On the Exact Representation of the Boundary Surfaces of the Swept Volume of a Cylinder Undergoing Rational Be´zier and B-Spline Motions-Reference-Cited by-同舟云学术

On the Exact Representation of the Boundary Surfaces of the Swept Volume of a Cylinder Undergoing Rational Be´zier and B-Spline Motions

Published:1999-06-01 Issue:2 Volume:123 Page:261-265
ISSN:1050-0472
Container-title:Journal of Mechanical Design
language:en
Short-container-title:

Author:

Xia J.¹,Ge Q. J.¹

Affiliation:

1. Department of Mechanical Engineering State University of New York Stony Brook, New York 11794-2300

Abstract

This paper develops methods for the exact analysis and representation of the swept volume of a circular cylinder undergoing rational Be´zier and B-spline motions. Instead of following the traditional approach of analyzing the point trajectory of an object motion for swept volume analysis, this paper develops a new method for swept volume analysis by studying the plane trajectory of a rational motion. It brings together recent work in swept volume analysis, plane representation of developable surfaces, as well as computer aided synthesis of freeform rational motions. The results have applications in design and approximation of freeform surfaces as well as tool path planning for 5-axis machining of freeform surfaces.

Publisher

ASME International

Subject

Computer Graphics and Computer-Aided Design,Computer Science Applications,Mechanical Engineering,Mechanics of Materials

Link

http://asmedigitalcollection.asme.org/mechanicaldesign/article-pdf/123/2/261/5660897/261_1.pdf

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