Quantitative analysis of the measurement uncertainty in form characterization of freeform surfaces based on Monte Carlo simulation

Mingjun Ren, Chi Fai Cheung, Lingbao Kong, Sujuan Wang

Research output: Chapter in book / Conference proceedingConference article published in proceeding or bookAcademic researchpeer-review

3 Citations (Scopus)

Abstract

Published by Elsevier B.V This is an open access article under the CC BY-NC-ND license. Freeform surfaces possessing no symmetry in rotation are widely used in many fields such as space optics for their superior optical properties. Due to their geometric complexities, the growth of application of these surfaces in precision industries is still hindered by a lack of definitive methodologies for traceable measurement of manufactured freeform surfaces. This paper presents a method for quantitative analysis of the measurement uncertainty in the form characterization of freeform surfaces. The study starts from developing a method for the form characterization of freeform surfaces, and the associated uncertainties are evaluated based on Monte Carlo simulation by quantitatively analyzing the uncertainty induced by the sampling strategy and the evaluation method. To integrate the effect of the workpiece form deviation, a profile simulation method is developed based on fractional Brownian motion, which can be used to generated random surface form error with given magnitude. Based on computer simulation, mathematical relationships between the magnitude of the critical errors and the resulting uncertainties are identified so that an estimation of uncertainty can be given for the measured surface parameters in a specific measurement. A case study is conducted to demonstrate the effectiveness of the proposed study which provides a better understanding of the associated uncertainty in the form characterization of freeform surfaces.
Original languageEnglish
Title of host publication13th CIRP Conference on Computer Aided Tolerancing
PublisherElsevier B.V.
Pages276-280
Number of pages5
Volume27
ISBN (Electronic)9781510803015
DOIs
Publication statusPublished - 1 Jan 2015
Event13th CIRP Conference on Computer Aided Tolerancing, CAT 2014 - Hangzhou, China
Duration: 11 May 201414 May 2014

Conference

Conference13th CIRP Conference on Computer Aided Tolerancing, CAT 2014
CountryChina
CityHangzhou
Period11/05/1414/05/14

Keywords

  • Form characterization, uncertainty analysis
  • Freeform surface
  • Monte Carlo method
  • Surface measurement

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Industrial and Manufacturing Engineering

Cite this