A comparison of the tolerance analysis methods in the open‐loop assembly

P. Kosec, Stanko Škec*, D. Miler

*Corresponding author for this work

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Dimensional and geometric tolerances affect both the cost and the functionality of a given product. Finding the acceptable trade‐off between the two is among the common engineering tasks. Thus, many tolerance analysis methods are developed to help engineers and assist in the decision‐making process. In this article, the authors have assessed four tolerance analysis methods by applying them to the open‐loop assembly. The results obtained by the tolerance chart (worst‐case) method, Monte‐Carlo simulation, vector‐loop analysis, and the Unified Jacobian‐torsor model were analysed and compared. Additionally, the overview and application guidelines are included for each of the methods, aiming to help both researchers and practitioners. The results have confirmed that there are significant variations in the outputs across the observed methods, implying the need for informed method selection.
Original languageEnglish
JournalAdvances in Production Engineering & Management
Issue number1
Pages (from-to)44-56
Publication statusPublished - 2020


  • Assembly
  • Open-loop assembly
  • Tolerance analysis
  • Computer aided tolerancing
  • Tolerance chart analysis
  • Unified Jacobian-torsor model
  • Monte Carlo method
  • Vector-loop analysis


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