Tooth contact analysis of involute beveloid gear based on higher-order curve axial modification

Liu, Yongping (author), Chen, Qi (author), Dong, Changbin (author)

This study investigates the tooth flank contact characteristics of a beveloid gear pair through the lens of higher-order curve tooth modification of the involute beveloid gear. The machining coordinate system of the modified gear pair is established, and its tooth surface equations are derived based on the principle of gear meshing and coordinate transformation. In this context, a contact analysis of the modified gear is conducted, examining the impact of varying parameters on the contact trace and contact ellipses, as well as the implications for meshing characteristics in the presence of assembly errors. The findings indicate that the contact form of the high-order curve axial modification of the beveloid gear pair is point contact. Furthermore, the maximum modification magnitude and the order of the modification curve influence the meshing performance of the beveloid gear pair. Additionally, the beveloid gear pair demonstrates enhanced tolerance to the center distance and the axis crossed error, while exhibiting reduced tolerance to the axis intersected error.

• Language: English
• Keywords: involute beveloid gear, higher order curve axial modification, tooth contact analysis, transmission error, assembly error
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: FS - Faculty of Mechanical Engineering
• Publication status: Published
• Publication version: Version of Record
• Year: 2025
• Number of pages: 7 str.
• Numbering: Vol. 71, no. 5/6
• PID: 20.500.12556/RUL-174589
• UDC: 621
• ISSN on article: 2536-3948
• DOI: 10.5545/sv-jme.2024.1254
• COBISS.SI-ID: 251821827
• Publication date in RUL: 06.10.2025

Record is a part of a journal

• Title: Strojniški vestnik
• Shortened title: Stroj. vestn.
• Publisher: Fakulteta za strojništvo
• ISSN: 2536-3948
• COBISS.SI-ID: 294943232

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: Analiza zobnega kontakta evolventnega stožčastega zobnika na osnovi aksialne modifikacije s krivuljo višjega reda

Abstract

V tej raziskavi so preučene kontaktne značilnosti bokov zob evolventnega stožčastega zobniškega para z vidika aksialne modifikacije zobne površine s krivuljo višjega reda. Postavljen je koordinatni sistem obdelave modificiranega zobniškega para, izpeljane pa so tudi enačbe zobnih površin, ki temeljijo na principu zobniškega ubiranja in koordinatnih transformacijah. Izvedena je analiza kontakta modificiranega zobnika, pri čemer so preučeni vplivi spreminjajočih se parametrov na kontaktno sled in kontaktne elipse ter posledice za lastnosti ubiranja ob prisotnosti montažnih napak. Ugotovitve kažejo, da je oblika kontakta pri aksialni modifikaciji s krivuljo višjega reda pri stožčastem zobniškem paru v obliki točke. Poleg tega maksimalna velikost modifikacije in red krivulje modifikacije vplivata na lastnosti ubiranja stožčastega zobniškega para. Stožčasti zobniški par izkazuje izboljšano toleranco glede napake medosne razdalje in napake križanja osi, obenem pa kaže manjšo toleranco do napake presečišča osi.

• Keywords: evolventni stožčasti zobnik, aksialna modifikacija s krivuljo višjega reda, analiza zobnega kontakta, napaka prenosa, napaka pri montaži