Improved algorithm for tolerance allocation based on Monte Carlo simulation and discrete optimization

Computers and Industrial Engineering

Volumn 56, Issue 4, 2009, Pages 1402-1413

  Wu, Fangcai ^a   Dantan, Jean Yves ^b   Etienne, Alain ^b   Siadat, Ali ^b   Martin, Patrick ^b  

^a WUHAN UNIVERSITY OF TECHNOLOGY   (China)

^b ARTS ET MÉTIERS PARISTECH   (France)

Author keywords

Genetic algorithms; Monte Carlo simulation; Statistical tolerance allocation

Indexed keywords

DISCRETE OPTIMIZATIONS; ILLUSTRATIVE EXAMPLES; IMPROVED ALGORITHMS; MANUFACTURING COSTS; MANUFACTURING TOLERANCES; MONTE CARLO SIMULATION; NON-LINEAR; STATISTICAL TOLERANCE ALLOCATION; STATISTICAL TOLERANCE ANALYSIS; TOLERANCE ALLOCATIONS;

COSMIC RAY DETECTORS; FITS AND TOLERANCES; GENETIC ALGORITHMS; PROBABILITY DENSITY FUNCTION;

MONTE CARLO METHODS;

EID: 67349139424     PISSN: 03608352     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cie.2008.09.005     Document Type: Article

References (42)

