STUDYING THE GENERATION OF PONCELET'S CAPRICORNOID CURVE BY AN ARTOBOLEVSKII MECHANISM

Authors

  • Iulian Popescu Ph.D. Eng. University of Craiova
  • Alina Duta Ph.D. Eng. University of Craiova

Keywords:

poncelet's capricornoid curve, capricornoid generating mechanism

Abstract

The kinematic possibilities of a mechanism created by I. I. Artobolevskii for tracing Poncelet's capricornoid are studied. The structure of the mechanism is also studied by the contour method and the desired curve is obtained. Next, some parameters of the mechanism are changed, resulting other curves, or variants of the capricornoid with other dimensions and other positions of the two branches of the curve.

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Author Biographies

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

Professor Faculty of Mechanics

Alina Duta Ph.D. Eng., University of Craiova

Associate Professor Faculty of Mechanics

References

Artobolevskii, I. I. (1959) Teoria mehanizmov dlia vosproizvedenia ploskih krivâh. Izd. Akademii Nauk SSSR,.

Cresci, Luciano (2005) Le curve matemetiche. Tra curiosita e divertismento. Ulrico Hoepli Editore S.p.A., Milano

Shikin, Eugene V. (1995) Handbook and Atlas of Curves., CRC Press, Inc.

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Published

2020-08-17

Issue

Section

Research Papers

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