Detail publikačního výsledku

Numerical Aspects of Multilateration for Volumetric Error Calculation

HOLUB, M.; ZATOČILOVÁ, J.; MAREK, T.; BLECHA, P.; HEINRICH, P.

Originální název

Numerical Aspects of Multilateration for Volumetric Error Calculation

Anglický název

Numerical Aspects of Multilateration for Volumetric Error Calculation

Druh

Článek WoS

Originální abstrakt

We discuss two approaches to multilateration with a particular focus on numerical aspects for a given dataset. More precisely, we calculate the volumetric errors of the MCV 754 milling machine from the data measured by a LaserTRACER and provide criteria showing which numerical method is appropriate for the solution of the multilateration problem with respect to a given measurement dataset. In the first case, we consider two cost functions of the optimisation problem; in the second, we use the extremal principle method. We discuss the calculation accuracy depending on the matrix condition number. Our results are compared to the reference results produced by the Trac-Cal software, which is a standard used by most producers for error compensations.

Anglický abstrakt

We discuss two approaches to multilateration with a particular focus on numerical aspects for a given dataset. More precisely, we calculate the volumetric errors of the MCV 754 milling machine from the data measured by a LaserTRACER and provide criteria showing which numerical method is appropriate for the solution of the multilateration problem with respect to a given measurement dataset. In the first case, we consider two cost functions of the optimisation problem; in the second, we use the extremal principle method. We discuss the calculation accuracy depending on the matrix condition number. Our results are compared to the reference results produced by the Trac-Cal software, which is a standard used by most producers for error compensations.

Klíčová slova

multilateration; numerical model; volumetric errors; machine tool error

Klíčová slova v angličtině

multilateration; numerical model; volumetric errors; machine tool error

Autoři

HOLUB, M.; ZATOČILOVÁ, J.; MAREK, T.; BLECHA, P.; HEINRICH, P.

Rok RIV

2023

Vydáno

21.09.2022

Nakladatel

MDPI

ISSN

2075-1702

Periodikum

Machines

Svazek

10

Číslo

833

Stát

Švýcarská konfederace

Strany od

1

Strany do

15

Strany počet

15

URL

https://www.mdpi.com/2075-1702/10/10/833

Plný text v Digitální knihovně

http://hdl.handle.net/11012/208691

BibTex

@article{BUT179249,
  author="Michal {Holub} and Jitka {Zatočilová} and Tomáš {Marek} and Petr {Blecha} and Petr {Heinrich}",
  title="Numerical Aspects of Multilateration for Volumetric Error Calculation",
  journal="Machines",
  year="2022",
  volume="10",
  number="833",
  pages="1--15",
  doi="10.3390/machines10100833",
  url="https://www.mdpi.com/2075-1702/10/10/833"
}

Dokumenty

machines-10-00833
machines-10-00833-v3