Publication detail
Numerical Aspects of Multilateration for Volumetric Error Calculation
HOLUB, M. ZATOČILOVÁ, J. MAREK, T. BLECHA, P. HEINRICH, P.
English title
Numerical Aspects of Multilateration for Volumetric Error Calculation
Type
journal article in Web of Science
Language
en
Original abstract
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.
English abstract
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.
Keywords in English
multilateration; numerical model; volumetric errors; machine tool error
Released
21.09.2022
Publisher
MDPI
ISSN
2075-1702
Volume
10
Number
833
Pages from–to
1–15
Pages count
15
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",
year="2022",
volume="10",
number="833",
month="September",
pages="1--15",
publisher="MDPI",
issn="2075-1702"
}