Abstract

The Finite Element Methods (FEM) are important numerical techniques for analysis of physical problems. Quick prediction of dynamic and static response of structures is one of the interests of both industry and scientists. One of the key elements to achieve this goal is 3D super element compatible with regular geometrical configuration by which a series of structures can be analyzed with less time and higher accuracy. In this paper, a newly designed spherical super element is presented. In this super element, the user can enjoy as many numbers of nodes as he wishes and consequently reaches the desired accuracy and consuming computational time. It can also be used to analyze structures from hollow sphere in solid structures to cell behavior in biological science. This super element is implemented for finding the deflection and natural frequencies of a hollow sphere and the results are nicely compatible with findings of the applied conventional elements.

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