A modified approach to the rack generation of beveloid gears

Şentürk, Berat Gürcan (author), Fetvacı, Mahmut Cüneyt (author)

The purpose of this paper is to present an easier and more efficient method for the determination of the geometry of a bevelled gear tooth. Based on a method that provides an easier way for the rack generation of involute helical gears, the mathematical model of a beveloid gear is studied. The mathematical procedure for developing two-dimensional cross-sections has been extended to three-dimensional gear models. A computer programme is developed to obtain generating and generated surfaces. The proposed algorithm is compared with the previous studies for verification and validation. The results demonstrate that the coordinates obtained from the given method are nearly the same on the start and end points of the main gear parts, such as the involute and root fillets regions. Also, between the limits, the values can be considered acceptable. A coordinate deviation of the gear profile has been observed in the mathematical model, because of the profile shift. Modifications have been developed in the equations to eliminate these cases. The main advantage of the proposed method is to obtain mathematical models without carrying out some of the calculation steps used in previous studies. Eventually, this feature will provide an easier and faster method to develop computer-aided models of the beveloid gear types.

• Language: English
• Keywords: beveloid gears, mathematical modelling, rack-type cutters, parametric modelling, involute profile
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: FS - Faculty of Mechanical Engineering
• Publication status: Published
• Publication version: Version of Record
• Year: 2024
• Number of pages: Str. 80-91
• Numbering: Vol. 70, no. 1/2
• PID: 20.500.12556/RUL-154815
• UDC: 621.8:519.6
• ISSN on article: 0039-2480
• DOI: 10.5545/sv-jme.2023.722
• COBISS.SI-ID: 187498499
• Publication date in RUL: 04.03.2024

Record is a part of a journal

• Title: Strojniški vestnik
• Shortened title: Stroj. vestn.
• Publisher: Zveza strojnih inženirjev in tehnikov Slovenije [etc.], = Association of Mechanical Engineers and Technicians of Slovenia [etc.
• ISSN: 0039-2480
• COBISS.SI-ID: 762116

Licences

• License: CC BY 4.0, Creative Commons Attribution 4.0 International
• Link: http://creativecommons.org/licenses/by/4.0/
• Description: This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.

Secondary language

• Language: Slovenian
• Title: Prilagojen pristop h generiranju zobnic za beveloidne zobnike
• Keywords: beveloidni zobniki, matematično modeliranje, orodja v obliki zobnice, parametrično modeliranje, evolventni profil, analiza spodrezanja