Manufacturing Dispersions Based Simulation and Synthesis of Design Tolerances
The objective of this work which is based on the
approach of simultaneous engineering is to contribute to the
development of a CIM tool for the synthesis of functional design
dimensions expressed by average values and tolerance intervals. In
this paper, the dispersions method known as the Δl method which
proved reliable in the simulation of manufacturing dimensions is
used to develop a methodology for the automation of the simulation.
This methodology is constructed around three procedures. The first
procedure executes the verification of the functional requirements by
automatically extracting the functional dimension chains in the
mechanical sub-assembly. Then a second procedure performs an
optimization of the dispersions on the basis of unknown variables.
The third procedure uses the optimized values of the dispersions to
compute the optimized average values and tolerances of the
functional dimensions in the chains. A statistical and cost based
approach is integrated in the methodology in order to take account of
the capabilities of the manufacturing processes and to distribute
optimal values among the individual components of the chains.
[1] C. Marty, J. M. Linares, Industrialisation des Produits Mécaniques :
Conception et Industrialisation. Paris : Publication Hermes, Tome 1,
1999.
[2] K. W. Chase and A. R. "Parkinson, A survey of research in the
application of tolerance analysis to the design of mechanical
assemblies," ADCATS, Report No. 91-1, Brigham Young University,
1991
[3] G. R. Tang, R. Kung, and J. Y. Chen, "Optimal allocation of process
tolerances and stock removals," Int. J. of Production Research, Vol. 32,
no 1, pp. 23-35, 1994.
[4] K. W. Chase, W. H. Greenwood, B. G. Loosli, and L. F. Hauglund,
"Least cost allocation for mechanical assemblies with automated process
selection," Manufacturing Review, Vol. 3, no 1, pp. 49-59, 1990.
[5] G. Zhang and M. Porchet, "Tolerance design in CIM, the state of the
art," in Proc. of the International Symposium on Robotics, Mechatronics
and Manufacturing, IMACS/SICE, 1992, pp. 1137-114.
[6] O. Bjorke, Computer Aided Tolerancing. NY: ASME Press, 2nd Ed.,
1989.
[7] P. Bourdet, "Cha├«nes de cotes de fabrication, " Revue de l-Ingénieur et
le Technicien de l-Enseignement Technique, no 191 pp.15-23, 1973.
[8] B. Anselmetti, Tolerancement : Cotation de Fabrication et Métrologie.
Paris : Edition Lavoisier, Tome 3,2003.
[9] P. Bourdet, Chaînes de Cotes Unidirectionnelles. Paris: ENS Cachan,
2003.
[10] D. Duret, "Simulation de gamme d-usinage," Revue de l-Ingénieur et le
Technicien de l-Enseignement Technique, no 229, pp. 34-37, 1981.
[11] S. Hamou, Contribution ├á l-optimization de la spécification des etats
intermédiaires dans le processus de fabrication, PhD Thesis, Dept. Mech.
Eng., Abou Bekr Belkaid University, Tlemcen, Algeria, 2004.
[12] S. Hamou, A. Cheikh, J. M. Linares, and A. Benamar, "Machining
dispersions based procedures for computer aided process plan
simulation," Int. J. Computer Integrated Manufacturing, Vol.17, no 2,
pp. 141-150, 2004.
[13] N. Cheikh, Modélisation de l-optimization des tolérances fonctionnelles
par la méthode des dispersions, M.S. thesis, Dept. Mech. Eng., Abou
Bekr Belkaid Univ., Tlemcen, Algeria, 2005.
[14] J. Tinel and F. Dardy, Communiquer en Conception Mécanique : Coter-
Tolérancer. Paris : Editions Foucher, 1991.
[15] 15] A. P. Peat, Cost Reduction Charts for Designers and Process
Engineers. London: Machinary Pub Co., 1968.
[16] A. Cheikh, "Combined statistical optimization linear programming and
mixed integer linear programming tolerance analysis and synthesis
models," Les Annales Maghrébines de l-Ingénieur, Vol. 12, pp. 743-748,
1998.
[17] S. Hamou, A. Cheikh, J. -M. Linares, and A. Chikh Daho, "A stochastic
concept for the optimization of manufacturing tolerances in computer
aided process plan simulation," Int. J. Computer Integrated
Manufacturing, Vol.19, no 7, pp. 663-675, 2006.
[18] K. G. Murty, Linear Programming. NY: John Willey & Son, 1983.
[1] C. Marty, J. M. Linares, Industrialisation des Produits Mécaniques :
Conception et Industrialisation. Paris : Publication Hermes, Tome 1,
1999.
