Influence of a rigid coaxial core on the stress-strain state of a submerged fluid-filled circular cylindrical shell subjected to a shock wave

Abstract A submerged fluid-filled circular cylindrical shell containing a rigid coaxial cylindrical core is considered. The nonstationary dynamics of such a system subjected to an external spherical shock wave is examined, with particular emphasis on the influence that a core has on the stress–strain state of the shell. A complete diffraction–radiation problem is considered, and an analytical–numerical solution of the problem is obtained. The influence of several different cores is analyzed, and a comparison to the case of a shell without a core is presented. Physical phenomena occurring in the shell and in the internal fluid are studied in detail. Two- and three-dimensional graphics is used to illustrate and analyze the nonstationary dynamics of the stress–strain state. The possibility of using a rigid core as a measure of constructive safety improvement is discussed.

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

[2]  F. Zerilli,et al.  Pressure measurements on a deforming surface in response to an underwater explosion in a water-filled aluminum tube , 2001 .

[3]  INTERACTION OF A SPHERICAL SHOCK WAVE AND A SUBMERGED FLUID-FILLED CIRCULAR CYLINDRICAL SHELL , 2002 .

[4]  J. E. van Aanhold,et al.  Underwater shock response analysis of a floating vessel , 1996 .

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

[6]  Peizhen Zhang,et al.  Doubly Asymptotic Approximations for Submerged Structures With Internal Fluid Volumes: Evaluation , 1994 .

[7]  On the Singular Behavior of the Inverse Laplace Transforms of the Functions $\frac{{{I}_{n}}\left( s \right)}{sI_{n}^{\prime }\left( s \right)}$ , 2002, Canadian Mathematical Bulletin.

[8]  T. L. Geers Excitation of an Elastic Cylindrical Shell by a Transient Acoustic Wave , 1969 .

[9]  Dimitris Drikakis,et al.  Computation of non-stationary shock-wave/cylinder interaction using adaptive-grid methods , 1997 .

[10]  Acoustic scattering from fluid-loaded stiffened cylindrical shell: analysis using elasticity theory , 2000, The Journal of the Acoustical Society of America.

[11]  Maze,et al.  Analysis of the acoustic scattering at variable incidences from an extra thin cylindrical shell bounded by hemispherical endcaps , 2000, The Journal of the Acoustical Society of America.

[12]  A. Ugural Stresses in plates and shells , 1981 .

[13]  Y. F. Wang,et al.  Transient Interactions of Spherical Acoustic Waves and a Cylindrical Elastic Shell , 1970 .

[14]  Andrew B. Wardlaw,et al.  Fluid-structure interaction mechanisms for close-in explosions , 2000 .

[15]  Dimitris Drikakis,et al.  Simulation of blast wave propagation over a cylinder , 1997 .

[16]  A. Love A treatise on the mathematical theory of elasticity , 1892 .