Detail publikačního výsledku

Three-axes error modeling based on second order dual numbers

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

Original Title

Three-axes error modeling based on second order dual numbers

English Title

Three-axes error modeling based on second order dual numbers

Type

WoS Article

Original Abstract

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.

English abstract

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.

Keywords

matrices; dual numbers; kinematics; error modeling

Key words in English

matrices; dual numbers; kinematics; error modeling

Authors

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

RIV year

2016

Released

17.11.2015

Publisher

Springer-Verlag

Location

Heildelberg, Germany

ISBN

2190-5983

Periodical

Journal of Mathematics in Industry

Volume

5

Number

2

State

Federal Republic of Germany

Pages from

1

Pages to

11

Pages count

11

URL

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

Full text in the Digital Library

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"
}

Documents

s13362-015-0016-y