A METHOD FOR MANNHEIM OFFSETS OF RULED SURFACES

ŞENTÜRK G. Y., YÜCE S.

JOURNAL OF SCIENCE AND ARTS, sa.4, ss.827-836, 2018 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2018
  • Dergi Adı: JOURNAL OF SCIENCE AND ARTS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.827-836
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

In this paper, using Darboux frame {T, g, n} of ruled surface phi(s,v), Mannheim offsets phi* (s, v) with Darboux frame {T*, g*, n*} of phi(s,v) are defined. The striction curve, distribution parameter and orthogonal trajectory of phi* (s, v) are investigated by using the Darboux frame {T, g, n} . The distribution parameters of ruled surfaces phi*(T*),phi*(g*), and phi*(n*) are calculated. Finally, the relation between the instantaneous Pfaffian vectors of motions H / H' and H* / H*' are given, where H = {T, g, n} be the moving space along the base curve of phi(s,v), H* = {T*, g*, n*} be the moving space along the base curve of phi*(s,v), H' and H*' be fixed Euclidean spaces.