Skip to main content
Top
Published in: Research in Engineering Design 3/2013

01-07-2013 | Original Paper

Tolerance analysis of a product coupling geometric and architectural specifications in a probabilistic approach

Authors: Yann Ledoux, Denis Teissandier

Published in: Research in Engineering Design | Issue 3/2013

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

This article describes tolerance analysis using a reliability-based approach to ensuring that a functional condition is satisfied. A particular feature of this procedure is that it defines the combined effects of geometric and dimensional ISO specifications for product parts, and the architectural parameters that define the relative positions of parts in contact. In the first part, we describe configuring the product parameters by geometric deviations, and from this, a global model is produced to characterise the variation in rotor/stator clearance in a turboshaft engine turbine. This model relies on tolerance zone dimensions, dimensional tolerances and architectural parameters. When clearance is examined using the reliability-based approach, links emerge between the turbine’s architectural parameters and its geometric and dimensional specifications. Indicators can then be deduced which guide the designer in selecting the optimum turbine architectures.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literature
go back to reference Anselmetti B (2006) Generation of functional tolerancing based on positioning features. Comput Aided Des 38:902–919CrossRef Anselmetti B (2006) Generation of functional tolerancing based on positioning features. Comput Aided Des 38:902–919CrossRef
go back to reference Ballot E, Bourdet P (1995) Geometrical behavior laws for computer aided tolerancing. In: Proceedings of 4th CIRP seminar on computer aided tolerancing, Tokyo, Japan, pp 143–153 Ballot E, Bourdet P (1995) Geometrical behavior laws for computer aided tolerancing. In: Proceedings of 4th CIRP seminar on computer aided tolerancing, Tokyo, Japan, pp 143–153
go back to reference Ballu A, Falgarone H, Chevassus N, Mathieu L (2006) A new design method based on functions and tolerance specifications for product modeling. CIRP Ann Manuf Technol 55:139–142CrossRef Ballu A, Falgarone H, Chevassus N, Mathieu L (2006) A new design method based on functions and tolerance specifications for product modeling. CIRP Ann Manuf Technol 55:139–142CrossRef
go back to reference Ballu A, Mathieu L, Legoff O (2010) Representation of mechanical assemblies and specifications by graphs, geometric tolerancing of products, ISBN 978-1-84821-118-6. Iste-Wiley, pp 87–110 Ballu A, Mathieu L, Legoff O (2010) Representation of mechanical assemblies and specifications by graphs, geometric tolerancing of products, ISBN 978-1-84821-118-6. Iste-Wiley, pp 87–110
go back to reference Bourdet P, Mathieu L, Lartigue C, Ballu A (1996) The concept of the small displacement torsor in metrology. Adv Math Tools Metrol II(40):110–122 Bourdet P, Mathieu L, Lartigue C, Ballu A (1996) The concept of the small displacement torsor in metrology. Adv Math Tools Metrol II(40):110–122
go back to reference Bourdet P, Thiébaut F, Cid G (2010) Writing the 3D chain of dimensions (Tolerance Stack-Up) in symbolic expressions, geometric tolerancing of products, ISBN 978-1-84821-118-6, ISTE-WILEY, pp 125–149 Bourdet P, Thiébaut F, Cid G (2010) Writing the 3D chain of dimensions (Tolerance Stack-Up) in symbolic expressions, geometric tolerancing of products, ISBN 978-1-84821-118-6, ISTE-WILEY, pp 125–149
go back to reference Clément A, Bourdet P (1988) A study of optimal-criteria identification based on the small-displacement screw model. Ann CIRP 37:503–506 Clément A, Bourdet P (1988) A study of optimal-criteria identification based on the small-displacement screw model. Ann CIRP 37:503–506
