On the invariants of trajectory surfaces

Gursoy O., Kucuk A.

MECHANISM AND MACHINE THEORY, cilt.34, sa.4, ss.587-597, 1999 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 34 Sayı: 4
  • Basım Tarihi: 1999
  • Doi Numarası: 10.1016/s0094-114x(98)00042-1
  • Dergi Adı: MECHANISM AND MACHINE THEORY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.587-597
  • Karadeniz Teknik Üniversitesi Adresli: Hayır

Özet

Some new results on the geometric invariants of the closed trajectory ruled surfaces are given for spatial motions. These are obtained studying the relationship between the angle of pitch and the area vector of an x-closed spherical image of an x-trajectory ruled surface, generated by an x-oriented line fixed in a moving system. Also, many results on the area of the projections of a spherical closed curve and the integral invariants of trajectory ruled surfaces are obtained. (C) 1998 Elsevier Science Ltd. All rights reserved.