Partner: Haicheng Ma |
Conference abstracts
1. | Ario I.
♦, Ma D.♦, Ma H.♦,
Zawidzki M., Advanced Bifurcation Analysis Using Modified Stiffness Method of Group Theoretic Imperfections, ICTAM 2024, The 26th International Congress of Theoretical and Applied Mechanics, 2024-08-25/08-30, Daegu (KR), pp.1-2, 2024 Abstract: Multiple bifurcations due to symmetry are often encountered when analyzing nonlinear motifs of nano-mechanics or structures with axial multiple symmetry. The location of multiple bifurcation points and bifurcation path tracing become problems in numerical analysis. In this paper, as a solution to this problem, the a priori information of group-theoretic bifurcation theory is applied. By utilizing the irreducible representation of the dihedral group, we propose to represent the initial imperfection vectors according to the difference in symmetry of the structural system. A part of the tangent stiffness matrix is corrected by coordinate transformations, and Graph-theory, Bifurcation, Imperfection, Fulerene, Dihedral group Affiliations:
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