Geometry design of roller gear cams with hyperboloid rollers

Yan Hong-Sen, Chen Hsin-Hung

研究成果: Article同行評審

17 引文 斯高帕斯(Scopus)

摘要

This paper studies the surface geometry of roller gear cams with hyperboloid rollers as meshing elements. The surface equation of the hyperboloid roller is established. Coordinate systems and coordinate transformation matrices corresponding to the roller gear cam are defined. The mathematical expressions for the surface geometry of the roller gear cam, by applying the theory of conjugate surfaces, differential geometry, and coordinate transformation, are derived. Based on available surface geometry of the roller gear cam, the unit normal of the cam surface is obtained by differential geometry. The contact lines of the conjugate surfaces are defined according to the equation of meshing and the specified input-output relation. Once the contact line is transformed to the coordinate system which is rigidly connected to the globoidal cam, the surface profiles of the globoidal cam are obtained. Two design examples are given.

原文English
頁(從 - 到)107-117
頁數11
期刊Mathematical and Computer Modelling
22
發行號8
DOIs
出版狀態Published - 1995 十月

All Science Journal Classification (ASJC) codes

  • 建模與模擬
  • 電腦科學應用

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