A Comparison of Membrane, Vacuum, and Fluid Loaded Spherical Shell Models with Exact Results
NAVAL OCEANOGRAPHIC AND ATMOSPHERIC RESEARCH LAB STENNIS SPACE CENTER MS
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A new set of spherical shell theories is presented with differing degrees of physicality, varying from a simple membrane model up to a fluid loaded shell theory that includes translational motion, rotary inertia, and transverse shearing-stress. Numerical results from these theories are compared with exact results from elastodynamic theory. The motivation of this study is to overcome the limitations of both modal analysis approaches and of the somewhat more general Extended Boundary Condition DBC method due to Waterman, sometimes called the T-matrix method. The spherical shell is studied with an eye towards generalizing the results obtained to spheroids. The aim of the present research is to yield a better understanding of the scattering event by employing more general and more physical shell theories.
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