Detail publikačního výsledku

Dual Numbers Approach in Multiaxis Machines Error Modeling

HRDINA, J.; VAŠÍK, P.

Originální název

Dual Numbers Approach in Multiaxis Machines Error Modeling

Anglický název

Dual Numbers Approach in Multiaxis Machines Error Modeling

Druh

Článek WoS

Originální abstrakt

Multiaxis machines error modeling is set in the context of modern differential geometry and linear algebra. We apply special classes of matrices over dual numbers and propose a generalization of such concept by means of general Weil algebras. We show that the classification of the geometric errors follows directly from the algebraic properties of the matrices over dual numbers and thus the calculus over the dual numbers is the proper tool for the methodology of multiaxis machines error modeling.

Anglický abstrakt

Multiaxis machines error modeling is set in the context of modern differential geometry and linear algebra. We apply special classes of matrices over dual numbers and propose a generalization of such concept by means of general Weil algebras. We show that the classification of the geometric errors follows directly from the algebraic properties of the matrices over dual numbers and thus the calculus over the dual numbers is the proper tool for the methodology of multiaxis machines error modeling.

Klíčová slova

Dual Numbers, Machines Error Modeling, Weil algebras, Kinematics

Klíčová slova v angličtině

Dual Numbers, Machines Error Modeling, Weil algebras, Kinematics

Autoři

HRDINA, J.; VAŠÍK, P.

Rok RIV

2015

Vydáno

01.06.2014

Nakladatel

Hindawi

Místo

USA

ISSN

1110-757X

Periodikum

Journal of Applied Mathematics

Svazek

2014

Číslo

1

Stát

Spojené království Velké Británie a Severního Irska

Strany od

1

Strany do

6

Strany počet

6

URL

https://www.hindawi.com/journals/jam/2014/261759/

Plný text v Digitální knihovně

http://hdl.handle.net/11012/193164

BibTex

@article{BUT107735,
  author="Jaroslav {Hrdina} and Petr {Vašík}",
  title="Dual Numbers Approach in Multiaxis Machines Error Modeling",
  journal="Journal of Applied Mathematics",
  year="2014",
  volume="2014",
  number="1",
  pages="1--6",
  doi="10.1155/2014/261759",
  issn="1110-757X",
  url="https://www.hindawi.com/journals/jam/2014/261759/"
}

Dokumenty

261759