Optimization design and analysis of internal gear transmission with double contact points

Liang, Dong; Li, Ming; Jiang, Peng; Meng, Sheng

doi:10.1177/09544062231166835

Cited by 3 publications

(2 citation statements)

References 29 publications

(34 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…According to the principle in Liang et al, 18,19 the tooth surface equation of the pinion is solved as follows: where x n t ð Þ and y n t ð Þ are components of the basic tooth profile of the pinion in each axis in the normal plane. The derivative of x n t ð Þ with respect to t and y n t ð Þ with respect to t are x 0 n t ð Þ and y 0 n t ð Þ, respectively.…”

Section: Design Principle Of the Gear Tooth Profilementioning

confidence: 99%

See 1 more Smart Citation

Grinding wheel profile design and temperature field analysis of the pinion for internal meshing gear with curve configuration

Liang,

Hao,

Zhao

et al. 2023

Proceedings of the Institution of Mechanical Engineers, Part C:

Self Cite

View full text Add to dashboard Cite

To further develop the performance testing and practical application of internal meshing gear with curve configuration, the grinding manufacturing method is proposed in this paper. Based on basic principle of internal meshing gear with curve configuration, Newton’s iterative method is used to derive the contact line condition equation during the process of form grinding. Then, the spatial coordinate transformation relationship of the pinion is established, and normal profile of the grinding wheel is derived. An improved transversal algorithm is proposed to analyze the tooth profile error after form grinding simulation, and the results verify the correctness of the designed grinding wheel. A meshing model with single tooth is established. The effects of different parameters on the grinding temperature field under dry and wet grinding conditions are simulated respectively, which will be helpful to the optimization and control of temperature in grinding process. The research results lay the essential theoretical foundation and engineering analysis for practical form grinding applications of the new internal gears. Further study on experimental analysis of grinding manufacturing process of the new tooth surfaces will be carried out.

show abstract

Section: Design Principle Of the Gear Tooth Profilementioning

confidence: 99%

“…According to the principle in Liang et al, 18,19 the tooth surface equation of the pinion is solved as follows:…”

Section: Design Principle Of the Gear Tooth Profilementioning

confidence: 99%

Grinding wheel profile design and temperature field analysis of the pinion for internal meshing gear with curve configuration

Liang,

Hao,

Zhao

et al. 2023

Proceedings of the Institution of Mechanical Engineers, Part C:

Self Cite

View full text Add to dashboard Cite

show abstract

Theoretical derivation and analysis of strength calculation formulas of internal gear pair with double contact points

Liang,

Sun,

2024

Proceedings of the Institution of Mechanical Engineers, Part C:

View full text Add to dashboard Cite

To describing the strength conditions of tooth surfaces of internal gear pair with double contact points (IGPDCP) accurately, theoretical calculation method of the strength of tooth surfaces is proposed in this paper. Theoretical derivation and analysis of strength calculation formulas of the IGPDCP drive are carried out. For contact strength analysis, based on Hertz point contact theory, general calculation idea of contact strength is provided. The main curvature of the active contact line on tooth surfaces of the pinion and internal gear are derived, respectively. Furtherly, according to theoretical calculation and derivation, the formula for calculating the contact strength of the IGPDCP drive is obtained. Orthogonal test method is used to derive the calculation formula of bending strength of the IGPDCP drive, considering test factors include the modulus, tooth number of gear, transmission ratio, helix angle, contact angle, pressure angle, and torque. Nonlinear regression equations of bending stress of the pinion and internal gear are derived, respectively. The discussion of results of contact and bending strength between formula calculation and finite element analysis are present. The conclusions show that the proposed formulas can satisfy theoretical analysis and engineering application.

show abstract

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

Wang,

Zhang,

Tian

et al. 2024

Mathematics

View full text Add to dashboard Cite

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.

show abstract

Optimization design and analysis of internal gear transmission with double contact points

Cited by 3 publications

References 29 publications

Grinding wheel profile design and temperature field analysis of the pinion for internal meshing gear with curve configuration

Grinding wheel profile design and temperature field analysis of the pinion for internal meshing gear with curve configuration

Theoretical derivation and analysis of strength calculation formulas of internal gear pair with double contact points

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

Contact Info

Product

Resources

About