Static Analysis of Deep Water Hemi-Ellipsoidal Shells by Higher-Order Shear Deformation Theory
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Abstract
This paper presents the static response of deep water hemi-ellipsoidal shells. The shell geometry is determined using differential geometry, while the displacement field is derived based on higher-order shear deformation theory. The energy functional of the shell system can be formulated via the principle of virtual work. The numerical results of the static deformed configuration of the hemi-ellipsoidal shells are obtained by the finite element method employing nine-node quadrilateral isoparametric elements. Specifically, this study examines the effects of external hydrostatic pressure on hemi-ellipsoidal shells under various height-to-base radius ratios and support conditions. The results indicate that the displacement response depends on the height-to-base radius ratios of the hemi-ellipsoidal shells. The normal displacement of the hemi-spherical shells is lower than the hemi-oblate and prolate shells at the apex and support, respectively.
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