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Technical Briefs

Transient Response of Submerged Plates Subject to Underwater Shock Loading: An Analytical Perspective

[+] Author and Article Information
Zhanke Liu

Department of Civil and Environmental Engineering,  Princeton University, Princeton, NJ 08544zhankel@princeton.edu

Yin L. Young

Department of Civil and Environmental Engineering,  Princeton University, Princeton, NJ 08544yyoung@princeton.edu

J. Appl. Mech 75(4), 044504 (May 19, 2008) (5 pages) doi:10.1115/1.2871129 History: Received May 29, 2007; Revised September 24, 2007; Published May 19, 2008

In this paper, Taylor’s floating air-backed plate (ABP) model is extended to the case of a submerged water-backed plate (WBP) within the acoustic range. The solution of the WBP is cast into the same format as that of the ABP with a modified fluid-structure interaction (FSI) parameter, which allows a unified analysis of the ABP and WBP using the same set of formulas. The influence of back conditions on fluid and structural dynamics, including fluid cavitation, is systematically investigated. Asymptotic limits are mathematically identified and physically interpolated. Results show that the WBP experiences lower equivalent pressure loading, reduced structural response, and hence lower peak momentum gaining. The time to reach peak momentum is shorter for the WBP than for the ABP. Cavitation is found to be almost inevitable for the ABP, while relevant to the WBP only for a small range of the FSI parameter. Implications to shock response of submerged structures are briefly discussed.

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Copyright © 2008 by American Society of Mechanical Engineers
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Figures

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Figure 1

Schematic drawing for the ABP and WBP subject to an exponentially decaying shock wave from the left hand side

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Figure 2

Comparison of pressure histories between the ABP (ψ=1.75) and the WBP (ϕ=3.5)

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Figure 3

Comparison of velocity and displacement histories between the ABP (ψ=1.75) and the WBP (ϕ=3.5)

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Figure 4

Comparison of momentum transmission coefficient ζ as a function of the FSI parameter ρcθ∕m between the ABP and WBP

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Figure 5

Comparison of the dimensionless peak response time τp∕θ as a function of the FSI parameter ρcθ∕m between the ABP and WBP.

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Figure 6

Comparison of dimensionless cavitation inception time τc∕θ as a function of the FSI parameter ρcθ∕m between the ABP and WBP

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