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.
Issue Section:
Technical Briefs
1.
Taylor
, G. I.
, 1941, “The Pressure and Impulse of Submarine Explosion Waves on Plates
,” Scientific Papers of G. I. Taylor III
, Cambridge University Press
, Cambridge, UK
, pp. 287
–303
.2.
Fleck
, N. A.
, and Deshpande
, V. S.
, 2004, “The Resistance of Clamped Sandwich Beams to Shock Loading
,” ASME J. Appl. Mech.
0021-8936, 71
, pp. 386
–401
.3.
Rabczuk
, T.
, Kim
, J. Y.
, Samaniego
, E.
, and Belytschko
, T.
, 2004, “Homogenization of Sandwich Structures
,” Int. J. Numer. Methods Eng.
0029-5981, 61
, pp. 1009
–1027
.4.
Rabczuk
, T.
, Samaniego
, E.
, and Belytschko
, T.
, 2007, “Simplified Model for Predicting Impulsive Loads on Submerged Structures to Account for Fluid-Structure Interaction
,” Int. J. Impact Eng.
0734-743X, 34
, pp. 163
–177
.5.
Qiu
, X.
, Deshpande
, V. S.
, and Fleck
, N. A.
, 2004, “Dynamic Response of a Clamped Circular Sandwich Plate Subject to Shock Loading
,” ASME J. Appl. Mech.
0021-8936, 71
, pp. 637
–645
.6.
Deshpande
, V. S.
, and Fleck
, N. A.
, 2005, “One-Dimensional Response of Sandwich Plates to Underwater Shock Loading
,” J. Mech. Phys. Solids
0022-5096, 53
, pp. 2347
–2383
.7.
Deshpande
, V. S.
, Heaver
, A.
, and Fleck
, N. A.
, 2006, “An Underwater Shock Simulator
,” Proc. R. Soc. London, Ser. A
1364-5021, 462
, pp. 1021
–1041
.8.
Xue
, Z.
, and Hutchinson
, J. W.
, 2004, “A Comparative Study of Impulse-Resistant Metal Sandwich Plates
,” Int. J. Impact Eng.
0734-743X, 30
, pp. 1283
–1305
.9.
Espinosa
, H. D.
, Lee
, S.
, and Moldovan
, N.
, 2006, “A Novel Fluid Structure Interaction Experiment to Investigate Deformation of Structural Elements Subjected to Impulsive Loading
,” Exp. Mech.
0014-4851, 46
, pp. 805
–824
.10.
Wadley
, H. N. G.
, 2006, “Multifunctional Periodic Cellular Metals
,” Proc. R. Soc. London, Ser. A
1364-5021, 364
, pp. 31
–68
.11.
Liang
, Y.
, Spuskanyuk
, A. V.
, Flores
, S. E.
, Hayhurst
, D. R.
, Hutchinson
, J. W.
, McMeeking
, R. M.
, and Evans
, A. G.
, 2007, “The Response of Mettalic Sandwich Panels to Water Blast
,” ASME J. Appl. Mech.
0021-8936, 74
, pp. 81
–99
.12.
Xie
, W.
, Liu
, Z.
, Young
, Y. L.
, and Liu
, T.
, “Modeling of Interactions Between Cavitating Flows and Elastic Structures
,” Int. J. Numer. Methods Eng.
0029-5981 submitted.13.
Hutchinson
, J. W.
, and Xue
, Z.
, 2005, “Metal Sandwich Plates Optimized for Pressure Impulses
,” Int. J. Mech. Sci.
0020-7403, 47
, pp. 545
–569
.14.
Kambouchev
, N.
, Noels
, L.
, and Radovitzky
, R.
, 2006, “Nonlinear Compressibility Effects in Fluid-Structure Interaction and Their Implications on the Air-Blast Loading of Structures
,” J. Appl. Phys.
0021-8979, 100
, pp. 063519
.15.
Kambouchev
, N.
, and Radovitzky
, R.
, 2007, “Fluid-Structure Interaction Effects in the Dynamic Response of Free-Standing Plates to Uniform Shock Loading
,” ASME J. Appl. Mech.
0021-8936, 74
, pp. 1042
–1045
.16.
Kambouchev
, N.
, Noels
, L.
, and Radovitzky
, R.
, 2007, “Numerical Simulation of the Fluid-Structure Interaction Between Air Blast Waves and Free-Standing Plates
,” Comput. Struct.
0045-7949, 85
, pp. 923
–931
.17.
Tan
, P. J.
, Reid
, S. R.
, and Harrigan
, J. J.
, 2005, “Discussion: The Resistance of Clamped Sandwich Beams to Shock Loading
,” ASME J. Appl. Mech.
0021-8936, 72
, pp. 978
–979
.18.
Vaziri
, V.
, and Hutchinson
, J. W.
, 2004, “Metal Sandwich Plates Subject to Intense Air Shocks
,” Int. J. Solids Struct.
0020-7683, 44
, pp. 2021
–2035
.19.
Schechter
, R. S.
, and Bort
, R. L.
, 1981, “The Response of Two Fluid-Coupled Plates to an Incident Pressure Pulse
,” Naval Research Laboratory
, Technical Report No. 4647.20.
Mindlin
, R. D.
, and Bleich
, H. H.
, 1953, “Response of an Elastic Cylindrical Shell to a Transverse Step Shock Wave
,” ASME J. Appl. Mech.
0021-8936, 26
, pp. 189
–195
.21.
Haywood
, J. H.
, 1958, “Response of an Elastic Cylindrical Shell to a Pressure Pulse
,” Q. J. Mech. Appl. Math.
0033-5614, 11
, pp. 129
–141
.22.
Huang
, H.
, 1969, “Transient Interaction of Plane Acoustic Waves With a Spherical Elastic Shell
,” J. Acoust. Soc. Am.
0001-4966, 45
, pp. 661
–670
.23.
Huang
, H.
, 1970, “An Exact Analysis of the Transient Interaction of Acoustic Plane Waves With a Cylindrical Elastic Shell
,” ASME J. Appl. Mech.
0021-8936, 37
, pp. 1091
–1099
.24.
Huang
, H.
, 1979, “Transient Response of Two Fluid-Coupled Spherical Elastic Shells to an Incident Pressure Pulse
,” J. Acoust. Soc. Am.
0001-4966, 65
, pp. 881
–887
.25.
Zhang
, P.
, and Geers
, T.
, 1993, “Excitation of a Fluid-Filled, Submerged Spherical Shell by a Transient Acoustic Wave
,” J. Acoust. Soc. Am.
0001-4966, 93
, pp. 696
–705
.26.
Jones-Oliveira
, J.
, 1996, “Transient Analytic and Numerical Results for the Fluid-Solid Interaction of Prolate Spheroidal Shells
,” J. Acoust. Soc. Am.
0001-4966, 99
, pp. 392
–407
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