An Integral Equation formulation of Acoustic Fluid-Elastic Shell Dynamic Interaction Problems.
STATE UNIV OF NEW YORK BUFFALO DEPT OF ENGINEERING SCIENCE
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A method is proposed for the study of the dynamic response of elastic shells submerged in a fluid medium. The method allows for shells of arbitrary thickness and arbitrary geometry to be described by exact equations of three dimensional elasticity, ie.e. without the physical approximations of shell theory, while maintaining a reduction to a two dimensional variable field - the standard reason for employing shell theory. In addition, the infinite domain of the surrounding fluid medium is reduced to consideration of the two dimensional variable field at the shell-fluid interface. The method is based on an integral equation formulation equivalent to the usual wave equations governing this problem. Two problems are solved by this approach to illustrate its use and compare it to standard separation of variables techniques. First, a spherical shell of constant thickness surrounded by an infinite fluid is subjected to a time harmonic internal pressure. Then the same geometry with zero internal pressure is taken to scatter a plane time harmonic incident pressure wave. Author