A method to perform tridimensional analysis and tridimensional synthesis of machining tolerances is presented. The model relies on the small displacement torsor concept and on the computer aided tolerancing approach. The link between process planning and functional tolerances with torsor chains according to workpiece set-ups is exposed. An example shows how the model is used to determine automatically geometrical variations of the workpiece knowing geometrical variations of each part (part-holder, positioning devices, machined surfaces, etc.).
MarguetB.MathieuL.Tolerancing problems for aircraft industries. In Proceedings of the 5th CIRP Seminar on Computer Aided Tolerancing, Toronto, 28–29 April 1997, pp. 335–344.
2.
DesrochersA.ClementA.A dimensioning and tolerancing assistance model for CAD/CAM systems. Int. J. Advd Mf. Technol., 1994, 9, 352–361.
3.
LaperriereL.LafondP.Identification of dispersions affecting pre-defined functional requirements of mechanical assemblies. In Proceedings of International Conference on Integrated Design and Manufacturing in Mechanical Engineering, IDMME'98, Compiegne, 27–29 May 1998, pp. 721–728.
4.
BourdetP.MathieuL.LartigueC.BalluA.The concept of the small displacement torsor in metrology. In Advanced Mathematical Tools in Metrology II, Series on Advances in Mathematics for Applied Sciences, Vol. 40, 1996, pp. 110–122 (World Scientific).
5.
BallotE.BourdetP.Geometrical behavior laws for computer aided tolerancing. In Proceedings of the 4th CIRP Seminar on Computer Aided Tolerancing, University of Tokyo, April 1995, pp. 143–154.
6.
BallotE.BourdetP.A computational method for the consequences of geometric errors in mechanisms. In Proceedings of the 5th CIRP Seminar on Computer Aided Tolerancing, Toronto, 27–29 April 1997, pp. 137–148.
7.
BourdetP.ClementA.A study of optimal-criteria identification based on small displacement screw model. CIRP Annals 1988, Manufacturing Technology, Vol. 37(1), 1988, pp. 503–506.
