Abstract
In this paper, we present exact analysis and representation of the swept surfaces of a cylindrical object undergoing two-parameter rational Bézier motions. Instead of using the well-known approach for analysing the point trajectory of an object motion for swept volume analysis, this paper seeks to develop a new method for swept volume analysis by studying the plane trajectory of a two-parameter rational motion. It brings together recent work in swept volume analysis, plane representation of developable surfaces, and computer aided synthesis of two-parameter freeform rational motions. The results have applications in design and approximation of freeform surfaces as well as in tool path planning for five-axis machining of freeform surfaces.
| Original language | English |
|---|---|
| Pages (from-to) | 356-369 |
| Number of pages | 14 |
| Journal | International Journal of Mechatronics and Manufacturing Systems |
| Volume | 4 |
| Issue number | 3-4 |
| DOIs | |
| State | Published - Jul 2011 |
Keywords
- Cylindrical cutter
- Enveloping surfaces
- Multi-axis NC machining
- Rational motions
- Swept volume
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