Detail publikace

Three-axes error modeling based on second order dual numbers

HOLUB, M. HRDINA, J. VAŠÍK, P. VETIŠKA, J.

Originální název

Three-axes error modeling based on second order dual numbers

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

Originální abstrakt

The aim of the paper is to employ the dual numbers in the multi axes machine error modelling in order to apply the algebraic methods in computations. The calculus of higher order dual numbers allows us to calculate with the appropriate geometric parametrization effectively. We test the model on the phantom data based on the real machine tool. The results of our analysis are used for the geometric manufacturing accuracy description of the work space, together with the reduction of the measuring time.

Klíčová slova

matrices; dual numbers; kinematics; error modeling

Autoři

HOLUB, M.; HRDINA, J.; VAŠÍK, P.; VETIŠKA, J.

Rok RIV

2015

Vydáno

17. 11. 2015

Nakladatel

Springer-Verlag

Místo

Heildelberg, Germany

ISSN

2190-5983

Periodikum

Journal of Mathematics in Industry

Ročník

5

Číslo

2

Stát

Spolková republika Německo

Strany od

1

Strany do

11

Strany počet

11

URL

http://www.mathematicsinindustry.com/content/5/1/2

Plný text v Digitální knihovně

http://hdl.handle.net/11012/51841

BibTex

@article{BUT118337,
  author="Michal {Holub} and Jaroslav {Hrdina} and Petr {Vašík} and Jan {Vetiška}",
  title="Three-axes error modeling based on second order dual numbers",
  journal="Journal of Mathematics in Industry",
  year="2015",
  volume="5",
  number="2",
  pages="1--11",
  doi="10.1186/s13362-015-0016-y",
  issn="2190-5983",
  url="http://www.mathematicsinindustry.com/content/5/1/2"
}