Application of Monte Carlo simulation for estimation of uncertainty of four-point roundness measurements of rolls

T. Widmaier, Björn Hemming (Corresponding Author), J. Juhanko, P. Kuosmanen, Veli-Pekka Esala, Antti Lassila, Pasi Laukkanen, J. Haikio

Research output: Contribution to journalArticleScientificpeer-review

13 Citations (Scopus)

Abstract

Large-scale rotors in the paper and steel industry are called rolls. Rolls are reground at regular intervals and roundness measurements are made throughout the machining process. Measurement systems for roundness and diameter variation of large rolls (diameter <2000 mm) are available on the market, and generally use two to four sensors and a roundness measurement algorithm. These methods are intended to separate roundness of the rotor from its movement. The hybrid four-point method has improved accuracy, even for harmonic component amplitudes. For reliable measurement results, every measurement should be traceable with an estimation of measurement uncertainty. In this paper, the Monte-Carlo method is used for uncertainty evaluation of the harmonic components of the measured roundness profile under typical industrial conditions. According to the evaluation, the standard uncertainties for the harmonic amplitudes with the hybrid method are below 0.5 μm for the even harmonics and from 1.5 μm to 2.5 μm for the odd harmonics, when the standard uncertainty for the four probes is 0.3 μm each. The standard uncertainty for roundness deviation is 3.3 μm.
Original languageEnglish
Pages (from-to)181-190
Number of pages10
JournalPrecision Engineering
Volume48
Issue numberDecember
DOIs
Publication statusPublished - 2017
MoE publication typeA1 Journal article-refereed

Fingerprint

Rotors
Iron and steel industry
Uncertainty
Monte Carlo simulation
Machining
Monte Carlo methods
Sensors

Keywords

  • harmonic amplitude
  • measurement uncertainty
  • Monte Carlo
  • paper machine roll
  • roundness

Cite this

@article{8005577800eb4fedb68c41dd25e11b87,
title = "Application of Monte Carlo simulation for estimation of uncertainty of four-point roundness measurements of rolls",
abstract = "Large-scale rotors in the paper and steel industry are called rolls. Rolls are reground at regular intervals and roundness measurements are made throughout the machining process. Measurement systems for roundness and diameter variation of large rolls (diameter <2000 mm) are available on the market, and generally use two to four sensors and a roundness measurement algorithm. These methods are intended to separate roundness of the rotor from its movement. The hybrid four-point method has improved accuracy, even for harmonic component amplitudes. For reliable measurement results, every measurement should be traceable with an estimation of measurement uncertainty. In this paper, the Monte-Carlo method is used for uncertainty evaluation of the harmonic components of the measured roundness profile under typical industrial conditions. According to the evaluation, the standard uncertainties for the harmonic amplitudes with the hybrid method are below 0.5 μm for the even harmonics and from 1.5 μm to 2.5 μm for the odd harmonics, when the standard uncertainty for the four probes is 0.3 μm each. The standard uncertainty for roundness deviation is 3.3 μm.",
keywords = "harmonic amplitude, measurement uncertainty, Monte Carlo, paper machine roll, roundness",
author = "T. Widmaier and Bj{\"o}rn Hemming and J. Juhanko and P. Kuosmanen and Veli-Pekka Esala and Antti Lassila and Pasi Laukkanen and J. Haikio",
year = "2017",
doi = "10.1016/j.precisioneng.2016.12.001",
language = "English",
volume = "48",
pages = "181--190",
journal = "Precision Engineering",
issn = "0141-6359",
publisher = "Elsevier",
number = "December",

}

Application of Monte Carlo simulation for estimation of uncertainty of four-point roundness measurements of rolls. / Widmaier, T.; Hemming, Björn (Corresponding Author); Juhanko, J.; Kuosmanen, P.; Esala, Veli-Pekka; Lassila, Antti; Laukkanen, Pasi; Haikio, J.

In: Precision Engineering, Vol. 48, No. December, 2017, p. 181-190.

Research output: Contribution to journalArticleScientificpeer-review

TY - JOUR

T1 - Application of Monte Carlo simulation for estimation of uncertainty of four-point roundness measurements of rolls

AU - Widmaier, T.

AU - Hemming, Björn

AU - Juhanko, J.

AU - Kuosmanen, P.

AU - Esala, Veli-Pekka

AU - Lassila, Antti

AU - Laukkanen, Pasi

AU - Haikio, J.

PY - 2017

Y1 - 2017

N2 - Large-scale rotors in the paper and steel industry are called rolls. Rolls are reground at regular intervals and roundness measurements are made throughout the machining process. Measurement systems for roundness and diameter variation of large rolls (diameter <2000 mm) are available on the market, and generally use two to four sensors and a roundness measurement algorithm. These methods are intended to separate roundness of the rotor from its movement. The hybrid four-point method has improved accuracy, even for harmonic component amplitudes. For reliable measurement results, every measurement should be traceable with an estimation of measurement uncertainty. In this paper, the Monte-Carlo method is used for uncertainty evaluation of the harmonic components of the measured roundness profile under typical industrial conditions. According to the evaluation, the standard uncertainties for the harmonic amplitudes with the hybrid method are below 0.5 μm for the even harmonics and from 1.5 μm to 2.5 μm for the odd harmonics, when the standard uncertainty for the four probes is 0.3 μm each. The standard uncertainty for roundness deviation is 3.3 μm.

AB - Large-scale rotors in the paper and steel industry are called rolls. Rolls are reground at regular intervals and roundness measurements are made throughout the machining process. Measurement systems for roundness and diameter variation of large rolls (diameter <2000 mm) are available on the market, and generally use two to four sensors and a roundness measurement algorithm. These methods are intended to separate roundness of the rotor from its movement. The hybrid four-point method has improved accuracy, even for harmonic component amplitudes. For reliable measurement results, every measurement should be traceable with an estimation of measurement uncertainty. In this paper, the Monte-Carlo method is used for uncertainty evaluation of the harmonic components of the measured roundness profile under typical industrial conditions. According to the evaluation, the standard uncertainties for the harmonic amplitudes with the hybrid method are below 0.5 μm for the even harmonics and from 1.5 μm to 2.5 μm for the odd harmonics, when the standard uncertainty for the four probes is 0.3 μm each. The standard uncertainty for roundness deviation is 3.3 μm.

KW - harmonic amplitude

KW - measurement uncertainty

KW - Monte Carlo

KW - paper machine roll

KW - roundness

UR - http://www.scopus.com/inward/record.url?scp=85007569872&partnerID=8YFLogxK

U2 - 10.1016/j.precisioneng.2016.12.001

DO - 10.1016/j.precisioneng.2016.12.001

M3 - Article

VL - 48

SP - 181

EP - 190

JO - Precision Engineering

JF - Precision Engineering

SN - 0141-6359

IS - December

ER -