asymmetric involute spur gear were obtained by using differential geometry, coordinate transformation and gear theory.
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Conclusion & Impact:Mathematical expressions were modelled in MATLAB and output files including points of involute spur gear’s teeth were designed automatically thanks to macros.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Evolvent Düz Dişli Çarklar · Matematik Modelleme · MATLAB

Abstract

In this study, mathematical modelling of asymmetric involute spur gears was situated in by Litvin approach. In this context, firstly, mathematical expressions of rack cutter which manufacture asymmetric involute spur gear, then mathematical expression of asymmetric involute spur gear were obtained by using differential geometry, coordinate transformation and gear theory. Mathematical expressions were modelled in MATLAB and output files including points of involute spur gear’s teeth were designed automatically thanks to macros.

Özet

Bu çalışmada asimetrik evolvent düz dişli çarkların Litvin’ in yaklaşımından hareketle matematik modellenmesi yer almaktadır. Bu kapsamda önce asimetrik evolvent düz dişli çarkı imal eden kremayer tipi kesici takımın matematik olarak ifadesi ve sonra diferansiyel geometri, eş çalışma ve dişli ana kanununu kullanarak kremayer tipi kesici takımın imal ettiği asimetrik evolvent düz dişli çarkların matematik olarak ifadesi elde edilmiştir. Matematik ifadeler MATLAB programında modellenmiş ve program çıktısı olan diş noktaları CATIA programının okuyabileceği dosyalar haline getirilmiştir. CATIA programına alınan noktalardan üç boyutlu tasarım tamamlanmıştır.

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Cite This Article

YILMAZ, T. G., GÜLLÜ, E. (2016). Mathematical Modelling of Involute Spur Gears Manufactured by Rack Cutter. Uludağ Üniversitesi Mühendislik Fakültesi Dergisi, Cilt: 21 - Sayı: 1, 177–188. https://ajindex.com/articles/330169

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References (7)

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