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Research Papers

On the Role of Fluid–Structure Interaction on Structural Loading by Pressure Waves in Air

[+] Author and Article Information
Hannes L. Gauch

Department of Aeronautics,
Imperial College London,
London SW7 2AZ, UK

Francesco Montomoli

Department of Aeronautics,
Imperial College London,
London SW7 2AZ, UK

Vito L. Tagarielli

Department of Aeronautics,
Imperial College London,
London SW7 2AZ, UK
e-mail: v.tagarielli@imperial.ac.uk

1Corresponding author.

Contributed by the Applied Mechanics Division of ASME for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received February 19, 2018; final manuscript received July 18, 2018; published online August 6, 2018. Assoc. Editor: N. R. Aluru.

J. Appl. Mech 85(11), 111007 (Aug 06, 2018) (11 pages) Paper No: JAM-18-1105; doi: 10.1115/1.4040948 History: Received February 19, 2018; Revised July 18, 2018

This study investigates the significance of fluid–structure interaction (FSI) effects on structural response to pressure wave and shock wave loading. Finite element (FE) simulations and one-dimensional (1D) analytical models are used to compare the responses of simple structures in presence and absence of FSI. Results are provided in nondimensional form and allow rapid estimation of the significance of FSI. The cases of a square elastic plate in bending and a square rigid-perfectly plastic plate undergoing membrane stretching are discussed in detail. We deduce simple formulae to identify scenarios in which effects of FSI can be neglected.

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References

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Figures

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Fig. 1

Schematic illustration of the mathematical problem analyzed

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Fig. 2

Validation of the numerical predictions of Model 3, for two different shapes of the incoming pressure wave

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Fig. 3

Schematic illustration of the model discretization and the adaptive meshing procedure: (a) initial mesh; (b) deformed mesh due to plate movement and air compressibility; and (c) uniform mesh after ALE remeshing

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Fig. 4

Results of the mesh convergence study. For all tested cases: αr=0.0, pi,f/p0,f=10.0.

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Fig. 5

Sensitivity of the FSI efficiency (calculated for t<ti) to the velocity ratio: (a) αr=0.0; (b) αr=0.5

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Fig. 6

Sensitivity of the FSI efficiency (defined in terms of absolute peak deflections) to the velocity ratio: (a) αr=0.0; (b) αr=0.5

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Fig. 7

Contours of ηFSI (a) and nondimensional deflection w¯ (b) for αr=0.5 and different incident overpressures

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Fig. 8

Contours of ηFSI (a) and nondimensional deflection w¯ (b) for αr=0 and different incident overpressures

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Fig. 9

Effects of FSI for pi,f/p0,f=1,αr=0.5,k0=1.45,ϕ=1.35: (a) plate deflection history and (b) loading pressures history

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Fig. 10

Contours of equal displacement for a fully clamped elastic plate, as described in Sec. 6.1

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Fig. 11

Contours of maximum deflection and FSI-efficiency for an elastic square plate of size L=1 m. The dotted lines indicate a boundary between the elastic and elastic-plastic regimes: (a) αr=0.5,ti=10 ms; (b) αr=0.5,ti=100 ms; (c) αr=0.5,ti=500 ms; (d) αr=0,  ti=0.5 ms; (e) αr=0,  ti=2.5 ms; and (f) αr=0,  ti=10 ms.

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Fig. 12

Contours of the assumed velocity field (thin lines) and plastic hinge pattern (thick lines) for a fully clamped rigid-perfectly plastic plate

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Fig. 13

Contours of maximum deflection and FSI-efficiency for a rigid-perfectly plastic square plate of size L=1 m. (a):αr=0.5,ti=10 ms; (b): αr=0.5,ti=100 ms; (c): αr=0.5,ti=500 ms; (d): αr=0.0,ti=0.5 ms; (e): αr=0.0,ti=2.5 ms; (f): αr=0.0,ti=10 ms.

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