Dimensional Errors of Fixtures, Locating and Measurement Datum Features in the Stream of Variation Modeling in Machining

[+] Author and Article Information
Dragan Djurdjanovic, Jun Ni

Department of Mechanical Engineering, University of Michigan, Ann Arbor, MI 48109-2125

J. Manuf. Sci. Eng 125(4), 716-730 (Nov 11, 2003) (15 pages) doi:10.1115/1.1621424 History: Received December 01, 2001; Revised June 01, 2003; Online November 11, 2003
Copyright © 2003 by ASME
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Hu,  S., and Wu,  S. M., 1992, “Identifying Root Causes of Variation in Auto-Body Assembly Using Principal Component Analysis,” Transactions of NAMRI,20, pp. 311–316.
Roan,  C. M., and Hu,  S. J., 1995, “Monitoring and Classification of Dimensional Faults in Automotive Body Assembly,” International Journal of Flexible Manufacturing Systems,7(2), pp. 103–125.
Ceglarek,  D., and Shi,  J., 1995, “Dimensional Variation Reduction for Automotive Body Assembly,” Manufacturing Review,8, pp. 139–154.
Ceglarek,  D., and Shi,  J., 1996, “Fixture Failure Diagnosis for the Autobody Assembly Using Pattern Recognition,” ASME J. Ind. Eng., 118(1), pp. 55–66.
Yang,  K., 1996, “Improving Automotive Dimensional Quality by Using Principal Component Analysis,” International Journal of Quality and Reliability,12(6), pp. 401–409.
Hu,  S. J., 1997, “Stream of Variation Theory for Automotive-Body Assembly,” CIRP Ann., 46(1), pp. 1–6.
Jin,  J., and Shi,  J., 1999, “State Space Modeling of Sheet Metal Assembly for Dimensional Control,” ASME J. Manuf. Sci. Eng., 121(4), pp. 756–762.
Ding, Y., Ceglarek, D., and Shi, J., 2000, “Modeling and Diagnosis of Multistage Manufacturing Processes, Part I—State Space Model,” Japan-USA Symposium, Ann Arbor, Michigan.
Ding, Y., Ceglarek, D., and Shi, J., 2000, “Modeling and Diagnosis of Multistage Manufacturing Processes, Part II—Fault Diagnosis,” Japan-USA Symposium, Ann Arbor, Michigan.
Appley,  D., and Shi,  J., 1998, “Diagnosis of Multiple Fixture Faults in Panel Assembly,” ASME J. Manuf. Sci. Eng., 120, pp. 793–801.
Ceglarek,  D., Shi,  J., and Wu,  S. M., 1994, “A Knowledge-Based Diagnostic Approach for the Launch of the Auto-Body Assembly Processes,” ASME J. Eng. Ind., 116, pp. 491–499.
Ding,  Y., Ceglarek,  D., and Shi,  J., 2002, “Fault Diagnosis of Multi-Stage Manufacturing Processes by Using State Space Approach,” ASME J. Manuf. Sci. Eng., 124, pp. 313–322.
Zhou, S., Ding, Y., Chen, Y., and Shi, J., 2003, “Variance Components Analysis Methods for Diagnosability of Multi-Stage Manufacturing Systems,” Technometrics, November.
Ding,  Y., Shi,  J., and Ceglarek,  D., 2002, “Diagnosability Analysis of Multi-Station Manufacturing Processes,” ASME J. Dyn. Syst., Meas., Control, 124, pp. 1–13.
Khan,  A., Ceglarek,  D., and Ni,  J., 1998, “Sensor Location Optimization for Fault Diagnosis in Multi-Fixture Assembly Systems,” ASME J. Manuf. Sci. Eng., 120, pp. 781–792.
Mantripragada,  R., and Whitney,  D. E., 1999, “Modeling and Controlling Variation Propagation in Mechanical Assemblies Using State Transition Models,” IEEE Trans. Rob. Autom., 15(1), pp. 124–140.
Huang, Q., Zhou, N., and Shi, J., 2000, “Stream of Variation Modeling and Diagnosis of Multi-Station Machining Processes,” Proc. of IMECE 2001, Orlando, FL.
Djurdjanovic,  D., and Ni,  J., 2001, “Linear State Space Modeling of Dimensional Machining Errors,” Trans. of NAMRI/SME,29, pp. 541–548.
Zhou,  S., Huang,  Q., and Shi,  J., 2003, “State Space Modeling of Multi-Stage Machining Systems by Using Differential Motion Vector,” IEEE Trans. Rob. Autom., 19(2), pp. 296–309.
Djurdjanovic, D., 2002, “Stream of Variation Modeling of Machining Errors and Its Applications,” Doctoral Dissertation, University of Michigan.
Djurdjanovic, D., and Ni, J., 2001, “Stream of Variation Based Analysis and Synthesis of Measurement Schemes in Multi-Station Machining Systems,” Proc. of the ASME IMECE 2001.
Whitney,  D. E., Gilbert,  O. L., and Jastrzebski,  M., 1994, “Representation of Geometric Variations Using Matrix Transforms for Statistical Tolerance Analysis in Assemblies,” Res. Eng. Des., 6, pp. 191–210.
Cai,  W., Hu,  S. J., and Yuan,  J. X., 1997, “A Variational Method of Robust Fixture Design for 3-D Worpieces,” ASME J. Manuf. Sci. Eng., 119, pp. 593–602.
Asada,  H., and By,  A. B., 1985, “Kinematic Analysis of Workpart Fixturing for Flexible Assembly With Automatically Reconfigurable Fixtures,” IEEE J. Rob. Autom., RA-1, pp. 86–94.
Slocum, A. H., 1992, Precision Machine Design, Prentice Hall, pp. 58–114.
Rong, Y., and Bai, Y., 1995, “Locating Error Analysis for Computer-Aided Fixture Design and Verification,” Proc. of the ASME Computers in Engineering Database Symposium, pp. 825–831.
Rugh, W. J., 1996, Linear System Theory, Prentice Hall, pp. 462–476.
VSA, 1998, “VSA-3D Release 12.5, User Manual,” Variation System Analysis, Inc., 300 Maple Park Blvd., St. Clair Shores, MI 48081.
Frey, D. D., 2000, http://design.mit.edu/ddfrey/MVAA_i intro.htm
Frey, D. D., Otto, K. N., and Pflager, W., 1997, “Swept Envelopes of Cutting Tools in Integrated Machine and Workpiece Error Budgeting,” Annals of the CIRP, 46 (1), pp. 475–480.


Grahic Jump Location
Flow-chart of the linear state space modeling of dimensional machining errors
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Two-dimensional rectangular part shown in plot (a) is located into the machining station using a fixture used shown in plot (b). Locating is accomplished using features 1 and 2 as locating datum features, as indicated in plot (c).
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Translation OMFOMF⃗ and rotation ΔεzMF(k) of the coordinate system MF induced by errors Δf⃗(k) in the fixture parameters
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Translation OLOMF⃗ and rotation ΔεzP(k) of the workpiece and the attached part coordinate system P induced by the errors in the position and orientation of the locating datum features 1 and 2
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Errors in the measurement datum features 3 and 4 induce a rotation Δε̄zP0(k) and translation OPOP⃗ of the coordinate system P defined by the actual measurement features with respect to the coordinate system P defined by the nominal measurement datum features
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Cylinder head used to validate the modeling procedures presented in this paper




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