### 摘要

The ball shaping process is considered from a geometric viewpoint as a meshing pair of conjugate surfaces at the precise rolling stage. This viewpoint offers a simple method and procedure for determining the groove design of each forming roll in the skew rolling process of steel balls. Based on the envelope theory, a shape design of the forming roll is a composite of two helical grooves with constant pitch and variable pitch. Through this method, the mathematical model of the forming rolls for skew rolling, which can be used to design and manufacture a skew roller for manufacturing steel balls, can be derived and simulated. Finally, the required cutter path is provided for a spherical-end cutter in the manufacturing process. The size of the spherical-end cutter may be identical with or smaller than that of the steel ball.

原文 | English |
---|---|

頁（從 - 到） | 523-532 |

頁數 | 10 |

期刊 | Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science |

卷 | 215 |

發行號 | 5 |

DOIs | |

出版狀態 | Published - 2001 六月 23 |

### 指紋

### All Science Journal Classification (ASJC) codes

- Mechanical Engineering

### 引用此文

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**The surface geometry of rollers with skew rolling of steel balls.** / Yang, Hsueh-Cheng Yang; Chen, C. K.

研究成果: Article

TY - JOUR

T1 - The surface geometry of rollers with skew rolling of steel balls

AU - Yang, Hsueh-Cheng Yang

AU - Chen, C. K.

PY - 2001/6/23

Y1 - 2001/6/23

N2 - The ball shaping process is considered from a geometric viewpoint as a meshing pair of conjugate surfaces at the precise rolling stage. This viewpoint offers a simple method and procedure for determining the groove design of each forming roll in the skew rolling process of steel balls. Based on the envelope theory, a shape design of the forming roll is a composite of two helical grooves with constant pitch and variable pitch. Through this method, the mathematical model of the forming rolls for skew rolling, which can be used to design and manufacture a skew roller for manufacturing steel balls, can be derived and simulated. Finally, the required cutter path is provided for a spherical-end cutter in the manufacturing process. The size of the spherical-end cutter may be identical with or smaller than that of the steel ball.

AB - The ball shaping process is considered from a geometric viewpoint as a meshing pair of conjugate surfaces at the precise rolling stage. This viewpoint offers a simple method and procedure for determining the groove design of each forming roll in the skew rolling process of steel balls. Based on the envelope theory, a shape design of the forming roll is a composite of two helical grooves with constant pitch and variable pitch. Through this method, the mathematical model of the forming rolls for skew rolling, which can be used to design and manufacture a skew roller for manufacturing steel balls, can be derived and simulated. Finally, the required cutter path is provided for a spherical-end cutter in the manufacturing process. The size of the spherical-end cutter may be identical with or smaller than that of the steel ball.

UR - http://www.scopus.com/inward/record.url?scp=0034995397&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0034995397&partnerID=8YFLogxK

U2 - 10.1243/0954406011520922

DO - 10.1243/0954406011520922

M3 - Article

AN - SCOPUS:0034995397

VL - 215

SP - 523

EP - 532

JO - Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science

JF - Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science

SN - 0954-4062

IS - 5

ER -