Analysis of the extreme acoustic pressure in multi-Fluid shell systems subjected to an external pulse
Keywords:Fourier series, Ordinary differential equations, Acoustic pressures, Circular cylindrical shells, Multi-fluids, Normal displacement, Radiation pressure, Shell theory
AbstractA study that was conducted examine the extreme acoustic pressure in multi-fluid shell systems subjected to an external pulse is presented. A thin elastic circular cylindrical shell was considered, which was filled with and submerged into different fluids. It was assumed that the shell is thin enough, and that its deflections are small in comparison to its thickness, so that the linear shell theory can be employed. It was further assumed that the LoveKirchhoff hypothesis holds true. The pressure is then obtained as a Fourier series with time dependant coefficients which, for the radiation pressure depend on the unknown normal displacements of the shell. Then, the same series form is used for the shell displacements and, substituting them into the shell equations, researchers arrive at the systems of the ordinary differential equations for each of the displacement harmonics.
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