Fluid–Structure Interaction Effects in the Dynamic Response of Free-Standing Plates to Uniform Shock Loading

[+] Author and Article Information
Nayden Kambouchev

Department of Aeronautics and Astronautics, Massachusetts Institute of Technology, Cambridge, MA 02139

Raul Radovitzky1

Department of Aeronautics and Astronautics, Massachusetts Institute of Technology, Cambridge, MA 02139rapa@mit.edu

Ludovic Noels

Department of Aeronautics and Astronautics, Massachusetts Institute of Technology, Cambridge, MA 02139; LTAS-Milieux Continus & Thermomécanique, University of Liège, Chemin des Chevreuils 1, B-4000 Liège, Belgium


Corresponding author.

J. Appl. Mech 74(5), 1042-1045 (Sep 16, 2006) (4 pages) doi:10.1115/1.2712230 History: Received July 04, 2006; Revised September 16, 2006

The problem of uniform shocks interacting with free-standing plates is studied analytically and numerically for arbitrary shock intensity and plate mass. The analysis is of interest in the design and interpretation of fluid–structure interaction (FSI) experiments in shock tubes. In contrast to previous work corresponding to the case of incident blast profiles of exponential distribution, all asymptotic limits obtained here are exact. The contributions include the extension of Taylor’s FSI analysis for acoustic waves, the exact analysis of the asymptotic limits of very heavy and very light plates for arbitrary shock intensity, and a general formula for the transmitted impulse in the intermediate plate mass range. One of the implications is that the impulse transmitted to the plate can be expressed univocally in terms of a single nondimensional compressible FSI parameter.

Copyright © 2007 by American Society of Mechanical Engineers
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Grahic Jump Location
Figure 1

Incident and reflected shock waves; (a) incident shock wave, (b) reflected shock wave

Grahic Jump Location
Figure 2

Impulse transmission as function of the compressible parameter βs for different values of the incident overpressure ps∕p0



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