Detail publikace

Dual numbers arithmentic in multiaxis machine error modeling

HRDINA, J. VAŠÍK, P. HOLUB, M.

Originální název

Dual numbers arithmentic in multiaxis machine error modeling

Typ

článek v časopise ve Scopus, Jsc

Jazyk

angličtina

Originální abstrakt

When a kinematic chain of a multiaxis machine centre is assembled by means of homogeneous matrices, it is possible to include the error representing matrices within and neglect the error terms which do not affect the prescribed accuracy. Classically, such error terms are identified and neglected according to the system of given identities after the matrix multiplication. In our approach, the matrices itself are designed to form a ring that respects the desired arithmetic of error terms, particularly the ring of matrices over the dual numbers. On the other hand, to make this algebraically possible, several negligible terms remain.

Klíčová slova

dual number, geometric accuracy, volumetric accuracy, CNC machine tools

Autoři

HRDINA, J.; VAŠÍK, P.; HOLUB, M.

Vydáno

8. 2. 2017

Nakladatel

MM Science

Místo

Praha

ISSN

1803-1269

Periodikum

MM Science Journal

Ročník

2017

Číslo

1

Stát

Česká republika

Strany od

1769

Strany do

1772

Strany počet

4

URL

http://www.mmscience.eu/content/file/archives/MM_Science_2016210.pdf

BibTex

@article{BUT132930,
  author="Jaroslav {Hrdina} and Petr {Vašík} and Michal {Holub}",
  title="Dual numbers arithmentic in multiaxis machine error modeling",
  journal="MM Science Journal",
  year="2017",
  volume="2017",
  number="1",
  pages="1769--1772",
  doi="10.17973/MMSJ.2017\{_}02\{_}2016210",
  issn="1803-1269",
  url="http://www.mmscience.eu/content/file/archives/MM_Science_2016210.pdf"
}