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A fully elastic model for studying submerged circular cylindrical shells subjected to a weak shock wave

Published online by Cambridge University Press:  05 August 2009

Cédric Leblond ,
Serguei Iakovlev  and
Jean-Francois Sigrist
Cédric Leblond
Affiliation:
LEPTIAB, Université de La Rochelle, Avenue Michel Crépeau, 17042 La Rochelle Cedex 1, France
Serguei Iakovlev
Affiliation:
Dept of Engineering Mathematics and Internetworking, Dalhousie University, Halifax, Canada B3J 2X4
Jean-Francois Sigrist
Affiliation:
Service Technique et Scientifique, DCNS Propulsion Indret, BP 30, 44620 La Montagne, France
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Abstract

The transient dynamics of evacuated and fluid-filled circular elastic shells, submerged in an infinite fluid medium and subjected to an external weak shock wave,is considered in this paper. This circular shell/acoustic medium interaction problem has already been tackled with simplified thin shell models, based on the Love-Kirchhoff hypotheses for thestructural dynamics. In this case, the resulting radiated pressure field displays some discrepancies related to the A0/S0 waves when compared to the experimental data available inthe literature for the evacuated case. These drawbacks are overcome here by the use of an isotropic elastic model for the structural dynamics and an inviscid acoustic flow for the fluid dynamics,in a two-dimensional framework. The approach is based on the methods of Laplace transform in time, Fourier series expansions and separation of variables in space. For the fluid-filled case,the transient thick shell-weak shock wave interaction problem is explored and the radiated acoustic field described.

Keywords

Circular shellelasticityacousticwave propagationunderwater explosionfluid-structure interactionCoque circulaireélasticitéacoustiquepropagation d'ondesexplosion sous-marineinteraction fluide-structure
Type
Research Article
Information
Mechanics & Industry , Volume 10 , Issue 3-4: 19e Congrès français de mécanique (CFM 2009) , May 2009 , pp. 275 - 284
Copyright
© AFM, EDP Sciences, 2009

