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A Simple Modelling Method for Deflection of Circular Plates Under Impulsive Loading using Dimensionless Analysis and Singular value Decomposition

Published online by Cambridge University Press:  05 May 2011

H. Gharababaei ,
N. Nariman-zadeh  and
A. Darvizeh
H. Gharababaei*
Affiliation:
Department of Mechanical Engineering, Engineering Faculty, The University of Guilan P.O. Box 3756, Rasht, IRAN
N. Nariman-zadeh*
Affiliation:
Department of Mechanical Engineering, Engineering Faculty, The University of Guilan P.O. Box 3756, Rasht, IRAN Intelligent-based Experimental Mechanics Center of Excellence, School of Mechanical Engineering, Faculty of Engineering, University of Tehran, Tehran, IRAN
A. Darvizeh*
Affiliation:
Department of Mechanical Engineering, Engineering Faculty, The University of Guilan P.O. Box 3756, Rasht, IRAN
*
*Assistant Professor, corresponding author
**Professor
**Professor
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Abstract

A novel approach of numerical modelling using input-output experimental data pairs is presented for deflection-thickness ratio of circular plates subjected to impulse loading. In this way, singular value decomposition (SVD) method is used in conjunction with dimensionless parameters incorporated in such complex process. The closed-form obtained model shows very good agreement with some testing experimental data pairs which have been unforeseen during the training process. Moreover, two modifications are consequently suggested for some similar models already proposed in previous works. The approach of this paper can generally be applied to model very complex real-world processes using appropriate experimental data.

Keywords

ImpulseDimensionless analysisSVD.
Type
Articles
Information
Journal of Mechanics , Volume 26 , Issue 3 , September 2010 , pp. 355 - 361
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2010

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References

1.Nurick, G. N. and Martin, J. B., “Deformation of Thin Plates Subjected to Impulsive Loading a Review. Part I: Theoretical Consideration,” International Journal of Impact Engineering, 8, pp. 159–169 (1989).CrossRefGoogle Scholar
2.Nurick, G. N. and Martin, J. B., “Deformation of Thin Plates Subjected to Impulsive Loading a Review. Part II: Experimental Studies,” International Journal of Impact Engineering, 8, pp. 171–186 (1989).CrossRefGoogle Scholar
3.Teeling-smith, R. G. and Nurick, G. N., “The Deformation and Tearing of Thin Circular Plates Subjected to Impulsive Loads,” International Journal of Impact, 11, pp. 77–91 (1991).CrossRefGoogle Scholar
4.Mynors, D. J. and Zang, B., “Application and Capabilities of Explosive Forming,” Journal of Material Processing Technology, 125, pp. 1–25 (2002).CrossRefGoogle Scholar
5.Johnson, W., “Liberator on Explosive Forming,” CME-CharteredMechanics Engineering, 34, p. 11 (1987).Google Scholar
6.Jones, N., “Impulsive Loading of a Simply Supported Circular Rigid-Plastic Plates,” Trans Journal of Applied Mechanics, ASME, 3, pp. 59–65 (1968).CrossRefGoogle Scholar
7.Hudsun, G. E., “A Theory of the Dynamic Plastic Deformation of a Thin Diaphragm,” Journal of Applied Physica, 22, pp. 1–11 (1951).CrossRefGoogle Scholar
8.Symonds, P. S. and Wierzbicki, T., “Member Mode Solution for Impulsively Loaded Circular Plates,” Journal of Applied Mechanics, 46, pp. 58–64 (1979).CrossRefGoogle Scholar
9.Lipman, H., “Kinetics of the Ax Symmetric Rigid-Plastic Membrane Supplied to Initial Impact,” International Journal of Mechanics science, 16, pp. 297–303, 945–947 (1974).CrossRefGoogle Scholar
10.Jones, N, Structural impact. Cambridge University Press,(1997).Google Scholar
11.Batra, R. C. and Dubey, R. N., “Impulsively Loaded Circular Plates,” International Journal of Solids and Structures, 7, pp. 965–978 (1971).CrossRefGoogle Scholar
12.Bodner, S. R. and Symonds, P. S., “Experimental on Viscoplastic Response of Circular Plates to Impulsive Loading,” Journal of Mechanics Physics solids, 27, pp. 91–113 (1979).CrossRefGoogle Scholar
13.Nariman zadeh, N., Darvizeh, A., Felezi, M. E. and Gharababaei, H., “Polynomial Modeling of Explosive Compaction Process of Metallic Powders Using GMDH-Type Neural Network and Singular Value Decomposition,” Materials science engineering, 10, pp. 727–744 (2002).Google Scholar
14.Taylor, E. S., Dimensionless analysis for engineers (oxford: Clarendon) (1994).Google Scholar
15.Johnson, W., Impact strength of materials, Edward arndd, London (1972).Google Scholar
16.Golub, G. H. and Reinsch, C., “Singular Value Decomposition and Least Squares Solutions,” Numerische Mathematik, 14, pp. 403–420 (1970).CrossRefGoogle Scholar
17.Press, W. H., Teukolsky, S. A., Vetterling, W. T. and Flannery, B. P., Numerical Recipes in FORTRAN: The Art of Scientific Computing, 2nd Ed., Cambridge University Press, Cambridge (1992).Google Scholar