General Mathematical Model of the Intersecting Cross-axis Gear based on Conjugate Curve

In order to solve the problem that it is difficult to complete the full period contact characteristic control of the intersecting cross-axis gear based on the traditional conjugate surfaces meshing theory, a design and analysis method of the intersecting cross-axis gear based on conjugate curves is...

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Main Authors: Shuhong Liu, Rulong Tan, Xiaodong Guo
Format: Article
Language:zho
Published: Editorial Office of Journal of Mechanical Transmission 2020-11-01
Series:Jixie chuandong
Subjects:
Online Access:http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2020.11.007
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author Shuhong Liu
Rulong Tan
Xiaodong Guo
author_facet Shuhong Liu
Rulong Tan
Xiaodong Guo
author_sort Shuhong Liu
collection DOAJ
description In order to solve the problem that it is difficult to complete the full period contact characteristic control of the intersecting cross-axis gear based on the traditional conjugate surfaces meshing theory, a design and analysis method of the intersecting cross-axis gear based on conjugate curves is proposed. In this method, differential geometry and gear kinematics and the conjugate curves meshing theory are applied to deduce the general mathematical model of the conjugate curves intersecting cross-axis gear. The tooth surface curvature analysis and meshing analysis of gear model is carried out and an example is given. The research results have certain guiding significance for the design and manufacture of overload and high-efficiency intersecting cross-axis gear.
format Article
id doaj-art-be8b28af48ad458fa0f8f8d5f49c95f3
institution Kabale University
issn 1004-2539
language zho
publishDate 2020-11-01
publisher Editorial Office of Journal of Mechanical Transmission
record_format Article
series Jixie chuandong
spelling doaj-art-be8b28af48ad458fa0f8f8d5f49c95f32025-01-10T14:55:07ZzhoEditorial Office of Journal of Mechanical TransmissionJixie chuandong1004-25392020-11-0144414829792812General Mathematical Model of the Intersecting Cross-axis Gear based on Conjugate CurveShuhong LiuRulong TanXiaodong GuoIn order to solve the problem that it is difficult to complete the full period contact characteristic control of the intersecting cross-axis gear based on the traditional conjugate surfaces meshing theory, a design and analysis method of the intersecting cross-axis gear based on conjugate curves is proposed. In this method, differential geometry and gear kinematics and the conjugate curves meshing theory are applied to deduce the general mathematical model of the conjugate curves intersecting cross-axis gear. The tooth surface curvature analysis and meshing analysis of gear model is carried out and an example is given. The research results have certain guiding significance for the design and manufacture of overload and high-efficiency intersecting cross-axis gear.http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2020.11.007Conjugate curve contactIntersecting cross-axis gear transmissionMathematical modelTooth surface curvature analysisTooth surface meshing analysis
spellingShingle Shuhong Liu
Rulong Tan
Xiaodong Guo
General Mathematical Model of the Intersecting Cross-axis Gear based on Conjugate Curve
Jixie chuandong
Conjugate curve contact
Intersecting cross-axis gear transmission
Mathematical model
Tooth surface curvature analysis
Tooth surface meshing analysis
title General Mathematical Model of the Intersecting Cross-axis Gear based on Conjugate Curve
title_full General Mathematical Model of the Intersecting Cross-axis Gear based on Conjugate Curve
title_fullStr General Mathematical Model of the Intersecting Cross-axis Gear based on Conjugate Curve
title_full_unstemmed General Mathematical Model of the Intersecting Cross-axis Gear based on Conjugate Curve
title_short General Mathematical Model of the Intersecting Cross-axis Gear based on Conjugate Curve
title_sort general mathematical model of the intersecting cross axis gear based on conjugate curve
topic Conjugate curve contact
Intersecting cross-axis gear transmission
Mathematical model
Tooth surface curvature analysis
Tooth surface meshing analysis
url http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2020.11.007
work_keys_str_mv AT shuhongliu generalmathematicalmodeloftheintersectingcrossaxisgearbasedonconjugatecurve
AT rulongtan generalmathematicalmodeloftheintersectingcrossaxisgearbasedonconjugatecurve
AT xiaodongguo generalmathematicalmodeloftheintersectingcrossaxisgearbasedonconjugatecurve