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IJAT Vol.16 No.3 pp. 349-355
doi: 10.20965/ijat.2022.p0349
(2022)

Paper:

Reverse Engineering Algorithm for Cutting of Ruled Geometries by Wire

Anthony T. H. Beaucamp*,† and Yoshimi Takeuchi**

*Department of Micro-Engineering, Kyoto University
Cluster C3, Kyotodaigaku-katsura, Nishikyo-ku, Kyoto 615-8540, Japan

Corresponding author

**Department of Mechanical Engineering, Chubu University, Kasugai, Japan

Received:
July 4, 2021
Accepted:
October 7, 2021
Published:
May 5, 2022
Keywords:
ruled geometries, wire cutting, differential geometry, reverse engineering
Abstract

Abrasive wire cutting (AWC) and wire electric discharge machining (WEDM) are efficient and economical processes for the fabrication of precision parts from bulk material. Operating costs and manufacturing lead times are low compared to more general methods such as 5-axis CNC milling, turning, or electro-discharge machining. In this paper, an algorithm based on differential geometry in Euclidean space is proposed for reverse engineering of ruled geometries. The algorithm can determine whether a given geometry is producible by wire cutting, and can also derive the associated wire trajectories. Implementation is demonstrated by producing complex turbine blade geometries on 4-axis wire cutting machines with an overall shape accuracy of 20–40 μm peak-to-valley.

Cite this article as:
A. Beaucamp and Y. Takeuchi, “Reverse Engineering Algorithm for Cutting of Ruled Geometries by Wire,” Int. J. Automation Technol., Vol.16, No.3, pp. 349-355, 2022.
Data files:
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Last updated on Sep. 26, 2022