go back to reference Clément A, Rivière A, Serré P, Valade C (1998) The TTRS: 13 constraints for dimensioning and tolerancing, ISBN 13: 9780412830006. Chapman and Hall, Toronto, pp 122–129 Clément A, Rivière A, Serré P, Valade C (1998) The TTRS: 13 constraints for dimensioning and tolerancing, ISBN 13: 9780412830006. Chapman and Hall, Toronto, pp 122–129
go back to reference Clozel P (2001) 3d tolerance analysis, from preliminary study, ISBN 1-4020-1423-6. Kluwer Academic Publisher, Cachan (France), pp 93–104 Clozel P (2001) 3d tolerance analysis, from preliminary study, ISBN 1-4020-1423-6. Kluwer Academic Publisher, Cachan (France), pp 93–104
go back to reference Dantan JY, Mathieu L, Ballu A, Martin P (2005) Tolerance synthesis: quantifier notion and virtual boundary. Comput Aided Des 37:231–240CrossRef Dantan JY, Mathieu L, Ballu A, Martin P (2005) Tolerance synthesis: quantifier notion and virtual boundary. Comput Aided Des 37:231–240CrossRef
go back to reference Dantan JY, Ballu A, Mathieu L (2008) Geometrical product specifications: model for product lifecycle. Comput Aided Des 40(4):493–501 Dantan JY, Ballu A, Mathieu L (2008) Geometrical product specifications: model for product lifecycle. Comput Aided Des 40(4):493–501
go back to reference Defazio TL, Edsall AC, Gustavson RE, Hernandez J, Hutchins PM, Leung HW et al (1993) A prototype of feature based design for assembly. J Mech Des 115:723–734CrossRef Defazio TL, Edsall AC, Gustavson RE, Hernandez J, Hutchins PM, Leung HW et al (1993) A prototype of feature based design for assembly. J Mech Des 115:723–734CrossRef
go back to reference Dufaure J, Teissandier D (2008) A tolerancing framework to support geometric specifications traceability. Int J Adv Manuf Technol 36:894–907CrossRef Dufaure J, Teissandier D (2008) A tolerancing framework to support geometric specifications traceability. Int J Adv Manuf Technol 36:894–907CrossRef
go back to reference Fiessler B, Neumann H-J, Rackwitz R (1979) Quadratic limit states in structural reliability. J Eng Mech ASCE 105(4):661–676 Fiessler B, Neumann H-J, Rackwitz R (1979) Quadratic limit states in structural reliability. J Eng Mech ASCE 105(4):661–676
go back to reference Hasofer AM, Lind NC (1974) Exact and invariant second-moment code format. J Eng Mech 100:111–121 Hasofer AM, Lind NC (1974) Exact and invariant second-moment code format. J Eng Mech 100:111–121
go back to reference ISO1101 (2004) Geometrical Product Specifications (GPS), Geometrical tolerancing, Tolerances of form, orientation, location and run-out ISO1101 (2004) Geometrical Product Specifications (GPS), Geometrical tolerancing, Tolerances of form, orientation, location and run-out
go back to reference ISO3952-1 (1981) Kinematic diagrams—Graphical symbols-Part 1 ISO3952-1 (1981) Kinematic diagrams—Graphical symbols-Part 1
go back to reference ISO406 (1995) Technical drawing, tolerancing of linear and angular dimensions ISO406 (1995) Technical drawing, tolerancing of linear and angular dimensions
go back to reference ISO5459 (1981) Technical drawings—Geometrical tolerancing—Datums and datum-systems for geometrical tolerances ISO5459 (1981) Technical drawings—Geometrical tolerancing—Datums and datum-systems for geometrical tolerances
go back to reference ISO8015 (1985) Technical drawings—Fundamental tolerancing principle ISO8015 (1985) Technical drawings—Fundamental tolerancing principle
go back to reference Johannesson H, Soderberg R (2000) Structure and matrix models for tolerance analysis from configuration to detail design. Res Eng Des 12:112–125CrossRef Johannesson H, Soderberg R (2000) Structure and matrix models for tolerance analysis from configuration to detail design. Res Eng Des 12:112–125CrossRef
