Dual Quaternions in Spatial Kinematics in an Algebraic Sense

Authors : Bedia Akyar

Pages : 373-391

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Publication Date : 9999-12-31

Article Type : Makaleler

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.
Keywords : Dual quaternions, Hamilton operators, Lie algebras