Detail publikace

Geometric algebra methods in volumetric accuracy analysis

NAVRÁTILOVÁ, B. BYRTUS, R. HOLUB, M.

Originální název

Geometric algebra methods in volumetric accuracy analysis

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

Originální abstrakt

With the help of plane geometric algebra, we see volumetric errors as pure geometric objects. We use this identification to expand errors with respect to Abbe's principle into the whole working space with respect to some additional conditions. We show that geometric algebra helps us to understand errors in kinematics chains. We demonstrate our approach on a model example.

Klíčová slova

kinematic chain; machine tool; plane geometric algebra; quaternions; volumetric precision

Autoři

NAVRÁTILOVÁ, B.; BYRTUS, R.; HOLUB, M.

Vydáno

25. 6. 2022

Nakladatel

John Wiley and Sons

Místo

HOBOKEN

ISSN

1099-1476

Periodikum

Mathematical Methods in the Applied Sciences

Ročník

2022

Číslo

2022

Stát

Spojené království Velké Británie a Severního Irska

Strany od

1

Strany do

12

Strany počet

12

URL

https://onlinelibrary.wiley.com/doi/10.1002/mma.8494

BibTex

@article{BUT178482,
  author="Barbora {Navrátilová} and Roman {Byrtus} and Michal {Holub}",
  title="Geometric algebra methods in volumetric accuracy analysis",
  journal="Mathematical Methods in the Applied Sciences",
  year="2022",
  volume="2022",
  number="2022",
  pages="1--12",
  doi="10.1002/mma.8494",
  issn="1099-1476",
  url="https://onlinelibrary.wiley.com/doi/10.1002/mma.8494"
}