Turkish Journal of Mathematics
Abstract
This paper presents the finite spatial displacements and spatial screw motions by using dual quaternions and Hamilton operators. The representations are considered as 4 \times 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.
DOI
-
Keywords
Dual quaternions, Hamilton operators, Lie algebras
First Page
373
Last Page
391
Recommended Citation
AKYAR, B (2008). Dual Quaternions in Spatial Kinematics in an Algebraic Sense. Turkish Journal of Mathematics 32 (4): 373-391. https://doi.org/-
