Establishment of an Analytical Model for Determining Leakage Surfaces in an External Tooth Spur Gear

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Choupo Wankam Gervé
Choupo Wankam Gervé
σ
Tchotang Théodore
Tchotang Théodore
α Université de Yaoundé I Université de Yaoundé I

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Establishment of an Analytical Model for Determining Leakage Surfaces in an External Tooth Spur Gear

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Abstract

In gear power transmission systems, the lubricant helps reduce friction, wear of parts in contact, cooling of surfaces, reduction of operating noise, protection of components against corrosion, etc. In spite of that, the lubricant entrapment in the gears inter-tooth space generates substantial energy losses at very high rotational speeds. The best optimization of these energy losses requires the preliminary knowledge of the behavior of leakage surfaces of trapped lubricant during the gears rotation. The aim of this work is to develop a purely analytical model enabling to calculate the exact values of the axial and radial leakage surfaces of the lubricant in the inter-tooth space of external spur gears as well as the volumes of the pockets. From the modeling of the tooth profile and the parametric equations relating to external spur gears, we have developed a purely analytical model of the lubricant leakage surfaces in the inter-tooth space as a function of the angle of rotation.

References

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Choupo Wankam Gervé. 2026. \u201cEstablishment of an Analytical Model for Determining Leakage Surfaces in an External Tooth Spur Gear\u201d. Global Journal of Research in Engineering - A : Mechanical & Mechanics GJRE-A Volume 22 (GJRE Volume 22 Issue A2): .

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Optimized for research on gear transmission systems, leakage surfaces, and gear wear analysis.
Journal Specifications

Crossref Journal DOI 10.17406/gjre

Print ISSN 0975-5861

e-ISSN 2249-4596

Keywords
Classification
GJRE-A Classification: FOR Code: 050599
Version of record

v1.2

Issue date

August 30, 2022

Language
en
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Published Article

In gear power transmission systems, the lubricant helps reduce friction, wear of parts in contact, cooling of surfaces, reduction of operating noise, protection of components against corrosion, etc. In spite of that, the lubricant entrapment in the gears inter-tooth space generates substantial energy losses at very high rotational speeds. The best optimization of these energy losses requires the preliminary knowledge of the behavior of leakage surfaces of trapped lubricant during the gears rotation. The aim of this work is to develop a purely analytical model enabling to calculate the exact values of the axial and radial leakage surfaces of the lubricant in the inter-tooth space of external spur gears as well as the volumes of the pockets. From the modeling of the tooth profile and the parametric equations relating to external spur gears, we have developed a purely analytical model of the lubricant leakage surfaces in the inter-tooth space as a function of the angle of rotation.

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Establishment of an Analytical Model for Determining Leakage Surfaces in an External Tooth Spur Gear

Choupo Wankam Gervé
Choupo Wankam Gervé Université de Yaoundé I
Tchotang Théodore
Tchotang Théodore

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