Integrating GD&T into dimensional variation models for multistage machining processes

International Journal of Production Research

Volumn 48, Issue 11, 2010, Pages 3129-3149

  Loose, Jean Philippe ^a   Zhou, Qiang ^a   Zhou, Shiyu ^a   Ceglarek, Darek ^b  

^a University of Wisconsin Madison   (United States)

^b UNIVERSITY OF WARWICK   (United Kingdom)

Author keywords

GD T characteristics; Homogeneous transformation matrices; Machining process; Mathematical modelling; Variation propagation

Indexed keywords

DIMENSIONAL QUALITY; DIMENSIONAL VARIATIONS; ERROR SOURCES; GEOMETRIC DIMENSIONING AND TOLERANCING; HOMOGENEOUS TRANSFORMATIONS; KINEMATIC ANALYSIS; MACHINING PROCESS; MATHEMATICAL MODELLING; MATHEMATICAL REPRESENTATIONS; MULTI-STAGE MACHINING PROCESS; VARIATION PROPAGATION;

LOCATION; MACHINING CENTERS; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; NUMERICAL METHODS; QUALITY CONTROL;

MACHINING;

EID: 77951101909     PISSN: 00207543     EISSN: 1366588X     Source Type: Journal    
DOI: 10.1080/00207540802691366     Document Type: Article

References (32)

