Detail publikace

Dual Numbers Approach in Multiaxis Machines Error Modeling

HRDINA, J. VAŠÍK, P.

Anglický název

Dual Numbers Approach in Multiaxis Machines Error Modeling

Typ

Článek WoS

Jazyk

en

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.

Klíčová slova anglicky

Dual Numbers, Machines Error Modeling, Weil algebras, Kinematics

Vydáno

2014-06-01

Nakladatel

Hindawi

Místo

USA

ISSN

1110-757X

Časopis

Journal of Applied Mathematics

Ročník

2014

Číslo

1

Strany od–do

1–6

Počet stran

6

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/"
}