Title: On the exact computation of the swept surface of a cylindrical surface undergoing two-parameter rational Bezier motions

Authors: Jun Xia, Q. Jeffrey Ge, Anurag Purwar

Addresses: Computational Design Kinematics Laboratory, Department of Mechanical Engineering, Stony Brook University, Stony Brook, 11794-2300, New York, USA. ' Computational Design Kinematics Laboratory, Department of Mechanical Engineering, Stony Brook University, Stony Brook, 11794-2300, New York, USA. ' Computational Design Kinematics Laboratory, Department of Mechanical Engineering, Stony Brook University, Stony Brook, 11794-2300, New York, USA

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.

Keywords: rational motion; swept volume analysis; enveloping surfaces; cylindrical cutters; multi-axis machining; NC machining; swept surfaces; plane trajectory; freeform surfaces; tool path planning; five-axis machining.

DOI: 10.1504/IJMMS.2011.041477

International Journal of Mechatronics and Manufacturing Systems, 2011 Vol.4 No.3/4, pp.356 - 369

Received: 02 May 2010
Accepted: 29 Sep 2010
Published online: 07 Mar 2015 *

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