Analysis of Symmetry-breaking and Multi-Bifurcation for Multi-folding Structures

Abstract eng:
Recently, it is well-known as the symmetry-breaking phenomena in the field of physics, the block-diagonalization method (BDM) based on representation theory of group with the utilization of symmetry 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 theory. We propose that there is the finite element mesh issue of numeric error of computing analysis which it is confirmed hidden symmetry and its symmetry-breaking on the dynamic simulation problem by using group representation. It is possible to trace the dynamic nonlinear process from symmetric structures with strange behavior. It is found that there are different solution on dynamic process without the issue of the numeric method, it depends on the number of divided elements on symmetric structure.

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