Mathematical Model and Analysis of Novel Bevel Gear with High Load-Capacity Based on the Geometric Elements

• Published in: Mathematics (Basel) 2024-05, Vol.12 (9), p.1373
• Main Authors: Wang, Dongyu, Zhang, Luhe, Tian, Chao, Miao, Jiacheng, An, Laiqiang, Shi, Jia, Chen, Bingkui
• Format: Article
• Language: English
• Subjects: Analysis; bevel gear; Bevel gears; Contact pressure; Contact stresses; Coordinate transformations; Design and construction; Design techniques; Gear teeth; Gearing, Bevel; geometric elements; Geometrical models; Load; load capacity; Mathematical models; Mechanical properties; Point contact; running performance; transmission efficiency; Velocity
• ISSN: 2227-7390; 2227-7390
• DOI: 10.3390/math12091373

Load-capacity has always been one of the performances that is paid much attention to in the development of bevel gear transmission applications. Consequently, the mathematical model of novel bevel gear with high load-capacity based on geometric elements is proposed in this paper, which could be applied to the aviation, aerospace and other fields. In parallel, the design principle and design method of the novel bevel gear are introduced in detail. Subsequently, the conditions for tooth surface continuity and non-interference are derived. Furthermore, the model of novel bevel gear is established. Finally, the load-bearing characteristics are analyzed, revealing that an increase in the number of contact points could significantly enhance the load capacity of the bevel gear pairs. When the load torque applied to bevel gear II is 100 Nm, the contact pressure endured by the bevel gear pair with five-point contact is decreased by 41.37% compared to the bevel gear pair with single-point contact. When the number of contact points is the same, increasing the distance between the contact points could also reduce the contact stress. This provides strong theoretical support for the application of the bevel gear based on the geometric elements.