DOUBLE-HEART CURVE GENERATED BY AN ORIGINAL MECHANISM

  • Iulian POPESCU University of Craiova
  • Ludmila SASS University of Craiova
  • Alina DUTA University of Craiova
  • Marcela POPESCU University of Craiova
  • Alina Elena ROMANESCU University of Craiova
Keywords: Double-heart curve, curve generator mechanism

Abstract

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).

Author Biographies

Iulian POPESCU, University of Craiova

Faculty of Mechanical Engineering, University of Craiova, Romania

Ludmila SASS, University of Craiova

Faculty of Mechanical Engineering, University of Craiova, Romania

Alina DUTA, University of Craiova

Faculty of Mechanical Engineering, University of Craiova, Romania

Marcela POPESCU, University of Craiova

Faculty of Science, University of Craiova, Romania

Alina Elena ROMANESCU, University of Craiova

Faculty of Mechanical Engineering, University of Craiova

References

1 Popescu, I., Sass, L. (2001). Mecanisme generatoare de curbe, Editura Sitech, ISBN 973-38-0308-1, Craiova
2 Artobolevskii, I.I. (1959). Teoria mehanizmov dlia vosproizvedenia ploskih crivâh. Izd. Academii Nauk, SSSR, Moskva.
3 http://mathworld.wolfram.com/HeartCurve.html, Accessed: 2018-10-10.
4 https://en.wikipedia.org/wiki/Cardioid, Accessed: 2018-10-12
5 http://www.mathematische-asteleien.de/heart.htm, Accessed: 2018-10-10
6 http://www.matchcurve.com/courbes2d.gb/double
coeur/doublecoeur.shtml, Accessed: 2018-09-01.
7 Popescu, M., Popescu, P. (2002). Algebra liniara si geometrie analitica, Ed. Universitaria, ISBN 973-8043-308-8, Craiova.
Published
2019-05-22
How to Cite
POPESCU, I., SASS, L., DUTA, A., POPESCU, M., & ROMANESCU, A. E. (2019). DOUBLE-HEART CURVE GENERATED BY AN ORIGINAL MECHANISM. Journal of Industrial Design and Engineering Graphics, 14(1), 85-90. Retrieved from http://sorging.ro/jideg/index.php/jid/article/view/483
Section
Articles