Slant Helix Curves and Acceleration Centers in Minkowski 3-Space E-1(3)

Bekar M., YAYLI Y.

JOURNAL OF ADVANCED PHYSICS, cilt.6, sa.1, ss.133-141, 2017 (Hakemli Dergi) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 6 Sayı: 1
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1166/jap.2017.1306
  • Dergi Adı: JOURNAL OF ADVANCED PHYSICS
  • Sayfa Sayıları: ss.133-141
  • Anahtar Kelimeler: Timelike Slant Helix, C-Slant Helix, Constant Precession C-Slant Helix, Rigid-Body Motion, Acceleration Center, SPATIAL MOTION, RIGID-BODY, KINEMATICS
  • Ankara Üniversitesi Adresli: Evet

Özet

In this study, some basic concepts (e.g., instant screw axis (ISA), instantaneous pole points, acceleration pole points) will be given and analyzed about an alternative one-parameter motion of a rigid-body in 3-dimensional Minkowski space. E-1(3) obtained by moving coordinate frame {N, C, W} along a non-null unit speed curve alpha = alpha(t), where N, C and W correspond to unit principal normal vector field, derivative vector field of unit principal normal vector field and Darboux vector field (or angular-velocity vector field) of the non-null unit speed curve alpha, respectively.y