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

In this paper, Taylor 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.

[1]  Discussion: "The Resistance of Clamped Sandwich Beams to Shock Loading" , 2005 .

[2]  Raymond D. Mindlin,et al.  Response of an Elastic Cylindrical Shell to a Transverse, Step Shock Wave , 1989 .

[3]  David R Hayhurst,et al.  The response of metallic sandwich panels to water blast , 2007 .

[4]  R. Radovitzky,et al.  Fluid-structure interaction effects in the dynamic response of free-standing plates to uniform shock loading , 2007 .

[5]  Vikram Deshpande,et al.  Dynamic Response of a Clamped Circular Sandwich Plate Subject to Shock Loading , 2004, Journal of Applied Mechanics.

[6]  Janet B. Jones-Oliveira Transient analytic and numerical results for the fluid–solid interaction of prolate spheroidal shells , 1992 .

[7]  H. Huang,et al.  Transient response of two fluid‐coupled spherical elastic shells to an incident pressure pulse , 1979 .

[8]  Thomas L. Geers,et al.  Excitation of a fluid‐filled, submerged spherical shell by a transient acoustic wave , 1993 .

[9]  R. Radovitzky,et al.  Numerical simulation of the fluid-structure interaction between air blast waves and free-standing plates , 2007 .

[10]  Vikram Deshpande,et al.  One-dimensional response of sandwich plates to underwater shock loading , 2005 .

[11]  H. Huang,et al.  An Exact Analysis of the Transient Interaction of Acoustic Plane Waves With a Cylindrical Elastic Shell , 1970 .

[12]  Zhenyu Xue,et al.  A comparative study of impulse-resistant metal sandwich plates , 2004 .

[13]  J. H. Haywood RESPONSE OF AN ELASTIC CYLINDRICAL SHELL TO A PRESSURE PULSE , 1958 .

[14]  H. Wadley Multifunctional periodic cellular metals , 2006, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[15]  Ted Belytschko,et al.  Simplified model for predicting impulsive loads on submerged structures to account for fluid-structure interaction , 2007 .

[16]  H. Huang Transient Interaction of Plane Acoustic Waves with a Spherical Elastic Shell , 1969 .

[17]  Ashkan Vaziri,et al.  Metal sandwich plates subject to intense air shocks , 2007 .

[18]  Horacio Dante Espinosa,et al.  A Novel Fluid Structure Interaction Experiment to Investigate Deformation of Structural Elements Subjected to Impulsive Loading , 2006 .

[19]  N. Fleck,et al.  The Resistance of Clamped Sandwich Beams to Shock Loading , 2004 .

[20]  R. Radovitzky,et al.  Nonlinear compressibility effects in fluid-structure interaction and their implications on the air-blast loading of structures , 2006 .

[21]  N. Fleck,et al.  An underwater shock simulator , 2006, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[22]  Ted Belytschko,et al.  Homogenization of sandwich structures , 2004 .

[23]  Zhenyu Xue,et al.  Metal sandwich plates optimized for pressure impulses , 2005, International Journal of Mechanical Sciences.