Using Monte Carlo simulation for estimation of uncertainty of four point roundness measurements of large rotors

Thomas Widmaier, Björn Hemming, Jari Juhanko, Petri Kuosmanen, Veli-Pekka Esala, Antti Lassila, Pasi Laukkanen

Research output: Chapter in Book/Report/Conference proceedingConference article in proceedingsProfessional


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 textmum for the even harmonics and from 1.5 textmum to 2.5 textmum for the odd harmonics, when the standard uncertainty for the four probes is 0.3 textmum each. The standard uncertainty for roundness deviation is 3.3 textmum.
Original languageEnglish
Title of host publicationProceedings of the 59th Ilmenau Scientific Colloquium "Engineering for a Changing World"
Number of pages8
Publication statusPublished - 1 Oct 2017
MoE publication typeD3 Professional conference proceedings
EventIlmenau Scientific Colloquium - Ilmenau, Germany
Duration: 11 Sept 201715 Sept 2017
Conference number: 59


ConferenceIlmenau Scientific Colloquium
Internet address


  • Feinwerktechnik
  • Präzisionsmessung
  • Industrie 4.0
  • Mechatronik
  • Systemtechnik
  • Konferenzschrift
  • Ilmenau <2017>


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