CIRP Encyclopedia of Production Engineering

2014 Edition
| Editors: The International Academy for Production Engineering, Luc Laperrière, Gunther Reinhart

Tolerancing (Kinematic Approach to)

  • Luc Laperrière
Reference work entry



A computer-aided tolerancing technique used to compute the effects that small displacements (tolerances) of the parts in a kinematic chain have on a functional requirement of a mechanical product.

Theory and Application


Tolerancing is a complex task that conveys functional intent into the detail drawings of a mechanical product, using a symbolic language which rules are defined in international standards of geometric design and tolerancing (ASME Y14.5, 2009) (ISO 8015, 2011). Over the years many aspects of tolerancing have drawn much attention in the scientific community: tolerance analysis, tolerance synthesis, worst-case tolerancing, statistical tolerancing, tolerance modeling, tolerance optimization, nonrigid part tolerancing, etc.

Kinematic tolerancing is one of many techniques proposed to model tolerances (Hong and Chang 2002). In kinematic tolerancing the tolerance chain is treated as a...

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  1. ASME (2009) Dimensioning and tolerancing ASME Y14.5M. American Society of Mechanical Engineers, New YorkGoogle Scholar
  2. Bourdet P, Mathieu L, Lartigue C, Ballu A (1996) The concept of the small displacement torsor in metrology. Series on advances in mathematics for applied sciences. World Sci 40:110–122Google Scholar
  3. Hong YS, Chang TC (2002) A comprehensive review of tolerancing research. Int J Product Res 40(11):2425–2459CrossRefMATHGoogle Scholar
  4. ISO 8015 (2011) Geometrical product specifications (GPS) - Concepts, Principles and Rules, International Organization for Standardization (ISO)Google Scholar
  5. Laperrière L, Ghie W, Desrochers A (2002) Statistical and deterministic tolerance analysis and synthesis using a unified Jacobian-Torsor model. Ann CIRP 51(1):417–420CrossRefMATHGoogle Scholar
  6. Villeneuve F, Mathieu L (eds) (2010) Geometric tolerancing of products. ISTE/Wiley, London/Hoboken. ISBN 9781848211186Google Scholar

Copyright information

© CIRP 2014

Authors and Affiliations

  1. 1.Université du Québec à Trois-RivièresTrois-RivièresCanada