Publication detail

Dual Numbers Approach in Multiaxis Machines Error Modeling

HRDINA, J. VAŠÍK, P.

English title

Dual Numbers Approach in Multiaxis Machines Error Modeling

Type

WoS Article

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.

Keywords in English

Dual Numbers, Machines Error Modeling, Weil algebras, Kinematics

Released

2014-06-01

Publisher

Hindawi

Location

USA

ISSN

1110-757X

Journal

Journal of Applied Mathematics

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",
  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/"
}