CYLINDRICAL-CONICAL SURFACES INTERSECTION USING AUXILIARY SPHERES METHOD WITH MOBILE CENTER

The paper presents: intersection between two cylinders - one is a rotation cylinder and the other is an oblique circular cylinder; intersection between a rotation cylinder with an oblique circular cone. This method can be applied if the axes of the two surfaces are coplanar. The paper also presents...

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Main Authors: Dumitru Marin, Ligia Petrescu
Format: Article
Language:English
Published: SORGING 2015-06-01
Series:Journal of Industrial Design and Engineering Graphics
Subjects:
Online Access:http://sorging.ro/jideg/index.php/jid/article/view/203
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author Dumitru Marin
Ligia Petrescu
author_facet Dumitru Marin
Ligia Petrescu
author_sort Dumitru Marin
collection DOAJ
description The paper presents: intersection between two cylinders - one is a rotation cylinder and the other is an oblique circular cylinder; intersection between a rotation cylinder with an oblique circular cone. This method can be applied if the axes of the two surfaces are coplanar. The paper also presents the equations of the intersection curves which become simpler when the two surfaces are rotation cylinders. In this case the auxiliary spheres center is fixed at the axis intersection of the two rotation cylinders. The auxiliary spheres method with mobile center can be applied when a rotation cylinder is intersected with a torus or an oblique cone. The method is often used because it is rapid and allows intersection curve drawing using only a projection of the two surfaces.
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spelling doaj.art-b36ab77c8fef4859b1f41e889d0917e92023-09-02T15:24:05ZengSORGINGJournal of Industrial Design and Engineering Graphics1843-37662344-46812015-06-0110CYLINDRICAL-CONICAL SURFACES INTERSECTION USING AUXILIARY SPHERES METHOD WITH MOBILE CENTERDumitru Marin0Ligia Petrescu1Professor, “Politehnica” University of Bucharest, Department of Engineering Graphics and Industrial Design.Associated professor, “Politehnica” University of Bucharest, Department of Engineering Graphics and Industrial DesignThe paper presents: intersection between two cylinders - one is a rotation cylinder and the other is an oblique circular cylinder; intersection between a rotation cylinder with an oblique circular cone. This method can be applied if the axes of the two surfaces are coplanar. The paper also presents the equations of the intersection curves which become simpler when the two surfaces are rotation cylinders. In this case the auxiliary spheres center is fixed at the axis intersection of the two rotation cylinders. The auxiliary spheres method with mobile center can be applied when a rotation cylinder is intersected with a torus or an oblique cone. The method is often used because it is rapid and allows intersection curve drawing using only a projection of the two surfaces.http://sorging.ro/jideg/index.php/jid/article/view/203intersection, auxiliary spheres method, cylinder, cone, torus.
spellingShingle Dumitru Marin
Ligia Petrescu
CYLINDRICAL-CONICAL SURFACES INTERSECTION USING AUXILIARY SPHERES METHOD WITH MOBILE CENTER
Journal of Industrial Design and Engineering Graphics
intersection, auxiliary spheres method, cylinder, cone, torus.
title CYLINDRICAL-CONICAL SURFACES INTERSECTION USING AUXILIARY SPHERES METHOD WITH MOBILE CENTER
title_full CYLINDRICAL-CONICAL SURFACES INTERSECTION USING AUXILIARY SPHERES METHOD WITH MOBILE CENTER
title_fullStr CYLINDRICAL-CONICAL SURFACES INTERSECTION USING AUXILIARY SPHERES METHOD WITH MOBILE CENTER
title_full_unstemmed CYLINDRICAL-CONICAL SURFACES INTERSECTION USING AUXILIARY SPHERES METHOD WITH MOBILE CENTER
title_short CYLINDRICAL-CONICAL SURFACES INTERSECTION USING AUXILIARY SPHERES METHOD WITH MOBILE CENTER
title_sort cylindrical conical surfaces intersection using auxiliary spheres method with mobile center
topic intersection, auxiliary spheres method, cylinder, cone, torus.
url http://sorging.ro/jideg/index.php/jid/article/view/203
work_keys_str_mv AT dumitrumarin cylindricalconicalsurfacesintersectionusingauxiliaryspheresmethodwithmobilecenter
AT ligiapetrescu cylindricalconicalsurfacesintersectionusingauxiliaryspheresmethodwithmobilecenter