THE PARALLEL TRAJECTORY RULED SURFACES

Kurt E., Güler F.

JOURNAL OF SCIENCE AND ARTS, no.2, pp.439-448, 2022 (ESCI) identifier

  • Publication Type: Article / Article
  • Publication Date: 2022
  • Doi Number: 10.46939/j.sci.arts-22.2-a16
  • Journal Name: JOURNAL OF SCIENCE AND ARTS
  • Journal Indexes: Emerging Sources Citation Index (ESCI)
  • Page Numbers: pp.439-448
  • Keywords: Ruled Surfaces, Trajectory Ruled Surfaces, Curves and Parallel Curves, MANNHEIM PARTNER CURVES
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

The parallel curves are especially used in numerically controlled machining where a biaxial machine defines the shape of the cut made with a round cutting tool. In this study, trajectory ruled surfaces are investigated whose base curve is the parallel curve of a prescribed curve. Some results related with their developability and minimality are obtained. In addition, the conditions are investigated for the base curve to be a special curve. Parallel trajectory ruled surfaces are illustrated with examples.