Determination of spherical cam profiles by envelope theory

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

Based on envelope theory and differential geometry, this paper presents a general expression for the surface geometry of spherical cams with a meshing follower. One of the significant advantages of using the concept of a cam formed as the envelope of the parameter family of the follower surfaces is that an expression can be derived which describes the cam surface. According to the transformation of the coordinates of the contact point, the meshing condition can be obtained without knowing the relative velocity between the cam and the follower. The surface analysis including the instantaneous contact lines, induced normal curvatures, comprehensive curvatures, and a limit curve of the second kind are shown for the manufacture and design of spherical cams. Moreover, the weight of the follower can be decreased by a limit curve of the second kind. A numerical example is given to illustrate the application of this method.

Original languageEnglish
Pages (from-to)128-136
Number of pages9
JournalJournal of Materials Processing Technology
Volume116
Issue number2-3
DOIs
Publication statusPublished - 2001 Oct 24

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Cams
Geometry
Surface analysis
Point contacts

All Science Journal Classification (ASJC) codes

  • Ceramics and Composites
  • Computer Science Applications
  • Metals and Alloys
  • Industrial and Manufacturing Engineering

Cite this

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abstract = "Based on envelope theory and differential geometry, this paper presents a general expression for the surface geometry of spherical cams with a meshing follower. One of the significant advantages of using the concept of a cam formed as the envelope of the parameter family of the follower surfaces is that an expression can be derived which describes the cam surface. According to the transformation of the coordinates of the contact point, the meshing condition can be obtained without knowing the relative velocity between the cam and the follower. The surface analysis including the instantaneous contact lines, induced normal curvatures, comprehensive curvatures, and a limit curve of the second kind are shown for the manufacture and design of spherical cams. Moreover, the weight of the follower can be decreased by a limit curve of the second kind. A numerical example is given to illustrate the application of this method.",
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Determination of spherical cam profiles by envelope theory. / Yang, Shyue Cheng.

In: Journal of Materials Processing Technology, Vol. 116, No. 2-3, 24.10.2001, p. 128-136.

Research output: Contribution to journalArticle

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AB - Based on envelope theory and differential geometry, this paper presents a general expression for the surface geometry of spherical cams with a meshing follower. One of the significant advantages of using the concept of a cam formed as the envelope of the parameter family of the follower surfaces is that an expression can be derived which describes the cam surface. According to the transformation of the coordinates of the contact point, the meshing condition can be obtained without knowing the relative velocity between the cam and the follower. The surface analysis including the instantaneous contact lines, induced normal curvatures, comprehensive curvatures, and a limit curve of the second kind are shown for the manufacture and design of spherical cams. Moreover, the weight of the follower can be decreased by a limit curve of the second kind. A numerical example is given to illustrate the application of this method.

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