Generating swept solids for NC verification using the SEDE method

Liping Wang, Ming C. Leu, Denis Blackmore

Research output: Contribution to conferencePaperpeer-review

14 Scopus citations


This paper presents a new applications of the recently developed sweep-envelope differential equation (SEDE) method and further results of its integration with commercial NC simulation software. An SEDE-based algorithm for the numerical computation of swept volume is described and combined with some novel smooth approximation formulas in order to calculate the swept volume generated by a general 7-parameter APT tool for a large class of sweeps that includes the motions encountered in five-axis NC milling processes. The SEDE approach for the most part reduces the computation to the determination of SEDE trajectories at the initial grazing points of the tool, and therefore appears to reduce computational cost as well as providing a natural connectivity for most points on the swept volume boundary. A new version of an SEDE-based program in combination with commercial NC simulation software and a CAD/CAM system developed at NJIT is applied to the simulation of material removal in five-axis NC milling process. Several examples are given to illustrate the effectiveness of this integration approach.

Original languageEnglish (US)
Number of pages12
StatePublished - 1997
EventProceedings of the 1997 4th Symposium on Solid Modeling and Applications - Atlanta, GA, USA
Duration: May 14 1997May 16 1997


OtherProceedings of the 1997 4th Symposium on Solid Modeling and Applications
CityAtlanta, GA, USA

All Science Journal Classification (ASJC) codes

  • General Engineering


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