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

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...

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Main Authors: Qin Wang, Jinke Jiang, Hua Chen, Junwei Tian, Yu Su, Junde Guo
Format: Article
Language:English
Published: MDPI AG 2022-01-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/12/2/822
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author Qin Wang
Jinke Jiang
Hua Chen
Junwei Tian
Yu Su
Junde Guo
author_facet Qin Wang
Jinke Jiang
Hua Chen
Junwei Tian
Yu Su
Junde Guo
author_sort Qin Wang
collection DOAJ
description 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 (<i>ε<sub>e</sub></i>) are established by clearances both teeth space and of contact elliptical, and greatly affect ALTE. The <i>ε<sub>e</sub></i> is a variable value with increasing loads for the tooth with modification. ALTE decreases with increasing <i>ε<sub>e</sub></i>. After <i>ε<sub>e</sub></i> 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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spelling doaj.art-7adedb15709944829874c9a06296604f2023-11-23T12:53:25ZengMDPI AGApplied Sciences2076-34172022-01-0112282210.3390/app12020822Design and Analysis for Hypoid Gears with Ease-Off Flank ModificationQin Wang0Jinke Jiang1Hua Chen2Junwei Tian3Yu Su4Junde Guo5School of Mechatronic Engineering, Xi’an Technological University, Xi’an 710021, ChinaKey Laboratory of Automotive Transportation Safety Techniques of Ministry of Transport, School of Automotive, Chang’an University, Xi’an 710064, ChinaSchool of Mechatronic Engineering, Xi’an Technological University, Xi’an 710021, ChinaSchool of Mechatronic Engineering, Xi’an Technological University, Xi’an 710021, ChinaSchool of Mechatronic Engineering, Xi’an Technological University, Xi’an 710021, ChinaSchool of Mechatronic Engineering, Xi’an Technological University, Xi’an 710021, ChinaAn 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 (<i>ε<sub>e</sub></i>) are established by clearances both teeth space and of contact elliptical, and greatly affect ALTE. The <i>ε<sub>e</sub></i> is a variable value with increasing loads for the tooth with modification. ALTE decreases with increasing <i>ε<sub>e</sub></i>. After <i>ε<sub>e</sub></i> 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.https://www.mdpi.com/2076-3417/12/2/822hypoid gearease-off modifiedALTELTCAeffective contact ratio
spellingShingle Qin Wang
Jinke Jiang
Hua Chen
Junwei Tian
Yu Su
Junde Guo
Design and Analysis for Hypoid Gears with Ease-Off Flank Modification
Applied Sciences
hypoid gear
ease-off modified
ALTE
LTCA
effective contact ratio
title Design and Analysis for Hypoid Gears with Ease-Off Flank Modification
title_full Design and Analysis for Hypoid Gears with Ease-Off Flank Modification
title_fullStr Design and Analysis for Hypoid Gears with Ease-Off Flank Modification
title_full_unstemmed Design and Analysis for Hypoid Gears with Ease-Off Flank Modification
title_short Design and Analysis for Hypoid Gears with Ease-Off Flank Modification
title_sort design and analysis for hypoid gears with ease off flank modification
topic hypoid gear
ease-off modified
ALTE
LTCA
effective contact ratio
url https://www.mdpi.com/2076-3417/12/2/822
work_keys_str_mv AT qinwang designandanalysisforhypoidgearswitheaseoffflankmodification
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AT huachen designandanalysisforhypoidgearswitheaseoffflankmodification
AT junweitian designandanalysisforhypoidgearswitheaseoffflankmodification
AT yusu designandanalysisforhypoidgearswitheaseoffflankmodification
AT jundeguo designandanalysisforhypoidgearswitheaseoffflankmodification