On the exact computation of the swept surface of a cylindrical surface undergoing two-parameter rational Bezier motions
by Jun Xia, Q. Jeffrey Ge, Anurag Purwar
International Journal of Mechatronics and Manufacturing Systems (IJMMS), Vol. 4, No. 3/4, 2011

Abstract: In this paper, we present exact analysis and representation of the swept surfaces of a cylindrical object undergoing two-parameter rational Bezier 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.

Online publication date: Sun, 24-Jul-2011

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