Research of the Tooth Flank Design and Movement Simulation of Spiral Noncircular Bevel Gear

Applied the theory of curve and surface of differential geometry,based on the noncircular bevel gear profile researched and developed successfully by research team. The construction principle of the tooth section line of the spiral noncircular bevel gear is studied. Based on the mapping method,the m...

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Main Authors: Xu Aifen, Jia Jumin, Chen Yuqing
Format: Article
Language:zho
Published: Editorial Office of Journal of Mechanical Transmission 2017-01-01
Series:Jixie chuandong
Subjects:
Online Access:http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2017.08.027
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author Xu Aifen
Jia Jumin
Chen Yuqing
author_facet Xu Aifen
Jia Jumin
Chen Yuqing
author_sort Xu Aifen
collection DOAJ
description Applied the theory of curve and surface of differential geometry,based on the noncircular bevel gear profile researched and developed successfully by research team. The construction principle of the tooth section line of the spiral noncircular bevel gear is studied. Based on the mapping method,the mathematical model of the tooth section line of the spiral noncircular bevel gear is built. On the basis of the theory and algorithm of osculating planes,the solid model of the spiral noncircular bevel gear is built. The solid model of another spiral noncircular bevel gear is built according to the enveloping principle. The correctness of the algorithm and the model is verified by the kinematics simulation results. The research results provide theoretical and technical support for the improvement and innovation of the design and meshing theory of the spiral noncircular bevel gear in the variable ratio limited slip differential.
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spelling doaj.art-c7e66223fa574aa5b6a196a5bb814d562025-01-10T14:22:01ZzhoEditorial Office of Journal of Mechanical TransmissionJixie chuandong1004-25392017-01-014112813229932066Research of the Tooth Flank Design and Movement Simulation of Spiral Noncircular Bevel GearXu AifenJia JuminChen YuqingApplied the theory of curve and surface of differential geometry,based on the noncircular bevel gear profile researched and developed successfully by research team. The construction principle of the tooth section line of the spiral noncircular bevel gear is studied. Based on the mapping method,the mathematical model of the tooth section line of the spiral noncircular bevel gear is built. On the basis of the theory and algorithm of osculating planes,the solid model of the spiral noncircular bevel gear is built. The solid model of another spiral noncircular bevel gear is built according to the enveloping principle. The correctness of the algorithm and the model is verified by the kinematics simulation results. The research results provide theoretical and technical support for the improvement and innovation of the design and meshing theory of the spiral noncircular bevel gear in the variable ratio limited slip differential.http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2017.08.027Variable ratioNoncircular bevel gearTooth section lineMathematical modelsMovement simulation
spellingShingle Xu Aifen
Jia Jumin
Chen Yuqing
Research of the Tooth Flank Design and Movement Simulation of Spiral Noncircular Bevel Gear
Jixie chuandong
Variable ratio
Noncircular bevel gear
Tooth section line
Mathematical models
Movement simulation
title Research of the Tooth Flank Design and Movement Simulation of Spiral Noncircular Bevel Gear
title_full Research of the Tooth Flank Design and Movement Simulation of Spiral Noncircular Bevel Gear
title_fullStr Research of the Tooth Flank Design and Movement Simulation of Spiral Noncircular Bevel Gear
title_full_unstemmed Research of the Tooth Flank Design and Movement Simulation of Spiral Noncircular Bevel Gear
title_short Research of the Tooth Flank Design and Movement Simulation of Spiral Noncircular Bevel Gear
title_sort research of the tooth flank design and movement simulation of spiral noncircular bevel gear
topic Variable ratio
Noncircular bevel gear
Tooth section line
Mathematical models
Movement simulation
url http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2017.08.027
work_keys_str_mv AT xuaifen researchofthetoothflankdesignandmovementsimulationofspiralnoncircularbevelgear
AT jiajumin researchofthetoothflankdesignandmovementsimulationofspiralnoncircularbevelgear
AT chenyuqing researchofthetoothflankdesignandmovementsimulationofspiralnoncircularbevelgear