[2] K. W. Chase and A. R. "Parkinson, A survey of research in the
application of tolerance analysis to the design of mechanical
assemblies," ADCATS, Report No. 91-1, Brigham Young University,
1991
[3] G. R. Tang, R. Kung, and J. Y. Chen, "Optimal allocation of process
tolerances and stock removals," Int. J. of Production Research, Vol. 32,
no 1, pp. 23-35, 1994.
[4] K. W. Chase, W. H. Greenwood, B. G. Loosli, and L. F. Hauglund,
"Least cost allocation for mechanical assemblies with automated process
selection," Manufacturing Review, Vol. 3, no 1, pp. 49-59, 1990.
[5] G. Zhang and M. Porchet, "Tolerance design in CIM, the state of the
art," in Proc. of the International Symposium on Robotics, Mechatronics
and Manufacturing, IMACS/SICE, 1992, pp. 1137-114.
[6] O. Bjorke, Computer Aided Tolerancing. NY: ASME Press, 2nd Ed.,
1989.
[7] P. Bourdet, "Cha├«nes de cotes de fabrication, " Revue de l-Ingénieur et
le Technicien de l-Enseignement Technique, no 191 pp.15-23, 1973.
[8] B. Anselmetti, Tolerancement : Cotation de Fabrication et Métrologie.
Paris : Edition Lavoisier, Tome 3,2003.
[9] P. Bourdet, Chaînes de Cotes Unidirectionnelles. Paris: ENS Cachan,
2003.
[10] D. Duret, "Simulation de gamme d-usinage," Revue de l-Ingénieur et le
Technicien de l-Enseignement Technique, no 229, pp. 34-37, 1981.
[11] S. Hamou, Contribution ├á l-optimization de la spécification des etats
intermédiaires dans le processus de fabrication, PhD Thesis, Dept. Mech.
Eng., Abou Bekr Belkaid University, Tlemcen, Algeria, 2004.
[12] S. Hamou, A. Cheikh, J. M. Linares, and A. Benamar, "Machining
dispersions based procedures for computer aided process plan
simulation," Int. J. Computer Integrated Manufacturing, Vol.17, no 2,
pp. 141-150, 2004.
[13] N. Cheikh, Modélisation de l-optimization des tolérances fonctionnelles
par la méthode des dispersions, M.S. thesis, Dept. Mech. Eng., Abou
Bekr Belkaid Univ., Tlemcen, Algeria, 2005.
[14] J. Tinel and F. Dardy, Communiquer en Conception Mécanique : Coter-
Tolérancer. Paris : Editions Foucher, 1991.
[15] 15] A. P. Peat, Cost Reduction Charts for Designers and Process
Engineers. London: Machinary Pub Co., 1968.
[16] A. Cheikh, "Combined statistical optimization linear programming and
mixed integer linear programming tolerance analysis and synthesis
models," Les Annales Maghrébines de l-Ingénieur, Vol. 12, pp. 743-748,
1998.
[17] S. Hamou, A. Cheikh, J. -M. Linares, and A. Chikh Daho, "A stochastic
concept for the optimization of manufacturing tolerances in computer
aided process plan simulation," Int. J. Computer Integrated
Manufacturing, Vol.19, no 7, pp. 663-675, 2006.
[18] K. G. Murty, Linear Programming. NY: John Willey & Son, 1983.
@article{"International Journal of Mechanical, Industrial and Aerospace Sciences:58092", author = "Nassima Cheikh and Abdelmadjid Cheikh and Said Hamou", title = "Manufacturing Dispersions Based Simulation and Synthesis of Design Tolerances", abstract = "The objective of this work which is based on the
approach of simultaneous engineering is to contribute to the
development of a CIM tool for the synthesis of functional design
dimensions expressed by average values and tolerance intervals. In
this paper, the dispersions method known as the Δl method which
proved reliable in the simulation of manufacturing dimensions is
used to develop a methodology for the automation of the simulation.
This methodology is constructed around three procedures. The first
procedure executes the verification of the functional requirements by
automatically extracting the functional dimension chains in the
mechanical sub-assembly. Then a second procedure performs an
optimization of the dispersions on the basis of unknown variables.
The third procedure uses the optimized values of the dispersions to
compute the optimized average values and tolerances of the
functional dimensions in the chains. A statistical and cost based
approach is integrated in the methodology in order to take account of
the capabilities of the manufacturing processes and to distribute
optimal values among the individual components of the chains.", keywords = "functional tolerances, manufacturing dispersions,simulation, CIM.", volume = "4", number = "1", pages = "67-7", }