Publication detail

Geometric algebra methods in volumetric accuracy analysis

NAVRÁTILOVÁ, B. BYRTUS, R. HOLUB, M.

English title

Geometric algebra methods in volumetric accuracy analysis

Type

WoS Article

Language

en

Original abstract

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.

Keywords in English

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

Released

2022-06-25

Publisher

John Wiley and Sons

Location

HOBOKEN

ISSN

1099-1476

Journal

MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Volume

2022

Number

2022

Pages from–to

1–12

Pages count

12

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="0170-4214",
  url="https://onlinelibrary.wiley.com/doi/10.1002/mma.8494"
}