DOUBLE-HEART CURVE GENERATED BY AN ORIGINAL MECHANISM
Keywords:
double-heart curve, curve generator mechanismAbstract
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).
Downloads
References
Popescu, I., Sass, L. (2001). Mecanisme generatoare de curbe, Editura Sitech, ISBN 973-38-0308-1, Craiova
Artobolevskii, I.I. (1959). Teoria mehanizmov dlia vosproizvedenia ploskih crivâh. Izd. Academii Nauk, SSSR, Moskva.
http://mathworld.wolfram.com/HeartCurve.html, Accessed: 2018-10-10.
https://en.wikipedia.org/wiki/Cardioid, Accessed: 2018-10-12
http://www.mathematische-asteleien.de/heart.htm, Accessed: 2018-10-10
http://www.matchcurve.com/courbes2d.gb/doublecoeur/doublecoeur.shtml, Accessed: 2018-09-01.
Popescu, M., Popescu, P. (2002). Algebra liniara si geometrie analitica, Ed. Universitaria, ISBN 973-8043-308-8, Craiova.
Downloads
Published
Issue
Section
License
Copyright (c) 2020 Journal of Industrial Design and Engineering Graphics
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.