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TECHNICAL PAPERS

Three-Dimensional Tube Geometry Control for Rotary Draw Tube Bending, Part 2: Statistical Tube Tolerance Analysis and Adaptive Bend Correction

[+] Author and Article Information
Huazhou Lou, Kim A. Stelson

Department of Mechanical Engineering, University of Minnesota, Minneapolis, MN 55455

J. Manuf. Sci. Eng 123(2), 266-271 (Mar 01, 2000) (6 pages) doi:10.1115/1.1351812 History: Received August 01, 1999; Revised March 01, 2000
Copyright © 2001 by ASME
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References

Wang,  W. C., and Stelson,  K. A., 1991, “Computer Aided Manufacturing for Three-dimensional Tube Bending with On-line Springback Compensation,” Trans. North Am. Manufact. Res. Inst. SME, 19, pp. 70–76.
Li, H. Z., and Stelson, K. A., 1994, “Modeling of Thin-Walled Tube Bending at Large Deformation,” Proceedings of the First S.M. Wu Symposium on Manufacturing Science, 1 , pp. 237–246.
von Karman,  T. H., 1911, “Uber die Formanderung dunnwandiger rohre insbesonders federnder Ausgleichrohre,” Zeits VDI, 55, pp. 1889–1895.
Den Hartog, J. P., 1952, Advanced Strength of Materials, McGraw-Hill, New York, pp. 234–245.
Li,  H. Z., Fagerson,  R., and Stelson,  K. A., 1994, “A Method of Adaptive Control of Rotary Draw Thin-walled Tube Bending with Springback Compensation,” Trans. North Am. Manufact. Res. Inst. SME, 22, pp. 25–28.
Pan,  K., and Stelson,  K. A., 1995, “On the Plastic Deformation of a Tube During Bending,” ASME J. Eng. Ind., 117, pp. 494–500.
Bauer,  D., and Khodayari,  G., 1992, “In-process Compensation of Tube Springback During Bending,” Baender Bleche Rohre , 33, No. 7, pp. 27–37.
Sabine,  J., 1993, “Material Properties in Bending Tube,” Tube International, 12, No. 52, January, pp. 34–36.
Wang,  Y., Gupta,  S., Hulting,  F., and Fussell,  P. S., 1998, “Manufactured Part Modeling for Characterization of Geometric Errors of Automotive SpaceFrames Extrusions,” ASME J. Manuf. Sci. Eng., 120, No. 3, August, pp. 523–531.
Decker,  K. M., 1991, “The Monte Carlo Method in Science and Engineering: Theory and Application,” Comput. Methods Appl. Mech. Eng., 89, pp. 463–483.
Taylor, B. N., and Kuyatt, C. E., 1994, “Guideline for Evaluating and Expressing the Uncertainty of NIST Measurement Results,” NIST Technical Note 1297.
Montgomery, D. C., and Peck, E. A., 1982, Introduction to Linear Regression Analysis, Wiley, New York.
Lou, H., and Stelson, K. A., 1996, “Relating Process and Product Tolerance for Three-Dimensional Tube Bending,” Proceedings of the Second S.M. Wu Symposium on Manufacturing Science, 1 , pp. 78–82.
Stelson,  K. A., and Lou,  H., 1995, “Tolerance Analysis of Three-dimensional Tube Bending: Worst Case and Statistical Methods,” Trans. North Am. Manufact. Res. Inst. SME, 23, pp. 293–298.

Figures

Grahic Jump Location
Tube fitting into a fixture
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Histogram of allowable bend angle errors
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Empirical model for allowable bend angle error
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Adaptive bend correction
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Shape of the experimental tube
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ABC improvement vs. δθm/δθb for a seven bend tube of Fig. 5

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