(28)フラーレン構造の既約表現分解による並列有限要素法に関する基礎的考察

概要

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Recently, the geometry of the Buckminsterfullerene, Ceo and other fullerene molecules structure have become apparent by chemists and physicists. Icosahedral symmetry with such geometry is rare in nature, and this analysis is hard. However, we consider it will be possible to overcome this problem with in group theory. The block-diagonalization method based on group theory has been proposed as a means to exploit the symmetry of structures. In this paper, we employ this method of the stiffness matrix of the Buckminsterfullerene dome structure with the high-symmetry I/, so as to realize fast and parallel structure analysis. By applying the method to regular polygonal symmetric structures with the dihedral group symmetry, we show the advantages of this method, including high-speed block decomposition and reduced computing of the large scale symmetric structure analysis.
一般社団法人日本建築学会の論文
1999-03-10