journal article·2022-01-14Open access

Design and Analysis for Hypoid Gears with Ease-Off Flank Modification

Qin Wang, Jinke Jiang, Hua Chen, Junwei Tian, Yu Su, Junde Guo

Applied Sciences· Volume 12· Issue 2

Abstract

An approach of ease-off flank modification for hypoid gears was proposed to improve the meshing performance of automobile drive axle. Firstly, a conjugate pinion matching with gear globally was developed based on gear meshing theory. Secondly, a modified pinion was represented by a sum of two vector functions determining the conjugate pinion and the normal ease-off deviations expressed by both predesigned transmission error function and tooth profile modification curves to change the initial contact clearance of the tooth. Thirdly, the best ease-off deviations were determined by optimizing the minimum amplitude of loaded transmission error (ALTE) based on tooth contact analysis (TCA) and loaded tooth contact analysis (LTCA). Finally, the results show that effective contact ratios (εe) are established by clearances both teeth space and of contact elliptical, and greatly affect ALTE. The εe is a variable value with increasing loads for the tooth with modification. ALTE decreases with increasing εe. After εe reaches the maximum, ALTE increases with increasing loads. The mismatch of the best ease-off tooth is minimal, which contributes to effective reduction in ALTE, thus significantly improving drive performance.
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Research context

OpenAlex topics: Gear and Bearing Dynamics Analysis · Tribology and Lubrication Engineering · Mechanical Engineering and Vibrations Research

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

School of Mechatronic Engineering, Xi’an Technological University, Xi’an 710021, China

Key Laboratory of Automotive Transportation Safety Techniques of Ministry of Transport, School of Automotive, Chang’an University, Xi’an 710064, China

National United Engineering Laboratory for Advanced Bearing Tribology, Henan University of Science and Technology, Luoyang 471023, China

Funding

Natural Science Basic Research Plan in Shaanxi Province of China · Key Science, Technology Program of Shaanxi Province · Project National United Engineering Laboratory for Advanced Bearing Tribology

References (31)

Show source-provided references
1. Litvin, F.L., and Fuentes, A. (2004). Gear Geometry and Applied Theory, Cambridge University Press. [2nd ed.].10.1017/CBO9780511547126 ↗
2. Analysis of transmission errors under load of helical gears with modified tooth surfaces10.1115/1.2828773 ↗
3. Litvin, F.L., and Zhang, Y. (1991). Local Synthesis and Tooth Contact Analysis of Face-Milled Spiral Bevel Gears, Illinois Univ at Chicago Circle.
4. The ultimate motion graph10.1115/1.1286124 ↗
5. Fourth-Order Kinematic Synthesis for Face-Milling Spiral Bevel Gears. With Modified Radial Motion (MRM) Correction10.1115/1.2168466 ↗
6. Meshing analysis of spiral bevel gear based on transmission error design
7. Design method of point meshing tooth surface based on predetermined meshing characteristics
8. Topological structure design of high order transmission error tooth surface of aviation spiral bevel gear based on conjugate tooth surface modification
9. Global synthesis for face milled spiral bevel gears with zero transmission errors10.1115/1.4032471 ↗
10. The optimal design of HGT hypoid gear bearing transmission error
11. Conjugated action and methods for crowning in face-hobbed spiral bevel and hypoid gear drives through the spirac system10.1016/j.mechmachtheory.2019.04.011 ↗
12. A mathematical model for grinding a stick blade profile to cut hypoid gears10.1115/1.4045245 ↗
13. Tooth surface error correction for face-hobbed hypoid gears10.1115/1.4000646 ↗
14. Flank correction for spiral bevel and hypoid gears on a six-axis CNC hypoid gear generator10.1115/1.2890112 ↗
15. Generation of hypoid gears on CNC hypoid generator10.1115/1.4005232 ↗
16. Mathematical Model of a Vertical Six-Axis Cartesian Computer Numerical Control Machine for Producing Face-Milled and Face-Hobbed Bevel Gears10.1115/1.4044433 ↗
17. Machine-tool settings driven high-order topology optimization to grinding tooth flank by considering loaded tooth contact pattern for spiral bevel gears10.1016/j.ijmecsci.2019.105397 ↗
18. Ease-off based compensation of tooth surface deviations for spiral bevel and hypoid gears: Only the pinion needs corrections10.1016/j.mechmachtheory.2012.10.005 ↗
19. An ease-off based method for loaded tooth contact analysis of hypoid gears having local and global surface deviations10.1115/1.4001722 ↗
20. A novel ease-off flank modification methodology for spiral bevel and hypoid gears10.1016/j.mechmachtheory.2010.03.010 ↗
21. An ease-off based optimization of the loaded transmission error of hypoid gears10.1115/1.4000645 ↗
22. High precision profile modification of spiral bevel gears
23. A multi-objective correction of machine settings considering loaded tooth contact performance in spiral bevel gears by nonlinear interval number optimization10.1016/j.mechmachtheory.2017.02.006 ↗
24. Multi-objective optimization of hypoid gears to improve operating characteristics10.1016/j.mechmachtheory.2019.103727 ↗
25. Multi-Objective Ease-Off Optimization of Hypoid Gears for Their Efficiency, Noise, and Durability Performances10.1115/1.4005234 ↗
26. Based on Ease-off for sectional modification method of spiral bevel gear tooth surface
27. An active ease-off topography modification approach for hypoid pinions based on a modified error sensitivity analysis method10.1115/1.4043206 ↗
28. On the modelling of gear alignment errors in the tooth contact analysis of spiral bevel gears10.1016/j.mechmachtheory.2020.104065 ↗
29. On the third law of gearing: A study on hypoid gear tooth contact10.1016/j.mechmachtheory.2018.12.010 ↗
30. Ma, Z.Y. (2015). Contact Analysis of Spiral Bevel Gears Based on Ease-off Topological Surface, Henan University of Science and Technology.
31. Fan, Q. (2016). Ease-Off and Application in Tooth Contact Analysis for Face-Milled and Face-Hobbed Spiral Bevel and Hypoid Gears. Theory and Practice of Gearing and Transmissions, Springer.10.1007/978-3-319-19740-1_15 ↗