The surface geometry of rollers with skew rolling of steel balls

S. C. Yang; C. K. Chen

doi:10.1243/0954406011520922

The surface geometry of rollers with skew rolling of steel balls

S. C. Yang, C. K. Chen

Graduate Institute of Vehicle Engineering

Research output: Contribution to journal › Article › peer-review

14 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	523-532
Number of pages	10
Journal	Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science
Volume	215
Issue number	5
DOIs	https://doi.org/10.1243/0954406011520922
Publication status	Published - 2001

All Science Journal Classification (ASJC) codes

Mechanical Engineering

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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.

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