Dual Quaternions in Spatial Kinematics in an Algebraic Sense

Akyar B.

TURKISH JOURNAL OF MATHEMATICS, cilt.32, sa.4, ss.373-391, 2008 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 32 Sayı: 4
  • Basım Tarihi: 2008
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.373-391
  • Anahtar Kelimeler: Dual quaternions, Hamilton operators, Lie algebras, DISPLACEMENTS
  • Dokuz Eylül Üniversitesi Adresli: Hayır

Özet

This paper presents the finite spatial displacements and spatial screw motions by using dual quaternions and Hamilton operators. The representations are considered as 4 x 4 matrices and the relative motion for three dual spheres is considered in terms of Hamilton operators for a dual quaternion. The relation between Hamilton operators and the transformation matrix has been given in a different way. By considering operations on screw motions, representation of spatial displacements is also given.