Application of Flows and Envelopes to Nc Machining
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.
D. Blackmore et al., "Application of Flows and Envelopes to Nc Machining," CIRP Annals - manufacturing Technology, Elsevier, Jan 1992.
The definitive version is available at http://dx.doi.org/10.1016/S0007-8506(07)61252-9
Mechanical and Aerospace Engineering
Keywords and Phrases
Geometric Modeling; Numerical Control; Machining
Article - Journal
© 1992 Elsevier, All rights reserved.