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

T. Widmaier, B. Hemming*, J. Juhanko, P. Kuosmanen, V. P. Esala, A. Lassila, P. Laukkanen, J. Haikio

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

22 Citations (Scopus)
347 Downloads (Pure)

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: JOURNAL OF THE INTERNATIONAL SOCIETIES FOR PRECISIONENGINEERING AND NANOTECHNOLOGY
Volume48
Early online date5 Dec 2016
DOIs
Publication statusPublished - Apr 2017
MoE publication typeA1 Journal article-refereed

Keywords

  • Harmonic amplitude
  • Measurement uncertainty
  • Monte Carlo
  • Paper machine roll
  • Roundness

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