Publication detail

Three-axes error modeling based on second order dual numbers

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

English title

Three-axes error modeling based on second order dual numbers

Type

WoS Article

Language

en

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.

Keywords in English

matrices; dual numbers; kinematics; error modeling

Released

2015-11-17

Publisher

Springer-Verlag

Location

Heildelberg, Germany

ISSN

2190-5983

Journal

Journal of Mathematics in Industry

Volume

5

Number

2

Pages from–to

1–11

Pages count

11

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"
}