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TECHNICAL PAPERS

Improved Algorithm for Tolerance-Based Stiffness Optimization of Machining Fixtures

[+] Author and Article Information
José F. Hurtado, Shreyes N. Melkote

The George W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA 30332

J. Manuf. Sci. Eng 123(4), 720-730 (May 01, 2001) (11 pages) doi:10.1115/1.1403446 History: Received March 01, 2000; Revised May 01, 2001
Copyright © 2001 by ASME
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References

Shawki,  G. S. A., and Abdel-Aal,  M. M., 1965, “Effect of Fixture Rigidity and Wear on Dimensional Accuracy,” Int. J. Mach. Tool Des. Res., 5, pp. 183–202.
Shawki,  G. S. A., and Abdel-Aal,  M. M., 1966, “Rigidity Considerations in Fixture Design-Rigidity of Clamping Elements,” Int. J. Mach. Tool Des. Res., 6, pp. 207–220.
Shawki,  G. S. A., and Abdel-Aal,  M. M., 1966, “Rigidity Considerations in Fixture Design-Contact Rigidity at Locating Elements,” Int. J. Mach. Tool Des. Res., 6, pp. 31–43.
Shawki,  G. S. A., and Abdel-Aal,  M. M., 1967, “Rigidity Considerations in Fixture Design-Contact Rigidity for Eccentric Clamping,” Int. J. Mach. Tool Des. Res., 7, pp. 195–209.
Asada,  H., and By,  A., 1985, “Kinematic Analysis of Workpart Fixturing For Flexible Assembly with Automatically Reconfigurable Fixtures,” IEEE Trans. Rob. Autom., RA-1, No. 2, June, pp. 86–94.
Chou,  Y. C., Chandru,  V., and Barash,  M. M., 1989, “A Mathematical Approach to Automatic Configuration of Machining Fixtures: Analysis and Synthesis,” ASME J. Eng., Ind., 111, No. 4, pp. 299–306.
Lee,  J. D., and Haynes,  L. S., 1987, “Finite-Element Analysis of Flexible Fixturing System,” ASME J. Eng., Ind., 109, pp. 134–139.
Melkote, S. N., Athavale, S. M., DeVor, R. E., Kapoor, S. G., and Burkey, J. J., 1995, “Prediction of the Reaction Force System for Machining Fixtures Based on the Machining Process Simulation,” Transactions of the North American Manufacturing Research Institution of SME, Vol. 23 , pp. 207–214.
Chandra, P., Athavale, S. M., De Vor, R. E., and Kapoor, S. G., 1996, “Effect of Preloads on the Surface Flatness During Fixturing of Flexible Workpieces,” Proceedings of the Second Wu Symposium on Manufacturing Science, Vol. 2, pp. 146–152.
Cai,  W., Hu,  S. J., and Yuan,  J. X., 1996, “Deformable Sheet Metal Fixturing: Principles, Algorithms and Simulations,” ASME J. Manuf. Sci. Eng., 118, No. 3, pp. 318–324.
Sayeed,  Q. A., and DeMeter,  E. C., 1999, “Mixed-Integer Programming Model for Fixture Layout Optimization,” ASME J. Manuf. Sci. Eng., 121, No. 4, pp. 701–708.
Sinha,  P. R., and Abel,  J., 1992, “A Contact Stress Model for Multifingered Grasps of Rough Objects,” IEEE Trans. Rob. Autom., 8, No. 1, pp. 7–22.
Hockenberger,  M. J., and De Meter,  E. C., 1996, “The Application of Meta Functions to the Quasi-Static Analysis of Workpiece Displacement within a Machining Fixture,” ASME J. Manuf. Sci. Eng., 118, pp. 325–331.
Hurtado, J. F., and Melkote, S. N., 1998, “A Model for the Prediction of Reaction Forces in a 3-2-1 Machining Fixture,” NAMRC Transactions, Vol. 26 , pp. 335–340.
Li,  B., and Melkote,  S. N., 1999, “An Elastic Contact Model for the Prediction of Workpiece-Fixture Contact Forces in Clamping,” ASME J. Manuf. Sci. Eng., 121, No. 3, pp. 485–493.
Li,  B., and Melkote,  S. N., 1999, “Improved Workpiece Location Accuracy Through Fixture Layout Optimization,” Int. J. Mach. Tools Manuf., 39, pp. 871–883.
Li, B., and Melkote, S. N, 2000, “A Minimum Clamping Force Algorithm for Machining Fixtures,” Transactions of NAMRI/SME, Vol. XXVIII, pp. 407–412.
Hurtado, J. F., and Melkote, S. N., 2000, “Tolerance-Based Stiffness Optimization of Machining Fixtures,” Proceedings of the Japan-USA Symposium on Flexible Automation (on CD-ROM), July 23–26, 2000, Ann Arbor, MI, p. 1–8.
Barozzi, G., 1988, U.S. Patent #4,936,560.
Puttmer, H., and Abraham, P., 1996, U.S. Patent #5,690,323.
Soderberg, M., Starr, R., Cook, L., and Thomas, R., 1998, U.S. Patent #5,722,646.
Kalker,  J. J., 1977, “Variational Principles of Contact Elastostatics,” J. Inst. Math. Appl., 20, pp. 199–219.
Johnson, K. L., 1985, Contact Mechanics, Cambridge University Press.
Bras, B., and Mistree, F., 1993, “Compromise Decision Support Problem for Axiomatic and Robust Design,” Advances in Design Automation, ASME DE-Vol. 65, pt 1, pp. 359–369.
Hills, D. A., Nowell, D., and Sackfield, A., 1993, Mechanics of Elastic Contacts, Boston, Butterworth-Heinemann.

Figures

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Pin-array type flexible fixtures: (left) flexible workpiece support for automatic machining lines (U.S. Patent 4,936,560), (right) flexible tooling apparatus (U.S. Patent 5,722,646)
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(a) Pin-array type locators and clamps (b) equivalent locators and reaction forces (c) fixture stiffness model-Example 1
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(a) Hydraulic clamp (b) model of the clamp normal stiffness
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Stiffness optimization flowchart
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Rigid body motion of the workpiece
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Design variables of the array of pins
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Top view of a 4-2-1 dedicated machining fixture-Example 2
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Equivalent locators, contact and machining forces acting on the workpiece-Example 2

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