Abstract
Hollow Spherical Structures such as spherical pressure vessels are widely used in industries. Using faster numerical methods to solve these spherical problems has been one of the research interests in the last decade. Super elements are elements capable of producing the same accurate result in comparison with several conventional elements. In this paper, a new spherical super element is designed and implemented to study the static deformation and modal analysis of a spherical structure. In the static analysis mean of the inner radial displacements of the hollow structure under the internal pressure is evaluated, also performing the modal analysis, natural frequencies of the structure under the specified boundary condition are obtained. Findings are compared with those of conventional finite element methods and very good agreements are achieved. Using two spherical super element result the same displacement in conventional finite element with 2164 three dimensional brick elements.
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