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Formulating the swept envelope of rotary cutter undergoing general spatial motion for multi-axis NC machining

Authors
Journal
International Journal of Machine Tools and Manufacture
0890-6955
Publisher
Elsevier
Publication Date
Volume
49
Issue
2
Identifiers
DOI: 10.1016/j.ijmachtools.2008.10.004
Keywords
  • Rotary Cutter
  • Spatial Motion
  • Swept Envelope
  • Nc Machining
Disciplines
  • Computer Science

Abstract

Abstract Based on the tangency condition in envelope theory and the body velocity representation in spatial kinematics, a closed-form solution of the swept envelope of a general rotary cutter moving along a general tool path defined in the NC programs is derived. No additional moving frames or local frames are required, and the computational formulas are independent of the types of the machines. The results can be applied to NC machining simulation, tool path optimization, and CAD/CAM of spatial cams.

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