Iterative Fixture Layout and Clamping Force Optimization Using the Genetic Algorithm

[+] Author and Article Information
Krishnakumar Kulankara, Srinath Satyanarayana, Shreyes N. Melkote

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

J. Manuf. Sci. Eng 124(1), 119-125 (Feb 01, 2001) (7 pages) doi:10.1115/1.1414127 History: Received July 01, 2000; Revised February 01, 2001
Copyright © 2002 by ASME
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King,  L. S., and Hutter,  I., 1993, “Theoretical Approach for Generating Optimal Fixturing Locations for Prismatic Workparts in Automated Assembly,” J. Manuf. Syst., 12, No. 5, pp. 409–416.
De Meter,  E. C., 1995, “Min-Max Load Model for Optimizing Machine Fixture Performance,” ASME J. Eng. Ind., 117, pp. 186–183.
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.
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, pp. 485–493.
Lee,  J. D., and Haynes,  L. S., 1987, “Finite Element Analysis of Flexible Fixturing System,” ASME J. Eng. Ind., 109, No. 2, pp. 134–139.
Menassa,  R. J., and DeVries,  W. R., 1991, “Optimization Methods Applied to Selecting Support Positions in Fixture Design,” ASME J. Eng. Ind., 113, pp. 412–418.
Liao,  Y. J., and Hu,  S. J., 1998, “Fixture Layout Optimization Considering Workpiece-Fixture Contact Interaction: Simulation Results,” Transactions of NAMRI/SME, 26, pp. 341–346.
Cai,  W., Hu,  S. J., and Yuan,  J. X., 1996, “Deformable Sheet Metal Fixturing: Principles, Algorithms and Simulations,” ASME J. Manuf. Sci. Eng., 118, pp. 318–324.
De Meter,  E. C., 1998, “Fast Support Layout Optimization,” Int. J. Mach. Tools Manuf., 38, No. 10–11, pp. 1221–1239.
De Meter,  E. C., and Sayeed,  Q. A., 1999, “Mixed Integer Programming Model for Fixture Layout Optimization,” ASME J. Manuf. Sci. Eng., 121, pp. 701–708.
Wu,  N. H., and Chan,  K. C., 1996, “A Genetic Algorithm Based Approach to Optimal Fixture Configuration,” Computers and Industrial Engineering, 31, No, 3–4, pp. 919–924.
Ishikawa,  Y., and Aoyama,  T., 1996, “Optimization of Fixturing Condition by Means of the Genetic Algorithm,” Trans. Jpn. Soc. Mech. Eng., Ser. C, 65, No. 598, pp. 2409–2416.
Lee,  J., Hu,  S. J., and Ward,  A. C., 1999, “Work Space Synthesis for Flexible Fixturing of Stampings,” Trans. ASME, 121, pp. 478–484.
Krishnakumar,  K., and Melkote,  S. N., 1999, “Machining Fixture Layout Optimization Using the Genetic Algorithm,” Int. J. Mach. Tools Manuf., 40, No. 4, pp. 579–598.
Goldberg, E. D., Genetic Algorithms in Search, Optimization and Machine Learning, Addison Wesley Publishing Company, Inc.
ALGOR® , 1998, A Guide to Linear Static and Dynamic Stress Analysis, Algor Inc.
Fu,  H. J., DeVor,  R. E., and Kapoor,  S. G., 1984, “A Mechanistic Model for the Prediction of the Force System in Face Milling Operations,” ASME J. Eng. Ind., 106, pp. 81–88, Feb.
Krishnakumar, K., 1999, “Machining Fixture Synthesis Using the Genetic Algorithm,” M. S. Thesis, Georgia Institute of Technology, Atlanta.
Levine, D., 1996, User’s Guide to the PGAPack Parallel Genetic Algorithm Library, Argonne National Laboratory, http://www.mcs.anl.gov/home/levine/PGAPACK.
Press, W. H., Teukolsky, S. A., Vettering, W. T., and Flannery, B. P., 1992, Numerical Recipes in C, Cambridge University Press, NY.
Flanigan, C. C., 1998, “Model Reduction Using Guyan, IRS, and Dynamic Methods,” Proceedings of the International Modal Analysis Conference, Vol. 1, pp. 172–176.
DeMeter, E. C., Vallapuzha, S., Choudhuri, S., and Khetan, R. P., 2000, “Support Layout Optimization of Machining Fixtures Using the Genetic Algorithm,” Proceedings of the 7th Mechatronics Forum International Conference, Atlanta, GA, September 6–8.


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Block diagram of the overall process
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Layout optimization procedure
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Clamping force optimization procedure
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Finite element model of the workpiece
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End milling cutting force distribution
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Candidate regions for the locators and clamps
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Convergence of GA for layout optimization
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Convergence of GA for clamping force optimization
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Iterative optimization procedure
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Convergence of GA for various runs of the iterative procedure
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Optimum layout using the iterative procedure




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