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

    Source: Journal of Mechanical Design:;2001:;volume( 123 ):;issue: 002::page 261
    Author:
    J. Xia
    ,
    Q. J. Ge
    DOI: 10.1115/1.1357539
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: This paper develops methods for the exact analysis and representation of the swept volume of a circular cylinder undergoing rational Bézier 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.
    keyword(s): Motion , Splines , Cylinders AND Trajectories (Physics) ,
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      On the Exact Representation of the Boundary Surfaces of the Swept Volume of a Cylinder Undergoing Rational Bézier and B-Spline Motions

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    http://yetl.yabesh.ir/yetl1/handle/yetl/125638
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    contributor authorJ. Xia
    contributor authorQ. J. Ge
    date accessioned2017-05-09T00:05:33Z
    date available2017-05-09T00:05:33Z
    date copyrightJune, 2001
    date issued2001
    identifier issn1050-0472
    identifier otherJMDEDB-27694#261_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/125638
    description abstractThis paper develops methods for the exact analysis and representation of the swept volume of a circular cylinder undergoing rational Bézier 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.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleOn the Exact Representation of the Boundary Surfaces of the Swept Volume of a Cylinder Undergoing Rational Bézier and B-Spline Motions
    typeJournal Paper
    journal volume123
    journal issue2
    journal titleJournal of Mechanical Design
    identifier doi10.1115/1.1357539
    journal fristpage261
    journal lastpage265
    identifier eissn1528-9001
    keywordsMotion
    keywordsSplines
    keywordsCylinders AND Trajectories (Physics)
    treeJournal of Mechanical Design:;2001:;volume( 123 ):;issue: 002
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
    نرم افزار کتابخانه دیجیتال "دی اسپیس" فارسی شده توسط یابش برای کتابخانه های ایرانی | تماس با یابش
    yabeshDSpacePersian