Detail publikačního výsledku

A characterization of sliding vectors by dual numbers, some dual curves and the screw calculus

KUREŠ, M.

Originální název

A characterization of sliding vectors by dual numbers, some dual curves and the screw calculus

Anglický název

A characterization of sliding vectors by dual numbers, some dual curves and the screw calculus

Druh

Článek Scopus

Originální abstrakt

Moving vectors, motors and screws are introduced and the mathematical background is explained: dual numbers are used for their description. Further, the paper deals with the dual space and curves in it. Some examples (in particular helices) are given. Newly, so called Spivak's dual curve is studied from the point of view of its natural parameterization; it is presented that curvature and torsion at zero are not able to distinguish this curve from the plane analogy again – as in the real case. It is also mentioned the applicability of the theory in mechanics.

Anglický abstrakt

Moving vectors, motors and screws are introduced and the mathematical background is explained: dual numbers are used for their description. Further, the paper deals with the dual space and curves in it. Some examples (in particular helices) are given. Newly, so called Spivak's dual curve is studied from the point of view of its natural parameterization; it is presented that curvature and torsion at zero are not able to distinguish this curve from the plane analogy again – as in the real case. It is also mentioned the applicability of the theory in mechanics.

Klíčová slova

sliding vector; dual number; dual space; curves in dual space; motor; screw; curvature; torsion

Klíčová slova v angličtině

sliding vector; dual number; dual space; curves in dual space; motor; screw; curvature; torsion

Autoři

KUREŠ, M.

Rok RIV

2020

Vydáno

31.12.2019

Nakladatel

Elsevier

ISSN

2452-3216

Periodikum

Procedia Structural Integrity

Svazek

23

Číslo

4

Stát

Nizozemsko

Strany od

396

Strany do

401

Strany počet

6

URL

https://authors.elsevier.com/sd/article/S2452-3216(20)30185-2

Plný text v Digitální knihovně

http://hdl.handle.net/11012/184650

BibTex

@article{BUT162360,
  author="Miroslav {Kureš}",
  title="A characterization of sliding vectors by dual numbers, some dual curves and the screw calculus",
  journal="Procedia Structural Integrity",
  year="2019",
  volume="23",
  number="4",
  pages="396--401",
  doi="10.1016/j.prostr.2020.01.119",
  url="https://authors.elsevier.com/sd/article/S2452-3216(20)30185-2"
}

Dokumenty

1-s2.0-S2452321620301852-main