Yıl: 2008 Cilt: 32 Sayı: 4 Sayfa Aralığı: 373 - 391 Metin Dili: İngilizce İndeks Tarihi: 29-07-2022

Dual quaternions in spatial kinematics in an algebraic sense

Öz:
This paper presents the finite spatial displacements and spatial screw motions by using dual quaternions and Hamilton operators. The representations are considered as 4 × 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 Kelime:

Konular: Matematik
Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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APA AKYAR B (2008). Dual quaternions in spatial kinematics in an algebraic sense. , 373 - 391.
Chicago AKYAR Bedia Dual quaternions in spatial kinematics in an algebraic sense. (2008): 373 - 391.
MLA AKYAR Bedia Dual quaternions in spatial kinematics in an algebraic sense. , 2008, ss.373 - 391.
AMA AKYAR B Dual quaternions in spatial kinematics in an algebraic sense. . 2008; 373 - 391.
Vancouver AKYAR B Dual quaternions in spatial kinematics in an algebraic sense. . 2008; 373 - 391.
IEEE AKYAR B "Dual quaternions in spatial kinematics in an algebraic sense." , ss.373 - 391, 2008.
ISNAD AKYAR, Bedia. "Dual quaternions in spatial kinematics in an algebraic sense". (2008), 373-391.
APA AKYAR B (2008). Dual quaternions in spatial kinematics in an algebraic sense. Turkish Journal of Mathematics, 32(4), 373 - 391.
Chicago AKYAR Bedia Dual quaternions in spatial kinematics in an algebraic sense. Turkish Journal of Mathematics 32, no.4 (2008): 373 - 391.
MLA AKYAR Bedia Dual quaternions in spatial kinematics in an algebraic sense. Turkish Journal of Mathematics, vol.32, no.4, 2008, ss.373 - 391.
AMA AKYAR B Dual quaternions in spatial kinematics in an algebraic sense. Turkish Journal of Mathematics. 2008; 32(4): 373 - 391.
Vancouver AKYAR B Dual quaternions in spatial kinematics in an algebraic sense. Turkish Journal of Mathematics. 2008; 32(4): 373 - 391.
IEEE AKYAR B "Dual quaternions in spatial kinematics in an algebraic sense." Turkish Journal of Mathematics, 32, ss.373 - 391, 2008.
ISNAD AKYAR, Bedia. "Dual quaternions in spatial kinematics in an algebraic sense". Turkish Journal of Mathematics 32/4 (2008), 373-391.