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Article

A Fast Integration Method of Analysis and Optimization for the Contact Performance Design of a Face Gear Split-Torque Transmission

1
State Key Laboratory of Precision Manufacturing for Extreme Service Performance, Central South University, Changsha 410083, China
2
AECC Zhongchuan Transmission Machinery Co., Ltd., Changsha 410200, China
3
College of Mechanical and Electrical Engineering, Central South University, Changsha 410083, China
4
AECC Hunan Aviation Powerplant Research Institute, Zhuzhou 412002, China
*
Author to whom correspondence should be addressed.
Mathematics 2025, 13(21), 3519; https://doi.org/10.3390/math13213519
Submission received: 18 July 2025 / Revised: 17 August 2025 / Accepted: 23 September 2025 / Published: 3 November 2025

Abstract

The optimization design of the face gear split-torque transmission (FGST) consumes a lot of modeling and calculation costs. Implementing closed-loop design for data generation optimization improves system design efficiency. However, there are two challenges: firstly, the lack of a mapping method for the tooth surface modification parameters to discrete mesh coordinates, which makes it difficult to generate data samples; secondly, a quantitative representation method for evaluating contact performance has not been proposed, making it difficult to achieve quantitative design. In this paper, we propose a fast integration method of analysis and optimization to the contact performance design of a face gear split-torque transmission. An efficient mapping method from FGST geometric parameters to discrete grids is established to achieve fast data generation. A quantitative evaluation method for contact performance based on image processing has been proposed to achieve rapid optimization. The time required for modeling and optimization is shortened to less than 0.5 h, significantly improving design efficiency.
Keywords: face gear; split-torque transmission; analysis; optimization parameter design face gear; split-torque transmission; analysis; optimization parameter design

Share and Cite

MDPI and ACS Style

Yu, Z.; Tang, Z.; Zhou, Y.; Tang, W.; Tang, J.; Lu, B.; Wu, Z.; Hong, X. A Fast Integration Method of Analysis and Optimization for the Contact Performance Design of a Face Gear Split-Torque Transmission. Mathematics 2025, 13, 3519. https://doi.org/10.3390/math13213519

AMA Style

Yu Z, Tang Z, Zhou Y, Tang W, Tang J, Lu B, Wu Z, Hong X. A Fast Integration Method of Analysis and Optimization for the Contact Performance Design of a Face Gear Split-Torque Transmission. Mathematics. 2025; 13(21):3519. https://doi.org/10.3390/math13213519

Chicago/Turabian Style

Yu, Zhen, Zhongwei Tang, Yuansheng Zhou, Weichen Tang, Jinyuan Tang, Bingquan Lu, Ziheng Wu, and Xiao Hong. 2025. "A Fast Integration Method of Analysis and Optimization for the Contact Performance Design of a Face Gear Split-Torque Transmission" Mathematics 13, no. 21: 3519. https://doi.org/10.3390/math13213519

APA Style

Yu, Z., Tang, Z., Zhou, Y., Tang, W., Tang, J., Lu, B., Wu, Z., & Hong, X. (2025). A Fast Integration Method of Analysis and Optimization for the Contact Performance Design of a Face Gear Split-Torque Transmission. Mathematics, 13(21), 3519. https://doi.org/10.3390/math13213519

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