State space modeling for 3-D variation propagation in rigid-body multistage assembly processes

IEEE Transactions on Automation Science and Engineering

Volumn 7, Issue 2, 2010, Pages 274-290

  Liu, Jian ^a   Jin, Jionghua ^b   Shi, Jianjun ^c  

^a University of Arizona   (United States)

^b UNIVERSITY OF MICHIGAN   (United States)

^c Georgia Institute of Technology   (United States)

Author keywords

Differential motion vector; Dimensional variation propagation; Multistage assembly process; State space model

Indexed keywords

ASSEMBLY PROCESS; CO-ORDINATE SYSTEM; DIMENSIONAL VARIATIONS; ENABLING TECHNIQUES; FABRICATION PROCESS; GENERIC MECHANISM; HOMOGENEOUS TRANSFORMATIONS; MODELING AND ANALYSIS; MOTION VECTORS; PRODUCT QUALITY; RIGID BODY; STATE SPACE APPROACH; STATE-SPACE MODELING; VARIATION PROPAGATION;

ASSEMBLY; COORDINATE MEASURING MACHINES; STATE SPACE METHODS; VECTOR SPACES;

THREE DIMENSIONAL;

EID: 77950830990     PISSN: 15455955     EISSN: None     Source Type: Journal    
DOI: 10.1109/TASE.2009.2012435     Document Type: Article

References (24)

1. J. Shi, Stream of Variation Modeling and Analysis for Multistage Manfuacturing Processes, ISBN: 0-8493-2151-4. Boca Raton, FL: CRC, Taylor &Francis, 2006, p. 469.
2. J. F. Lawless, R. J. Mackay, and J. A. Robinson, "Analysis of variation transmission in manufacturing processes-Part I," J. Qual. Technol., vol.31, no.2, pp. 131-142, Apr. 1999.
3. R. Agrawal, J. F. Lawless, and R. J. Mackay, "Analysis of variation transmission in manufacturing processes-Part II," J. Qual. Technol., vol.31, no.2, pp. 143-154, Apr. 1999.
4. R. Mantripragada and D. E. Whitney, "The datum flow chain: A systematic approach to assembly design and modeling," Res. Eng. Design- Theory Applicat. Concurrent Eng., vol.10, no.3, pp. 150-165, 1998.
5. R. Mantripragada and D. E. Whitney, "Modeling and controlling variation propagation in mechanical assemblies using state transition models," IEEE Trans. Rob. Autom., vol.15, no.1, pp. 124-140, Feb. 1999.
6. J. Jin and J. Shi, "State space modeling of sheet metal assembly for dimensional control," ASME Trans., J. Manuf. Sci. Eng., vol.121, pp. 756-762, 1999. (Pubitemid 129675384)
7. Q. Huang, J. Shi, and J. Yuan, "Part dimensional error and its propagation modeling in multi-operational machining processes," ASME Trans. J. Manuf. Sci. Eng., vol.125, pp. 255-262, 2003.
8. S. Zhou, Q. Huang, and J. Shi, "State space modeling of dimensional variation propagation in multistage machining process using differential motion vectors," IEEE Trans. Rob. Autom., vol.19, no.2, pp. 296-309, Apr. 2003.
9. W. Huang, J. Lin, and Z. Kong, "Stream-of-variation (Sova) modeling II: A generic 3-D variation model for rigid body assembly in multi station assembly processes," Trans. ASME, J. Manuf. Sci. Eng., vol.129, no.4, pp. 832-842, 2007. (Pubitemid 47437109)
10. CETOL 6 Sigma, Sigmetrix LLC, [Online]. Available: http://www.sigmetrix. com/
11. 3-DCS, Dimensional Control Systems, Inc., [Online]. Available: http:// www.3dcs.com
12. Z. Shen, "Tolerance analysis with EDS/VisVSA," ASME J. Comput. Inf. Sci. Eng., vol.3, no.1, pp. 95-99, 2003.
13. Dimensioning and tolerancing, ANSI/ASME Y14.5M, Amer. Soc. Mech. Eng., 1994.
14. R. Jayaraman and V. Srinivasan, "Geometric tolerancing: I. Virtual boundary requirements," IBM J. Res. Develop., vol.33, no.2, pp. 90-104, 1989.
15. Y. Wu, J. J. Shah, and J. K. Davidson, "Computer modeling of geometric variations in mechanical parts and assemblies," ASME J. Comput. Inf. Sci. Eng., vol.3, no.1, pp. 54-63, 2003.
16. H. Z. Yau, "Generalization and evaluation of vectorial tolerances," Int. J. Prod. Res., vol.35, no.6, pp. 1763-1783, 1997.
17. R. P. Paul, Robot Manipulators: Mathematics, Programming, and Control. Cambridge, MA: MIT Press, 1981, p. 279.
18. J. Camelio, S. J. Hu, and D. Ceglarek, "Modeling variation propagation of multi-station assembly systems with complaint parts," ASME Trans. J. Mech. Design, vol.125, pp. 673-681, 2003.
19. M. Chang and D. C. Gossard, "Modeling the assembly of compliant, non-ideal parts," Comput.-Aided Design, vol.29, no.10, pp. 701-708, 1997. (Pubitemid 127427607)
20. B. Shiu, D. Ceglarek, and J. Shi, "Flexible beam-based modeling of sheet metal assembly for dimensional control," Trans. NAMRI/SME, vol.25, pp. 49-54, 1997.
21. S. C. Liu and S. J. Hu, "Variation simulation for deformable sheet metal assemblies using finite element methods," ASME J. Manuf. Sci. Eng., vol.119, pp. 368-374, 1997.
22. W. Cai, S. J. Hu, and J. X.Yuan, "A variational method of robust fixture configuration design for 3-D workpieces," J. Manuf. Sci. Eng.-Trans. ASME, vol. 119, no. 4A, pp. 593-602, Nov. 1997.
23. W. Cai, "A new tolerance modeling and analysis methodology through a two-step linearization with applications in automotive body assembly," J. Manuf. Syst., vol.27, no.1, pp. 26-35, 2008.
24. S. Zhou et al., "Diagnosability study of multistage manufacturing processes based on linear mixed-effects models," Technometrics, vol.45, no.4, pp. 312-325, 2003.