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Journals / Politeknik Dergisi / 2020 / Cilt: 23 Sayı: 4

Mathematical Modelling of Profile-Shifted Cylindrical Involute Gears

Profil Kaydırmalı Silindirik Evolvent Dişli Çarkların Matematik Modellenmesi

Mahmut Fetvacı(İstanbul Üniversitesi-Cerrahpaşa Mühendislik Fakültesi)0000-0002-1622-1583
Pages
1339–1346
Publication Date
2020-12-01
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AI Summary & Key Takeaways

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

Numerical examples demonstrate the verification and validation of the simulation model.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This paper studies the equations of involute gears manufactured by rack-type cutters.
📊
Key Findings & Data:A computer simulation program is developed to investigate the effect of profile shifting on the generated teeth surfaces.
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Conclusion & Impact:Numerical examples demonstrate the verification and validation of the simulation model.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Evolvent Profil · Profil Kaydırmalı Dişliler · Kremayer Takım

Abstract

This paper studies the equations of involute gears manufactured by rack-type cutters. Based on the gear theory and production method a complete mathematical model of a profile-shifted gear pair is given. Also asymmetric tooth profile is considered. A computer simulation program is developed to investigate the effect of profile shifting on the generated teeth surfaces. Numerical examples demonstrate the verification and validation of the simulation model.

Özet

Bu çalışmada kremayer takımla imal edilen evolvent profilli dişli çark mekanizmalarının modellenmesi ele alınmıştır. Dişli teorisi ve imalat metodundan hareketle profil kaydırmalı pinyon ve çarkın tam matematik modeli verilmiştir. Asimetrik diş profile de göz önüne alınmıştır. Bir bilgisayar programı geliştirilerek profil kaydırmanın imal edilen dişli geometrisindeki etkileri incelenmiştir. Sayısal uygulamalar matematik modelin ve programlamanın doğrulunuğu ve geçerliliğini göstermiştir.

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Cite This Article

Fetvacı, M. (2020). Mathematical Modelling of Profile-Shifted Cylindrical Involute Gears. Politeknik Dergisi, Cilt: 23 Sayı: 4, 1339–1346. https://doi.org/10.2339/politeknik.570841

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