Implementation of SDE method to represent cutter swept volumes in 5-axis NC milling

M. C. Leu, D. Blackmore, L. P. Wang, K. G. Pak

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

Abstract

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.

Original languageEnglish (US)
Title of host publicationProceedings of SPIE - The International Society for Optical Engineering
EditorsShuzi Yang, Ji Zhou, Cheng-Gang Li
Pages354-364
Number of pages11
StatePublished - 1995
EventInternational Conference on Intelligent Manufacturing - Wuhan, China
Duration: Jun 14 1995Jun 17 1995

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
Volume2620
ISSN (Print)0277-786X

Other

OtherInternational Conference on Intelligent Manufacturing
CityWuhan, China
Period6/14/956/17/95

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering

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