Detail publikace

Dual Numbers Approach in Multiaxis Machines Error Modeling

HRDINA, J. VAŠÍK, P.

Originální název

Dual Numbers Approach in Multiaxis Machines Error Modeling

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

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

Dual Numbers, Machines Error Modeling, Weil algebras, Kinematics

Autoři

HRDINA, J.; VAŠÍK, P.

Rok RIV

2014

Vydáno

1. 6. 2014

Nakladatel

Hindawi

Místo

USA

ISSN

1110-757X

Periodikum

Journal of Applied Mathematics

Ročník

2014

Číslo

1

Stát

Spojené státy americké

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/"
}