1. Anselmetti B., Mejbri H., and Mawussi K. Coupling experimental design-digital simulation of junctions for the development of complex tolerance chains. Computers in Industry 50 (2003) 277-292
2. Ballot E, & Bourdet P. (1997). A Computation method for the consequences of geometric errors in mechanisms. In: Proceedings of CIRP seminar on computer aided tolerancing, Toronto, Canada.
3. Ballu A, & Plantec J. Y. (2000). Statistical tolerancing of hyperstatic mechanisms using FORM SORM method. In: MMR2000, Mathematical methods in reliability, France.
4. Bjorke O. Computer-aided tolerancing. 2nd ed. (1989), ASME Press, New York, NY, USA
5. Chase K., and Greenwood W.K. Least cost tolerance allocation for mechanical assemblies with automated process selection. Manufacturing Review 3 1 (1990) 49-59 March
6. Chase K.W., and Parkinson A.R. A survey of research in the application of tolerance analysis to the design of mechanical assemblies. Research in Engineering Design 3 (1991) 23-37
7. Dantan J.Y., Mathieu L., Ballu A., and Martin P. Tolerance synthesis: Quantifier notion and virtual boundary. Computer Aided Design 37 2 (2005) 231-240
8. DeDoncker D., and Spencer A. Assembly tolerance analysis with simulation and optimization techniques. SAE Transactions 96 1 (1987) 1062-1067
9. Feng, S. et al. (1999). Incorporating process planning into conceptual design. In: Proceedings of the 1999 ASME design engineering technical conferences.
10. Fleming, A. (1987). Analysis of uncertainties and geometric tolerances in assemblies of parts. Ph.D. Thesis, University of Edimburgh.
11. Gaudemer G. Methoden zur Toleranzverteilung - Evolutionäre Methoden (2006), Diplomerbeit, Universitat Karlsruhe, KTH
12. Gerth R.J., and Hancock W.M. Computer aided tolerance analysis for improved process control. Journal of Computers & Industrial Engineering 38 (2000) 1-19
13. Giordano, M., & Duret, D. (1993). Clearance space and deviation space, application to three-dimensional chain of dimensions and positions. In: Proceedings of CIRP Seminar on Computer Aided Tolerancing, ENS Cachan, France.
14. Goldberg D. Genetic algorithms. Addison Wesley (1989)
15. Guilford, J., & Turner, J. U. (1993). Advanced tolerance analysis and synthesis for geometric tolerances. In: Proceedings of international forum on dimensional tolerancing and metrology (Vol. 27, pp. 187-198).
16. Gupta S., and Turner J.U. Variational solid modeling for tolerance analysis. Journal of IEEE Computer Graphics & Application 13 3 (1993) 64-74
17. Hong Y.S., and Chang T.C. Tolerancing algebra: A building block for handling tolerance interactions in design and manufacturing. International Journal of Production Research 41 1 (2003) 47-63
18. Iannuzzi, M. P. & Sandgren, E. (1995). Tolerance optimization using genetic algorithms: Benchmarking with manual analysis. In: Proceedings of the fourth CIRP design seminar on computer-aided tolerancing.
19. Jeang A. Optimal tolerance design by response surface methodology. International Journal of Production Research 37 14 (1999) 3275-3288
20. Joskowicz L., Sacks E., and Srinivasan V. Kinematic tolerance analysis. Computer Aided Design 29 2 (1997) 147-157
21. Kanai, S., Onozuka, M., & Takahashi, H. (1995). Optimal tolerance synthesis by genetic algorithm under the machining and assembling constraints. In: Proceedings of the fourth CIRP design seminar on computer-aided tolerancing.
22. Kharoufeh J.P., and Chandra M.J. Statistical tolerance analysis for non-normal or correlated normal component characteristics. International Journal of Production Research 40 2 (2002) 337-352
23. Laperriere L., and Kabore T. Monte Carlo simulation of tolerance synthesis equations. International Journal of Production Research 39 11 (2001) 2395-2406
24. Lee J., and Johnson G.E. Optimal tolerance allotment using a genetic algorithm and truncated Monte Carlo simulation. Computer Aided Design 25 (1995) 601-611
25. Mejbri H., Anselmetti B., and Mawussi K. Functional tolerancing of complex mechanisms: Identification and specification of key parts. Computers & Industrial Engineering 49 2 (2005) 241-265
26. Nigam S.D., and Turner J.U. Review of statistical approaches to tolerance analysis. Computer Aided Design 27 1 (1995) 6-15
27. Robinson, D. M. (1998). Geometric tolerancing for assembly. Ph.D. Thesis, Cornell University.
28. Roy U., and Li B. Representation and interpretation of geometric tolerances for polyhedral objects. Computer Aided Design 31 4 (1999) 273-285
29. Sacks E., and Joskowicz L. Parametric kinematic tolerance analysis of planar mechanisms. Computer Aided Design 29 5 (1997) 333-342
30. Shan A., and Roth R.N. Genetic algorithms in statistical tolerancing. Mathematical and Computer Modeling 38 (2003) 1427-1436
31. Singh P.K., Jain S.C., and Jain P.K. Advanced optimal tolerance design of mechanical assemblies with interrelated dimension chains and process precision limits. Computers in Industry 56 2 (2005) 179-194
32. Skowronski V.J., and Turner J.U. Estimating gradients for statistical tolerance synthesis. Computer Aided Design 28 12 (1996) 933-941
33. Skowronski V.J., and Turner J.U. Using Monte Carlo variance reduction in statistical tolerance synthesis. Computer Aided Design 29 l (1997) 63-69
34. Soderberg, R., & Lindkvist, L. (2001). Automated Seam variation and stability analysis for automotive body design. In: Proceedings of CIRP seminar on computer aided tolerancing, France.
35. Soderberg R., and Johannesson H. Tolerance chain detection by geometrical constraint based coupling analysis. Journal of Engineering Design 10 1 (1999) 5-24
36. Teissandier, D., Delos, V., & Couetard, Y. (1999). Operations on polytopes application to tolerance analysis. In: Proceedings of CIRP seminar on computer aided tolerancing, Enschede, Netherlands.
37. Thornton A.C. Variation risk management using modeling and simulation. Journal of Mechanical Design 121 (1999) 297-304
38. Varghese P., and Braswell N. Statistical tolerance analysis using FRPDF and numerical convolution. Computer Aided Design 28 9 (1996) 723-732
39. Voelcker H.B. The current state of affairs in dimensional tolerancing. Integrated Manufacturing Systems 9 (1998) 205-217
40. Zhang H. Advanced tolerancing techniques. ed. (1997), John Wiley & Sons, Inc., New York
41. Zhang C., Luo J., and Wang B. Statistical tolerance synthesis using distribution function zones. International Journal of Production Research 34 17 (1999) 3995-4006
42. Zou Z., and Morse E.P. A gap-based approach to capture fitting conditions for mechanical assembly. Computer Aided Design 36 (2004) 691-700