Application of Flows and Envelopes to NC Machining

Denis Blackmore, M. C. Leu, K. K. Wang

Research output: Contribution to journalArticlepeer-review

38 Scopus citations


Abstract: The characterization and representation of swept volume has important applications in NC machining theory and practice. Modern YC programs are quite versatile: they provide programmers with the capacity of performing a variety of possible types of motion for the cutting tool such as linear. circular, helical. parabolic and cubic interpolation. Using the method of sweep differential equations, techniques which incorporate the method of envelopes are developed for constructing the swept volume of simple tools which are generated by typical motions in YC programs. The technique for linear. circular and helical motions is shown to effectively reduce the dimension of the problem by two. For completely general motions it is shown that the procedure can be best effectuated by first imbedding the configuration in a space of one more dimension. Several examples are included to illustrate the implementation of the methods which are introduced.

Original languageEnglish (US)
Pages (from-to)493-496
Number of pages4
JournalCIRP Annals - Manufacturing Technology
Issue number1
StatePublished - 1992

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering
  • Industrial and Manufacturing Engineering


  • geometric modeling
  • machining
  • numerical control


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