Mathematical Modeling of Ball-End Cutter

Jung Fa Hsieh; Fu Shou Wang

doi:10.4028/www.scientific.net/AMM.284-287.806

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 284-287Mathematical Modeling of Ball-End Cutter

Mathematical Modeling of Ball-End Cutter

Abstract:

The ball-end cutter plays an important role in machining free-form surfaces due to its adaptability to a surface. It is widely used in aerospace, automobile, and die/mode industries. Thus, the demand for higher cutting performance and lower cost of the ball-end cutter has been increasingly focused. In this paper, based on normal helix cutting edge geometric model, the cone wheel, which was used to grind the rake and flank face of ball-end cutter, was designed. Then, we use homogenous coordinate transformation to derive for the ball-end cutter and establish the mathematical model for grinding this type cutter in terms of grinding parameters. Finally, the cutting angles of ball-end cutter were discussed.

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Periodical:

Applied Mechanics and Materials (Volumes 284-287)

Pages:

806-809

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.284-287.806

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Online since:

January 2013

Authors:

Jung Fa Hsieh, Fu Shou Wang

Keywords:

Ball-End Cutter, Homogeneous Transformation, Mathematical Models

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