The general objective of this paper is to analyse the dependency relations that may exist between several specifications of a geometric object. This object will be modelled on the basis of the TTRS concept and vector modelling synthesised by the metric tensor of a sheaf of vectors. The first problem that we propose to solve therefore is the formal expression of these relations. After that, the dependency will be analysed and illustrated considering a 3D object.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
[Ballot et al., 2001] Ballot, E.; Bourdet, P.; Thiébaut, F.; “Determination of Relative Situations of Parts for Tolerance Computation”; In: 7th CIRP International Seminar on Computer Aided Tolerancing, Cachan (FRANCE), April 24-25, (2001).
[Chase et al., 1997] Chase, K.W.; Gao, J.; Magleby, S.P.; “Tolerance Analysis of 2-D and 3-D Mechanical Assemblies with Small Kinematic Adjustments”; In: Advanced Tolerancing Techniques, John Wiley, pp. 103-137, (1997).
[Clément et al., 1999] Clément, A.; Rivière, A.; Serré, P.; “Global Consistency of Dimensioning and Tolerancing”; Keynote paper of CIRP Computer Aided Tolerancing, 6thSeminar, Enschede, The Nederlands, March 22-24, (1999).
[Duong, 2003] Duong, A.N.; “Spécification, analyse et résolution de problèmes géométriques 2D et 3D modélisés par contraintes”; Thèse de Doctorat, Ecole Centrale de Paris (2003).
[Kron, 1942] Kron, G.; “A short course in tensor analysis for electrical engineers”; Wiley, New York; Chapman & Hall, London, (1942).
[Laperrière et al., 2003] Laperrière, L.; Ghie, W.; Desrochers, A.; “Projection of Torsorsȁ: a Necessary Step for Tolerance Analysis Using the Unified Jacobian-Torsor Model”; In: 8th CIRP International Seminar on Computer Aided Tolerancing, Charlotte (USA), April 28-29, (2003).
[Serré et al., 2001] Serré P.; Rivière A.; Clément A.; “Analysis of functional geometrical specification”; In:7th CIRP International Seminar on Computer Aided Tolerancing, Cachan (FRANCE), April 24-25 (2001).
[Serré et al., 2003] Serré, P.; Rivière, A.; Clément, A.; “The clearance effect for assemblability of over-constrained mechanisms”; In: 8th CIRP International Seminar on Computer Aided Tolerancing, Charlotte (USA), April 28-29, (2003).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2007 Springer
About this paper
Cite this paper
Serré, P., Rivière, A., Clément, A. (2007). Dependence and Independence of Variations of a Geometric Object. In: Davidson, J.K. (eds) Models for Computer Aided Tolerancing in Design and Manufacturing. Springer, Dordrecht. https://doi.org/10.1007/1-4020-5438-6_4
Download citation
DOI: https://doi.org/10.1007/1-4020-5438-6_4
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-5437-2
Online ISBN: 978-1-4020-5438-9
eBook Packages: EngineeringEngineering (R0)