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...
Main Authors: | , , , , |
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Format: | Article |
Language: | English |
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SORGING
2019-05-01
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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). |
first_indexed | 2024-03-12T11:10:34Z |
format | Article |
id | doaj.art-56899ed59b9444698aaa83b2c48013a7 |
institution | Directory Open Access Journal |
issn | 1843-3766 2344-4681 |
language | English |
last_indexed | 2024-03-12T11:10:34Z |
publishDate | 2019-05-01 |
publisher | SORGING |
record_format | Article |
series | Journal of Industrial Design and Engineering Graphics |
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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