Research of the Profile Surface Equation of Globoidal Indexing Cam based on Unified Mathematical Expression

Based on the theory of envelopes for the single parameter family of surfaces,the globoidal indexing cams mechanism are calculated and analyzed. The unifi mathematical expressions of the contour surface geometry for globoidal cams with cylindrical,conical,and hyperbolic meshing turret-rollers are der...

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Main Authors: Li Jian, Rao Xiong, Tang Mao, Deng Yuanyuan, Xiong Meiling
Format: Article
Language:zho
Published: Editorial Office of Journal of Mechanical Transmission 2018-01-01
Series:Jixie chuandong
Subjects:
Online Access:http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2018.12.005
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author Li Jian
Rao Xiong
Tang Mao
Deng Yuanyuan
Xiong Meiling
author_facet Li Jian
Rao Xiong
Tang Mao
Deng Yuanyuan
Xiong Meiling
author_sort Li Jian
collection DOAJ
description Based on the theory of envelopes for the single parameter family of surfaces,the globoidal indexing cams mechanism are calculated and analyzed. The unifi mathematical expressions of the contour surface geometry for globoidal cams with cylindrical,conical,and hyperbolic meshing turret-rollers are derived by homogeneous coordinate transformation. The correctness of the method and model is verified by an example. A foundation for the derivation of the expression of pressure angle and main curvature is laid,and a reference for computer aided design and manufacture of spatial cams is provided.
format Article
id doaj-art-fe0b12f2ee084c2e8e392843b410872d
institution Kabale University
issn 1004-2539
language zho
publishDate 2018-01-01
publisher Editorial Office of Journal of Mechanical Transmission
record_format Article
series Jixie chuandong
spelling doaj-art-fe0b12f2ee084c2e8e392843b410872d2025-01-10T14:39:20ZzhoEditorial Office of Journal of Mechanical TransmissionJixie chuandong1004-25392018-01-0142232829939768Research of the Profile Surface Equation of Globoidal Indexing Cam based on Unified Mathematical ExpressionLi JianRao XiongTang MaoDeng YuanyuanXiong MeilingBased on the theory of envelopes for the single parameter family of surfaces,the globoidal indexing cams mechanism are calculated and analyzed. The unifi mathematical expressions of the contour surface geometry for globoidal cams with cylindrical,conical,and hyperbolic meshing turret-rollers are derived by homogeneous coordinate transformation. The correctness of the method and model is verified by an example. A foundation for the derivation of the expression of pressure angle and main curvature is laid,and a reference for computer aided design and manufacture of spatial cams is provided.http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2018.12.005Globoidal indexing camTheory of envelopeProfile equationGeneralized expression
spellingShingle Li Jian
Rao Xiong
Tang Mao
Deng Yuanyuan
Xiong Meiling
Research of the Profile Surface Equation of Globoidal Indexing Cam based on Unified Mathematical Expression
Jixie chuandong
Globoidal indexing cam
Theory of envelope
Profile equation
Generalized expression
title Research of the Profile Surface Equation of Globoidal Indexing Cam based on Unified Mathematical Expression
title_full Research of the Profile Surface Equation of Globoidal Indexing Cam based on Unified Mathematical Expression
title_fullStr Research of the Profile Surface Equation of Globoidal Indexing Cam based on Unified Mathematical Expression
title_full_unstemmed Research of the Profile Surface Equation of Globoidal Indexing Cam based on Unified Mathematical Expression
title_short Research of the Profile Surface Equation of Globoidal Indexing Cam based on Unified Mathematical Expression
title_sort research of the profile surface equation of globoidal indexing cam based on unified mathematical expression
topic Globoidal indexing cam
Theory of envelope
Profile equation
Generalized expression
url http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2018.12.005
work_keys_str_mv AT lijian researchoftheprofilesurfaceequationofgloboidalindexingcambasedonunifiedmathematicalexpression
AT raoxiong researchoftheprofilesurfaceequationofgloboidalindexingcambasedonunifiedmathematicalexpression
AT tangmao researchoftheprofilesurfaceequationofgloboidalindexingcambasedonunifiedmathematicalexpression
AT dengyuanyuan researchoftheprofilesurfaceequationofgloboidalindexingcambasedonunifiedmathematicalexpression
AT xiongmeiling researchoftheprofilesurfaceequationofgloboidalindexingcambasedonunifiedmathematicalexpression