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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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