Publication result detail

Dual Numbers Approach in Multiaxis Machines Error Modeling

HRDINA, J.; VAŠÍK, P.

Original Title

Dual Numbers Approach in Multiaxis Machines Error Modeling

English Title

Dual Numbers Approach in Multiaxis Machines Error Modeling

Type

WoS Article

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.

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

Dual Numbers, Machines Error Modeling, Weil algebras, Kinematics

Key words in English

Dual Numbers, Machines Error Modeling, Weil algebras, Kinematics

Authors

HRDINA, J.; VAŠÍK, P.

RIV year

2015

Released

01.06.2014

Publisher

Hindawi

Location

USA

ISBN

1110-757X

Periodical

Journal of Applied Mathematics

Volume

2014

Number

1

State

United Kingdom of Great Britain and Northern Ireland

Pages from

1

Pages to

6

Pages count

6

URL

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

Full text in the Digital Library

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/"
}

Documents

261759