1. ASME, 1994. Dimensioning and tolerancing: engineering drawing and related documentation practices. New York: American Society of Mechanical Engineers.
2. Bourdet, P., et al., 1996. The concept of the small displacement torsor in metrology. In: P. Ciarlin, ed. Advanced mathematical tools in metrology II. River Edge, NJ: World Scientific Publishing, 110-122.
3. Ceglarek, D., et al., 2004. Time-based competition in manufacturing stream-of-variation analysis (SOVA) methodology review. International Journal of Flexible Manufacturing Systems, 16 (1), 11-44.
4. Craig, J.J., 1989. Introduction to robotics: mechanics and control. 2nd ed. Reading, MA: Addison-Wesley.
5. Desrochers, A. and Riviere, A., 1997. A matrix approach to the representation of tolerance zones and clearances. International Journal of Advanced Manufacturing Technology, 13 (9), 630-636.
6. Desrochers, A., 1999. Modeling three-dimensional tolerance zones using screw parameters. In: M.A. Ganter, ed. (CD-ROM) Proceedings of the ASME 25th design automation conference, 12-15 September Las Vegas, Nevada, paper #DETC99/DAC-8587, 895-903.
7. Desrochers, A., Ghie, W., and Laperriè re, L., 2003. Application of a unified Jacobian-torsor model for tolerance analysis. Journal of Computer and Information Science and Engineering - Transaction of the ASME, 3 (1), 2-14.
8. Ding, Y., Ceglarek, D., and Shi, J. 2000. Modeling and diagnosis of multistage manufacturing processes: part i: state space model. In: S.Y. Liang, ed. Proceedings of the 2000 Japan/USA symposium on flexible automation, 23-26 July Ann Arbor, Michigan, paper #2000JUSFA-13146, 233-240.
9. Ding, Y., Ceglarek, D., and Shi, J., 2002a. Fault diagnosis of multistage manufacturing processes by using state space approach. Journal of Manufacturing Science and Engineering - Transactions of ASME, 124 (2), 313-322. (Pubitemid 35202620)
10. Ding, Y., Ceglarek, D., and Shi, J., 2002b. Design evaluation of multi-station assembly processes by using state space approach. Journal of Mechanical Design, 124 (3), 408-418. (Pubitemid 35202438)
11. Ding, Y., Zhou, S., and Chen, Y., 2005a. A comparison of process variation estimators for in-process dimensional measurements and control. Journal of Dynamic Systems Measurement and Control - Transactions of ASME, 127 (1), 69-79.
12. Ding, Y., et al., 2005b. Process-oriented tolerancing for multi-station assembly systems. IIE Transactions, 37 (6), 493-508.
13. Djurdjanovic, D. and Ni, J., 2001. Linear state space modeling of dimensional machining errors. Transaction of NAMRI/SME, 29 (1), 541-548.
14. Henzold, G., 1995. Handbook of geometrical tolerancing: design, manufacturing, and inspection. New York: Wiley.
15. Hong, Y.S. and Chang, T.-C., 2002. A comprehensive review of tolerancing research. International Journal of Production Research, 40 (11), 2425-2459.
16. Huang, Q., Zhou, N., and Shi, J. 2000. Stream of variation modeling and diagnosis of multi-station machining processes. In: R.J. Furness, ed. Proceedings of the international mechanical engineering 2000 ASME congress & exposition, 5-10 November Orlando, Florida, Vol.11, 81-88.
17. Huang, W., et al., 2007a. Stream-of-variation modeling I: A generic 3D variation model for rigid body assembly in single station assembly processes. ASME Trans on Journal of Manufacturing Science and Engineering, 129 (4), 821-831. (Pubitemid 47437108)
18. Huang, W., et al., 2007b. Stream-of-variation modeling II: A generic 3D variation model for rigid body assembly in multi-station assembly processes. ASME Trans on Journal of Manufacturing Science and Engineering, 129 (4), 832-842. (Pubitemid 47437109)
19. Jin, J. and Shi, J., 1999. State space modeling of sheet metal assembly for dimensional control. Journal of Manufacturing Science and Engineering - Transactions of ASME, 121 (4), 756-762.
20. Kong, Z., et al., 2005. Multiple fault diagnosis method in multi-station assembly processes using orthogonal diagonalisation analysis. Proceedings of the ASME 2005 International Mechanics Engineering Congress and Exposition, 5-11 November, Orlando, USA, 1201-1212.
21. Laperriè re, L., and Lafond, P. 1998. Modeling dispersions affecting pre-defined functional requirements of mechanical assemblies using Jacobian transforms. In: J.L. Batoz, ed. Proceedings of the 2nd integrated design and manufacturing in mechanical engineering (IDMME) conference, 28-29 April, Charlotte, NC, USA 381-388
22. Laperriè re, L., Ghie, W., and Desrochers, A. 2003. Projection of torsors: a necessary step for tolerance analysis using the unified Jacobian-torsor model. In: Proceedings of 8th CIRP international seminar on computer aided tolerancing, 14-23.
23. Loose, J.-P., Zhou, S., and Ceglarek, D., 2007. Kinematic analysis of dimensional variation propagation for multistage machining processes with general fixture layout. IEEE Transactions on Automation Science and Engineering, 4 (2), 141-152.
24. Pasupathy, T.M.K, Morse, E.P., and Wilhelm, R.G., 2003. A survey of mathematical methods for the construction of geometric tolerance zones. Journal of Computing and Information Science in Engineering - ASME Transactions, 3 (1), 64-75.
25. Paul, R.P., 1981. Robot manipulators: mathematics, programming, and control: the computer control of robot manipulators. Cambridge, MA: MIT Press.
26. Requicha, A., 1983. Toward a theory of geometric tolerancing. International Journal of Robotics Research, 2 (4), 45-60.
27. Rivest, L., Fortin, C., and Morel, C., 1994. Tolerancing a solid model with a kinematic formulation. Computer-Aided Design, 26 (6), 465-476.
28. Salomons, O.W., et al., 1996. A computer aided tolerancing tool II: tolerance analysis. Computer in Industry, 31 (2), 175-186.
29. Shi, J., 2007. Stream of variation modeling and analysis for multistage manufacturing processes. Boca Raton, FL: CRC Press/Taylor and Francis.
30. Teissandier, D., Couétard, Y., and Gérard, A., 1999. A computer aided tolerancing model: proportioned assembly clearance volume. Computer-Aided Design, 31 (13), 805-817.
31. Zhou, S., Huang, Q., and Shi, J., 2003. State space modeling of dimensional variation propagation in multistage machining process using differential motion vectors. IEEE Transactions on Robotics and Automation, 19 (2), 296-309.
32. Zhou, S., Chen, Y., and Shi, J., 2004. Statistical estimation and testing for variation root-cause identification of multistage manufacturing processes. IEEE Transactions on Automation Science and Engineering, 1 (1), 73-83.