This content is not included in your SAE MOBILUS subscription, or you are not logged in.
Optimization Methods Applied to Determine Clamping Forces in Fixture Design
ISSN: 0148-7191, e-ISSN: 2688-3627
Published March 01, 1999 by SAE International in United States
Annotation ability available
This paper presents an optimization technique for clamping forces determination in fixture design. First, the finite element analysis (FEA) is applied to determine the coefficients of compliant matrix of a fixture-workpiece system subjected to machining and clamping forces. Then, a nonlinear optimization model is constructed in terms of the FEA results and mechanical and geometrical constraints. The optimization model is derived to determine the feasible clamps under the corresponding force effects. The optimal magnitude and direction of clamping forces minimize the workpiece deformation at particular key points. Finally, a scaled engine block with the 3-2-1 fixturing principle is given as an example.
CitationLiao, Y., "Optimization Methods Applied to Determine Clamping Forces in Fixture Design," SAE Technical Paper 1999-01-0414, 1999, https://doi.org/10.4271/1999-01-0414.
SAE 1999 Transactions - Journal of Materials & Manufacturing
Number: V108-5 ; Published: 2000-09-15
Number: V108-5 ; Published: 2000-09-15
- Lee, S. H. and Cutkosky, M. R., 1991, “Fixture Planning with Friction”, ASME Journal of Engineering for Industry, Vol. 113, pp. 320-326.
- Fuh, J. Y. H. and Nee, A. Y. C., 1994, “Verification and Optimization of Workholding Schemes for Fixture Design”, Journal of Design and Manufacturing, Vol. 4, pp. 307-318.
- Sayeed, Q. A. and DeMeter, E. C., 1994, “Machining Fixture Design and Analysis Software”, International Journal of Production Research, Vol. 32, No. 7, pp. 1655-1674.
- Wu, N. H., Chan, K. C., and Leong, S. S., 1995, “Fixturing Verification Based on the Analysis of Multi-Discipline Frictional Contacts”, Proceedings of International Mechanical Engineering Congress and Exposition, ASME, MED-Vol. 2-1/MH-Vol. 3-1, pp. 735-745.
- King, L. S. B. and Ling, F. F., 1995, “A Force Analysis Based Analytical Framework for Automatic Fixture Configuration”, Proceedings of International Mechanical Engineering Congress and Exposition ASME, MED-Vol. 2-1/MH-Vol. 3-1, pp. 789-804.
- Jeng, S. L., Chen, L. G., Chieng, W. H., 1995, “Analysis of Minimum Clamping Force”, International Journal of Machine Tools and Manufacture, Vol. 35, No. 9, pp. 1213-1224.
- Trappey, A. J. C., Su, C. S., and Hou, J. L., 1995, “Computer-Aided Fixture Analysis Using Finite Element Analysis and Mathematical Optimization Modeling”, Proceedings of International Mechanical Engineering Congress and Exposition, ASME, MED-Vol. 2-1/MH-Vol. 3-1, pp. 777-787.
- Bella, D. and Reymond, M., Editors, 1997 MSC/NASTRAN, DMAP Module Dictionary, The MacNeal-Schwendler Corp., Los Angeles, CA.
- Timoshenko, S. P. and Goodier, J. N., 1970, Theory of Elasticity, 3rd Edition, McGraw-Hill Book Company, Inc., NY.
- Williams, J. A., 1994, Engineering Tribology, Oxford University Press.
- Shawki, G. S. A. and Abdel-Aal, M. M., 1966a, “Rigidity Considerations in Fixture Design-Contact Rigidity at Locating Elements”, International Journal of Machine Tool Design and Research, Vol. 6, pp. 31-43.
- Shawki, G. S. A. and Abdel-Aal, M. M., 1966b, “Rigidity Considerations in Fixture Design-Rigidity of Clamping Elements”, International Journal of Machine Tool Design and Research, Vol. 6, pp. 207-220.
- Liao, Y. J., Hu, S. J., and Stephenson, D. A., 1998, “Fixture Layout Optimization Considering Workpiece-Fixture Contact Interaction: Simulation Results”, Transactions of NAMRI/SME, Vol. XXVI, pp. 341-346.
- Crane, R. L., Hailstorm, K. E., and Minkoff, M., 1980, Solution of the General Nonlinear Programming Problem with Subroutine VMCON, Argonne National Laboratory.