On the surface geometry of variable pitch cylindrical cams with hyperboloidical meshing elements

Yaw Hong Kang; Feng Chi Wu; Hong Yih Cheng; Hong Sen Yan

On the surface geometry of variable pitch cylindrical cams with hyperboloidical meshing elements

Yaw Hong Kang, Feng Chi Wu, Hong Yih Cheng, Hong Sen Yan

Department of Mechanical Engineering

Research output: Contribution to conference › Paper › peer-review

Abstract

The hyperpoloid of revolution is a kind of skew surface that has engineering applications. Based on differential geometry, theory of gearing, and coordinate transformation, this paper derive mathematical equations of the geometric profiles of a double threaded variable pitch cylindrical cams with four hyperboloidical meshing elements. And based on the developed surface equations, we develop a computer program for solid modeling to simulate the surface geometry. Two examples are given to prove the derived equations.

Original language	English
Pages	115-120
Number of pages	6
Publication status	Published - 1994 Dec 1
Event	Proceedings of the 1994 ASME Design Technical Conferences. Part 1 (of 3) - Minneapolis, MN, USA Duration: 1994 Sep 11 → 1994 Sep 14

Other

Other	Proceedings of the 1994 ASME Design Technical Conferences. Part 1 (of 3)
City	Minneapolis, MN, USA
Period	94-09-11 → 94-09-14

All Science Journal Classification (ASJC) codes

Engineering(all)

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title = "On the surface geometry of variable pitch cylindrical cams with hyperboloidical meshing elements",

abstract = "The hyperpoloid of revolution is a kind of skew surface that has engineering applications. Based on differential geometry, theory of gearing, and coordinate transformation, this paper derive mathematical equations of the geometric profiles of a double threaded variable pitch cylindrical cams with four hyperboloidical meshing elements. And based on the developed surface equations, we develop a computer program for solid modeling to simulate the surface geometry. Two examples are given to prove the derived equations.",

author = "Kang, {Yaw Hong} and Wu, {Feng Chi} and Cheng, {Hong Yih} and Yan, {Hong Sen}",

year = "1994",

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AU - Wu, Feng Chi

AU - Cheng, Hong Yih

AU - Yan, Hong Sen

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N2 - The hyperpoloid of revolution is a kind of skew surface that has engineering applications. Based on differential geometry, theory of gearing, and coordinate transformation, this paper derive mathematical equations of the geometric profiles of a double threaded variable pitch cylindrical cams with four hyperboloidical meshing elements. And based on the developed surface equations, we develop a computer program for solid modeling to simulate the surface geometry. Two examples are given to prove the derived equations.

AB - The hyperpoloid of revolution is a kind of skew surface that has engineering applications. Based on differential geometry, theory of gearing, and coordinate transformation, this paper derive mathematical equations of the geometric profiles of a double threaded variable pitch cylindrical cams with four hyperboloidical meshing elements. And based on the developed surface equations, we develop a computer program for solid modeling to simulate the surface geometry. Two examples are given to prove the derived equations.

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