Slant Helix Curves and Acceleration Centers

BEKAR M., YAYLI Y.

GAZI UNIVERSITY JOURNAL OF SCIENCE, cilt.32, sa.1, ss.256-271, 2019 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 32 Sayı: 1
  • Basım Tarihi: 2019
  • Dergi Adı: GAZI UNIVERSITY JOURNAL OF SCIENCE
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.256-271
  • Anahtar Kelimeler: Cylindrical helix, C-Slant helix, Striction curve, Rigid-body motion, Acceleration center, SPATIAL MOTION, RIGID-BODY, KINEMATICS
  • Ankara Üniversitesi Adresli: Evet

Özet

In this study, an alternative one-parameter motion to Frenet motion of a rigid-body in 3-dimensional Euclidean space E-3 is given by moving the coordinate frame {N,C,W} instead of the Frenet frame {T,N,B} along a unit speed curve alpha(t), where N,C and W correspond, respectively, to unit principal normal vector field, derivative vector field of the unit principal normal vector field and Darboux vector field of the unit speed curve alpha(t). Also the concepts fixed axode, striction curve, instantaneous pole points, acceleration pole points (or acceleration centers) and instant screw axis (ISA) of this alternative one-parameter motion are studied.