Dual Quaternions in Spatial Kinematics in an Algebraic Sense
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.
Anahtar Kelimeler:
Dual quaternions, Hamilton operators, Lie algebras
Dual Quaternions in Spatial Kinematics in an Algebraic Sense
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,
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- Bedia AKYAR Received 26.09.2008
- Dokuz Eylül University
- Faculty of Arts and Sciences
- Department of Mathematics
- Kaynaklar Yerleşkesi 35020 İzmir—TURKEY
- e—mail: bedia.akyar@deu.edu.tr
- ISSN: 1300-0098
- Yayın Aralığı: Yılda 6 Sayı
- Yayıncı: TÜBİTAK
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Dual Quaternions in Spatial Kinematics in an Algebraic Sense
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A numerical solution of wave equation arising in non- homogeneous cylindrical shells