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References

R.H. Cole, Underwater Explosions, Princeton University Press, 1948
Keil, A.H., The response of ships to underwater explosions, Trans. Soc. Nav. Arch. Mar. Eng. 69 (1961) 33–41
Liang, C.C., Hsu, C.Y., Lai, W.H., A study of transient response of a submerged spherical shell under shock waves, Ocean Eng. 28 (2000) 71–94 CrossRef
Shin, Y., Ship shock modelling and simulation of far-field underwater explosion, Comp. Struct. 82 (2004) 2211–2219 CrossRef
Park, I.K., Kim, J.C., An, C.W., Cho, D.S., Measurement of naval ship response to underwater explosion shock loading, Shock Vib. 10 (2003) 365–377 CrossRef
Besnier, F., Simulation numérique et conception des structures de grands navires, Mécanique & Industries 7 (2006) 213–222 CrossRef
Shin, Y.S., Santiago, L.D., Surface ship shock modeling and simulation, Two-dimensional analysis, Shock Vib. 5 (1998) 129–137 CrossRef
Sprague, M.A., Geers, T.L., A spectral element/finite element analysis of a ship like structure subjected to an underwater explosion, Comp. Meth. Appl. Mech. Eng. 195 (2006) 2149–2167 CrossRef
Y. Le Bras, D. Vienne, Underwater explosion response of an ssk, In UDT Conference, Amsterdam, 2005
Liang, C.C., Tai, Y.S., Shock response of surface ship subjected to noncontact underwater explosions, Ocean Eng. 33 (2006) 748–772 CrossRef
Kwon, Y.W., Cunningham, R.E., Comparison of usa-dyna finite element models for a stiffened shell subjected to underwater shock, Comp. Struct. 66 (1998) 127–144 CrossRef
Mair, H.U., Review: Hydrocodes for structural response to underwater explosion, Shock Vib. 6 (1999) 81–96 CrossRef
Mair, H.U., Benchmarks for submerged structure response to underwater explosion, Shock Vib. 6 (1999) 169–181 CrossRef
Haywood, J.H., Response of an elastic cylindrical shell to a pressure pulse, J. Mech. Appl. Math. 11 (1958) 129–141 CrossRef
Iakovlev, S., External shock loading on a submerged fluid-filled cylindrical shell, J. Fluids Struct. 22 (2006) 997–1028 CrossRef
Iakovlev, S., Submerged fluid-filled cylindrical shell subjected to a shock wave: Fluid-structure interaction effects, J. Fluids Struct. 23 (2007) 117–142 CrossRef
Kwon, Y.W., Fox, P.K., Underwater shock response of a cylinder subjected to side-on explosion, Comp. Struct. 48 (1993) 637–646 CrossRef
Tang, S.C., Yen, D.H.Y., Interaction of a plane acoustic wave with an elastic spherical shell, J. Acoust. Soc. Am. 47 (1970) 1325–1233 CrossRef
Geers, T.L., Residual potential and approximation methods for three-dimensional fluid-structure interaction problems, J. Acoust. Soc. Am. 49 (1971) 1505–1510 CrossRef
Huang, H., Wang, Y.F., Asymptotic fluid-structure interaction theories for acoustic radiation prediction, J. Acoust. Soc. Am. 77 (1985) 1389–1394 CrossRef
Geers, T.L., Doubly asymptotic approximations for transient motion of submerged structures, J. Acoust. Soc. Am. 64 (1978) 1500–1508 CrossRef
Geers, T.L., Felippa, C.A., Doubly asymptotic approximations for transient motion of submerged structures, J. Acoust. Soc. Am. 73 (1983) 1152–1159 CrossRef
Pathak, A.G., Stepanishen, P.R., Acoustic harmonic radiation from fluid-loaded infinite cylindrical elastic shells using elasticity theory J. Acoust. Soc. Am. 99 (1994) 573–582
Baillard, A., Conoir, J.-M., Décultot, D., Maze, G., Klauson, A., Metsaveer, J., Acoustic scattering from fluid-loaded stiffened cylindrical shell: Analysis using elasticity theory, J. Acoust. Soc. Am. 107 (2000) 3208–3216 CrossRef
Geers, T.L., Excitation of an elastic cylindrical shell by a transient acoustic wave, J. Appl. Mech. 36 (1969) 459–469 CrossRef
Geers, T.L., Scattering of a transient acoustic wave by an elastic cylindrical shell, J. Acous. Soc. Am. 51 (1972) 1640–1651 CrossRef
Huang, H., An exact analysis of the transient interaction of acoustic plane waves with a cylindrical elastic shell, J. Appl. Mech. 37 (1970) 1091–1099 CrossRef
Iakovlev, S., Interaction between a submerged evacuated cylindrical shell and a shock wave - Part I: Diffraction-radiation analysis, J. Fluids Struct. 24 (2008) 1077–1097 CrossRef
Iakovlev, S., Interaction between a submerged evacuated cylindrical shell and a shock wave - Part II: Numerical aspects of the solution, J. Fluids Struct. 24 (2008) 1098–1119 CrossRef
Iakovlev, S., Interaction of a spherical shock wave and a submerged fluid-filled circular cylindrical shell, J. Sound Vib. 255 (2002) 615–633 CrossRef
Neubauer, W.G., Drageonette, L.R., Observation of waves radiated from circular cylinders caused by an incident pulse, J. Acoust. Soc. Am. 48 (1970) 1135–1149 CrossRef
Ahyi, A.C., Pernod, P., Gatti, O., Latard, V., Merlen, A., Uberall, H., Experimental demonstration of the pseudo-Rayleigh wave, J. Acoust. Soc. Am. 104 (1998) 2727–2732 CrossRef
Derbesse, L., Pernod, P., Latard, V., Merlen, A., Décultot, D., Touraine, N., Maze, G., Acoustic scattering from complex elastic shells: visualization of S 0 A 0 and A waves, Ultrasonics 38 (2000) 860–863 CrossRef
M. Abramowitz, I.A. Stegun, Handbook of Mathematical Functions, Dover, 1970
Brancik, L., Utilization of matlab in simulation of linear hybrid circuits, Radioeng. 12 (2003) 6–11
Bao, X.L., Raju, P.K., Uberall, H., Circumferential waves on an immersed, fluid-filled elastic cylindrical shell, J. Acoust. Soc. Am. 105 (1999) 2704–2709 CrossRef
R.S. Price, Similitude equations for explosives fired underwater, Technical Report R 80-299, NSWC, 1979
Hunter, K.S., Geers, T.L., Pressure and velocity fields produced by an underwater explosion, J. Acoust. Soc. Am. 115 (2004) 1483–1496 CrossRef
C. Leblond, Modélisation de phénomènes fortement instationnaires en milieux couplés, Application au dimensionnement de structures immergées aux explosions sous-marines, Ph.D. Thesis, Université de Nantes, France, 2007