In this paper, a numerical method is established to analyze the response of fluid-filled structure to
underwater explosion with cavitation and the validation of the method is illustrated. In the present implementation,
the second-order doubly asymptotic approximation (DAA2) other than curved wave approximation (CWA)
is used to simulate non-reflecting boundary. Based on the method, the difference between DAA2 non-reflecting
boundary and CWA non-reflecting boundary is investigated; then, the influence of internal fluid volume and the
influence of cavitation on dynamic response of spherical shell are analyzed. Compared with CWA non-reflecting
boundary, DAA2 non-reflecting boundary treats added mass effects better. When the internal fluid is full, the
displacement and velocity of spherical shell decrease, but, when the internal fluid is half, the displacement and
velocity of spherical shell increase. The effect of cavitation is more obvious at the trailing point than at the leading
point of spherical shell.
XIAO Wei1 (肖巍), ZHANG A-man1* (张阿漫), WANG Yu2 (汪玉)
. Modified Numerical Model for Simulating Fluid-Filled Structure Response to Underwater Explosion with Cavitation[J]. Journal of Shanghai Jiaotong University(Science), 2014
, 19(3)
: 346
-353
.
DOI: 10.1007/s12204-014-1508-4
[1] Hung C F, Lin B J, Hwang-Fuu J J, et al. Dynamic response of cylindrical shell structures subjected to underwater explosion [J]. Ocean Engineering, 2009, 36:564-577.
[2] Shin Y S. Ship shock modeling and simulation for farfield underwater explosion [J]. Computers and Structures,2004, 82: 2211-2219.
[3] Liang C C, Tai Y S. Shock responses of a surface ship subjected to noncontact underwater explosions [J]. Ocean Engineering, 2006, 33: 748-772.
[4] Rajendran R. Numerical simulation of response of plane plates subjected to uniform primary shock loading of non-contact underwater explosion [J]. Materials and Design, 2009, 30: 1000-1007.
[5] Hung C F, Hsu P Y, Hwang-Fuu J J. Elastic shock response of an air-backed plate to underwater explosion [J]. International Journal of Impact Engineering,2005, 31: 151-168.
[6] Geers T L, Zhang P. Doubly asymptotic approximations for submerged structures with internal fluid volumes: Formulation [J]. Journal of Applied Mechanics,1994, 61: 893-899.
[7] Geers T L, Zhang P. Doubly asymptotic approximations for submerged structures with internal fluid volumes: Evaluation [J]. Journal of Applied Mechanics,1994, 61: 900-906.
[8] Sprague M A, Geers T L. Response of empty and fluid-filled, submerged spherical shells to plane and spherical, step-exponential acoustic waves [J]. Shock and Vibration, 1999, 6: 147-157.
[9] Shin Y S, Santiago L D. Surface ship shock modeling and simulation: Two-dimensional analysis [J]. Shock and Vibration, 1998, 5: 129-137.
[10] Geers T L. Doubly asymptotic approximations for transient motions of submerged structures [J]. Journal of Acoustic Society of America, 1978, 64(5): 1500-1508.
[11] Geers T L, Felippa C A. Doubly asymptotic approximations for vibration analysis of submerged structures [J]. Journal of Acoustic Society of America, 1983,73(4): 1152-1159.
[12] Felippa C A, Deruntz J A. Finite element analysis of shock-induced hull cavitation [J]. Computer Methods in Applied Mechanics and Engineering, 1984, 44(3):297-337.
[13] Sprague M A, Geers T L. A spectral-element method for modeling cavitation in transient fluidstructure interaction [J]. International Journal for Numerical Methods in Engineering, 2004, 60: 2467-2499.
[14] Zhang A M, Ren S F, Li Q, et al. 3D numerical simulation on the fluid-structure interaction of structure subjected to underwater explosion with cavitation [J]. Applied Mathematics and Mechanics, 2012, 33(9):1115-1128.
[15] Jen C Y. Coupled acoustic-structural response of optimized ring-stiffened hull for scaled down submerged vehicle subject to underwater explosion [J]. Theoretical and Applied Fracture Mechanics, 2009, 52: 96-110.
[16] M¨akinen K. Cavitation models for structures excited by a plane shock wave [J]. Journal of Fluid Structure,1998, 12: 85-101.
[17] Sprague M A, Geers T L. Spectral elements and field separation for an acoustic fluid subject to cavitation [J]. Journal of Computational Physics, 2003, 184:149-162.
[18] Sprague M A. Advanced computational techniques for the analysis of 3D fluid-structure interaction with cavitation [D]. Boulder: Department of Mechanical Engineering, University of Colorado at Boulder, 2002.
[19] Rajendran R, Lee J M. Blast loaded plates [J]. Marine Structures, 2009, 22: 99-127.