Dual Quaternions in Spatial Kinematics in an Algebraic Sense

被引:0
|
作者
Akyar, Bedia [1 ]
机构
[1] Dokuz Eylul Univ, Fac Arts & Sci, Dept Math, TR-35020 Izmir, Turkey
关键词
Dual quaternions; Hamilton operators; Lie algebras;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
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.
引用
收藏
页码:373 / 391
页数:19
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