### 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 |
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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) |
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City | Minneapolis, MN, USA |

Period | 94-09-11 → 94-09-14 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Engineering(all)

### Cite this

*On the surface geometry of variable pitch cylindrical cams with hyperboloidical meshing elements*. 115-120. Paper presented at Proceedings of the 1994 ASME Design Technical Conferences. Part 1 (of 3), Minneapolis, MN, USA, .

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**On the surface geometry of variable pitch cylindrical cams with hyperboloidical meshing elements.** / Kang, Yaw Hong; Wu, Feng Chi; Cheng, Hong Yih; Yan, Hong-Sen.

Research output: Contribution to conference › Paper

TY - CONF

T1 - On the surface geometry of variable pitch cylindrical cams with hyperboloidical meshing elements

AU - Kang, Yaw Hong

AU - Wu, Feng Chi

AU - Cheng, Hong Yih

AU - Yan, Hong-Sen

PY - 1994/12/1

Y1 - 1994/12/1

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.

UR - http://www.scopus.com/inward/record.url?scp=0028595004&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0028595004&partnerID=8YFLogxK

M3 - Paper

SP - 115

EP - 120

ER -