Screw Motion via Matrix Algebra in Three-Dimensional Generalized Space

Autor:	Ümit Ziya Savcı
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	generalized space kinematics screw motion matrix algebra Mathematics QA1-939
Zdroj:	Symmetry, Vol 14, Iss 11, p 2235 (2022)
Druh dokumentu:	article
ISSN:	2073-8994
DOI:	10.3390/sym14112235
Popis:	This paper aims to investigate the screw motion in generalized space. For this purpose, firstly, the change in the screw coordinates is analyzed according to the motion of the reference frames. Moreover, the special cases of this change, such as pure rotation and translation, are discussed. Matrix multiplication and the properties of dual numbers are used to obtain dual orthogonal matrices, which are used to simplify the manipulation of screw motion in generalized space. In addition, the dual angular velocity matrix is calculated and shows that the exponential of this matrix can represent the screw displacement in the generalized space. Finally, to support our results, we give two examples of screw motion, the rotation part of which is elliptical and hyperbolic.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/fe03a3a30bd44efd90949df9a3c71940 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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