go back to reference Lemaire M (2005) Fiabilité des structures—couplage mécano-fiabiliste statique, 1ère éd. Hermès science Lemaire M (2005) Fiabilité des structures—couplage mécano-fiabiliste statique, 1ère éd. Hermès science
go back to reference Lindkvist L, Soderberg R (2003) Computer-aided tolerance chain and stability analysis. J Eng Des 14:17–39CrossRef Lindkvist L, Soderberg R (2003) Computer-aided tolerance chain and stability analysis. J Eng Des 14:17–39CrossRef
go back to reference Liu J, Wilhem RG (2001) Genetic algorithms for TTRS tolerance analysis, ISBN 1-4020-1423-6. Kluwer academic publisher, Cachan, France, pp 73–82 Liu J, Wilhem RG (2001) Genetic algorithms for TTRS tolerance analysis, ISBN 1-4020-1423-6. Kluwer academic publisher, Cachan, France, pp 73–82
go back to reference Madsen HO, Krenk S, Lind NC (1986a) Methods of structural safety. Prentice-Hall, Englewood Cliffs Madsen HO, Krenk S, Lind NC (1986a) Methods of structural safety. Prentice-Hall, Englewood Cliffs
go back to reference Madsen HO, Krenk S, Lind NC (1986b) Methods of structural safety. Prentice-Hall, Inc., Englewood Cliffs Madsen HO, Krenk S, Lind NC (1986b) Methods of structural safety. Prentice-Hall, Inc., Englewood Cliffs
go back to reference Niandou H, Breysse D (2007) Reliability analysis of a piled raft accounting for soil horizontal variability. Comput Geotech 34:71–80CrossRef Niandou H, Breysse D (2007) Reliability analysis of a piled raft accounting for soil horizontal variability. Comput Geotech 34:71–80CrossRef
go back to reference Serre P, Rivière A, Clément A (2001) Analysis of functional geometrical specifications, ISBN 1-4020-1423-6. Kluwer Academic Publisher, Cachan, France, pp 115–125 Serre P, Rivière A, Clément A (2001) Analysis of functional geometrical specifications, ISBN 1-4020-1423-6. Kluwer Academic Publisher, Cachan, France, pp 115–125
go back to reference Teissandier D, Dufaure J (2010) Product model for tolerancing, geometric tolerancing of products, ISBN 978-1-84821-118-6. ISTE-WILEY, pp 55–86 Teissandier D, Dufaure J (2010) Product model for tolerancing, geometric tolerancing of products, ISBN 978-1-84821-118-6. ISTE-WILEY, pp 55–86
go back to reference Teissandier D, Couétard Y, Gérard A (1999) A computer aided tolerancing model: proportioned assemblies clearance volume. Comput Aided Des 31:805–817MATHCrossRef Teissandier D, Couétard Y, Gérard A (1999) A computer aided tolerancing model: proportioned assemblies clearance volume. Comput Aided Des 31:805–817MATHCrossRef
go back to reference Turner JU (1990) Relative positioning of parts in assemblies using mathematical programming. Comput Aided Des 22:394–400CrossRef Turner JU (1990) Relative positioning of parts in assemblies using mathematical programming. Comput Aided Des 22:394–400CrossRef
go back to reference Whitney DE, Adams JD (2001) Application of screw theory to analysis of mobility and constraint of mechanisms. J Mech Des 123:26–32CrossRef Whitney DE, Adams JD (2001) Application of screw theory to analysis of mobility and constraint of mechanisms. J Mech Des 123:26–32CrossRef
go back to reference Wirtz A (1993) Vectorial tolerancing a basic element for quality control, ISBN 2-212-08779-9. Eyrolles, Cachan, France, pp 115–228 Wirtz A (1993) Vectorial tolerancing a basic element for quality control, ISBN 2-212-08779-9. Eyrolles, Cachan, France, pp 115–228
Metadata
Title
Tolerance analysis of a product coupling geometric and architectural specifications in a probabilistic approach
Authors
Yann Ledoux
Denis Teissandier
Publication date
01-07-2013
Publisher
Springer London
Published in
Research in Engineering Design / Issue 3/2013
Print ISSN: 0934-9839
Electronic ISSN: 1435-6066
DOI
https://doi.org/10.1007/s00163-012-0146-9

Other articles of this Issue 3/2013

Research in Engineering Design 3/2013 Go to the issue

Premium Partners