周期格子構造の隠れた対称性の解明

概要

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Recently, with the utilization of symmetry, the block-diagonalization method (BDM) based on "representation theory of group" has come to be utilized to exploit structural analysis of the symmetric structure. According to the fact that topological factor is unclear in the homogeneous structures, in this paper, we present the mechanism of the breaking-down from high-symmetry of the stratified symmetry which is developed by the translation law of group products. This system is based on an assumption of the periodic lattice structure with periodic boundary conditions. We found "hidden symmetry" and its symmetric level by using with BDM of the described group products (direct product of groups). By this product, a partial differential equation with the deformation pattern is converted to symmetric spaces of group, and it is possible to trace a stratified symmetry with geometric structures by the BDM. This method can be applied widely to the ruled equations with symmetry.
一般社団法人日本建築学会の論文
2001-03-20