Implementation of Sde Method to Represent Cutter Swept Volumes in 5-Axis Nc Milling


Yang, Shuzi and Ji, Z. and Li, Cheng-Gang


The sweep differential equation (SDE) method is based upon analyzing and computing the boundary of the cutter swept volume in 5-axis NC milling. The points on the boundary of the cutter swept volume are shown to be a subset of the union of (1) the grazing points of the cutter for the entire sweep, (2) the ingress points of the cutter at the beginning of the sweep, and (3) the egress points of the cutter at the end of the sweep. The grazing points at each time instant are computed from a tangency function which describes the relationship between the sweep vector and the outward surface normals for all the points on the boundary of the cutter. An algorithm is developed and a software program is written for the computation and display of the tool swept volumes for a typical 5-axis NC milling machine. An example is given to demonstrate the algorithm in computing the swept volume of a ball-end cutter.

Meeting Name

International Conference on Intelligent Manufacturing


Mechanical and Aerospace Engineering

Keywords and Phrases

5-Axis NC Milling Machines; Cutter Swept Volumes; Grazing Points

Document Type

Article - Conference proceedings

Document Version


File Type





© 1995 SPIE -- The International Society for Optical Engineering, All rights reserved.

Publication Date

01 Jan 1995

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