DOUBLE-HEART CURVE GENERATED BY AN ORIGINAL MECHANISM

Different variants of cardioids were reviewed and authors decided to an end to focus on the usability of a Double-heart curve. Starting from the geometric information related to its generation, the synthesis of an original generating mechanism was performed firstly, followed by the realization of it...

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Main Authors: Iulian POPESCU, Ludmila SASS, Alina DUTA, Marcela POPESCU, Alina Elena ROMANESCU
Format: Article
Language:English
Published: SORGING 2019-05-01
Series:Journal of Industrial Design and Engineering Graphics
Subjects:
Online Access:http://sorging.ro/jideg/index.php/jid/article/view/483
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author Iulian POPESCU
Ludmila SASS
Alina DUTA
Marcela POPESCU
Alina Elena ROMANESCU
author_facet Iulian POPESCU
Ludmila SASS
Alina DUTA
Marcela POPESCU
Alina Elena ROMANESCU
author_sort Iulian POPESCU
collection DOAJ
description Different variants of cardioids were reviewed and authors decided to an end to focus on the usability of a Double-heart curve. Starting from the geometric information related to its generation, the synthesis of an original generating mechanism was performed firstly, followed by the realization of its structural analysis. Mechanism’s positions were computed and the imposed curve was generated. The variations of certain trajectories were deduced from the corresponding diagrams. The mechanism sizes were modified and a wide class of curves presenting interest from the geometric point of view was obtained. Some mathematical properties of the curves generated by the above mechanism are studied (binormal vector, tangent equation in a current point, normal plane equation, tangent versor, versor of normal to the curve).
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spelling doaj.art-56899ed59b9444698aaa83b2c48013a72023-09-02T02:55:44ZengSORGINGJournal of Industrial Design and Engineering Graphics1843-37662344-46812019-05-01141DOUBLE-HEART CURVE GENERATED BY AN ORIGINAL MECHANISMIulian POPESCU0Ludmila SASS1Alina DUTA2Marcela POPESCU3Alina Elena ROMANESCU4University of CraiovaUniversity of CraiovaUniversity of CraiovaUniversity of CraiovaUniversity of CraiovaDifferent variants of cardioids were reviewed and authors decided to an end to focus on the usability of a Double-heart curve. Starting from the geometric information related to its generation, the synthesis of an original generating mechanism was performed firstly, followed by the realization of its structural analysis. Mechanism’s positions were computed and the imposed curve was generated. The variations of certain trajectories were deduced from the corresponding diagrams. The mechanism sizes were modified and a wide class of curves presenting interest from the geometric point of view was obtained. Some mathematical properties of the curves generated by the above mechanism are studied (binormal vector, tangent equation in a current point, normal plane equation, tangent versor, versor of normal to the curve).http://sorging.ro/jideg/index.php/jid/article/view/483Double-heart curvecurve generator mechanism
spellingShingle Iulian POPESCU
Ludmila SASS
Alina DUTA
Marcela POPESCU
Alina Elena ROMANESCU
DOUBLE-HEART CURVE GENERATED BY AN ORIGINAL MECHANISM
Journal of Industrial Design and Engineering Graphics
Double-heart curve
curve generator mechanism
title DOUBLE-HEART CURVE GENERATED BY AN ORIGINAL MECHANISM
title_full DOUBLE-HEART CURVE GENERATED BY AN ORIGINAL MECHANISM
title_fullStr DOUBLE-HEART CURVE GENERATED BY AN ORIGINAL MECHANISM
title_full_unstemmed DOUBLE-HEART CURVE GENERATED BY AN ORIGINAL MECHANISM
title_short DOUBLE-HEART CURVE GENERATED BY AN ORIGINAL MECHANISM
title_sort double heart curve generated by an original mechanism
topic Double-heart curve
curve generator mechanism
url http://sorging.ro/jideg/index.php/jid/article/view/483
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AT alinaelenaromanescu doubleheartcurvegeneratedbyanoriginalmechanism