SYNTHESIS AND ANALYSIS OF A MECHANISM GENERATING THE RATIONAL CIRCULAR CUBIC

Authors

  • Mirela Cherciu Ph.D. Eng. University of Craiova
  • Iulian Popescu Ph.D. Eng. University of Craiova

Keywords:

Rational circular cubic, cubic generating mechanism, cissoids, connecting rod curve, mechanism R-PRR-PRP

Abstract

Based on the mathematical curve named rational circular cubic [2] and on its animation, it was conceived an original mechanism generating this curve. The mechanism has an additional kinematic chain that provides the drawing point of the curve as the center of a variable length straight segment. There are given the successive positions of the mechanism and the drawn curve, as well as the similar curves obtained at different positions of the fixed vertical straight and the driving's element joint. Such a mechanism can be used in textile machines, as a toy, in kinetic art, etc.

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Author Biographies

Mirela Cherciu Ph.D. Eng., University of Craiova

Associate Professor Faculty of Mechanics

Iulian Popescu Ph.D. Eng., University of Craiova

Professor Faculty of Mechanics

References

Artobolevskii, I.I. (1959). Theory of Mechanisms (Teoria mehanizmov dlia vosproizvedenia ploskih krivah of the Vosproizvedenia ploskih krivah). Izd. Academy of Nauk USSR, Moscow.

Ferreol R., Mandonnet J., (2011). Circular rational cubic(hypercissoid) https://www.mathcurve.com/courbes2d/cubiccirculairerationnelle/cubiccirculairerationnelle.shtml].

Popescu, I, Luca, L., Cherciu, M. (2013). Structure and kinematics of mechanisms. Applications. Publisher Sitech, Craiova.

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Published

2019-05-20

Issue

Section

Applied Geometry and Graphics