THE PARALLEL TRAJECTORY RULED SURFACES

Kurt E., Güler F.

JOURNAL OF SCIENCE AND ARTS, sa.2, ss.439-448, 2022 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2022
  • Doi Numarası: 10.46939/j.sci.arts-22.2-a16
  • Dergi Adı: JOURNAL OF SCIENCE AND ARTS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.439-448
  • Anahtar Kelimeler: Ruled Surfaces, Trajectory Ruled Surfaces, Curves and Parallel Curves, MANNHEIM PARTNER CURVES
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

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.