Publication detail

Dual Numbers Approach in Multiaxis Machines Error Modeling

HRDINA, J. VAŠÍK, P.

Czech title

Duální čísla v teorii modelování přístrojových chyb

English title

Dual Numbers Approach in Multiaxis Machines Error Modeling

Type

journal article in Web of Science

Language

en

Original abstract

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.

Czech abstract

Pro popis přístojových chyb zavádíme aparát duálních čísel a naznačujeme jeho výhody.

English abstract

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.

Keywords in Czech

Duální čísla, přístrojové chyby, Weilovy algebry, kinematika

Keywords in English

Dual Numbers, Machines Error Modeling, Weil algebras, Kinematics

RIV year

2014

Released

01.06.2014

Publisher

Hindawi

Location

USA

ISSN

1110-757X

Volume

2014

Number

1

Pages from–to

1–6

Pages count

6

BIBTEX


@article{BUT107735,
  author="Jaroslav {Hrdina} and Petr {Vašík},
  title="Dual Numbers Approach in Multiaxis Machines Error Modeling",
  year="2014",
  volume="2014",
  number="1",
  month="June",
  pages="1--6",
  publisher="Hindawi",
  address="USA",
  issn="1110-757X"
}