Abstract
An advanced method for a qualitative description of bifurcation buckling behavior of dome structures is proposed. While conventional finite displacement analysis technique is employed to trace the bifurcation behavior, a group theoretic method is adopted to describe the hierarchal structure of bifurcation paths.The bifurcation behavior of polygonal-shaped truss domes is proved to be analogous to the subgroup structures of dihedral groups, which are extensively employed to describe the symmetry of polygons in mathematics. The categorization and description of the bifurcation behavior of a hexagonal-shaped truss dome structure insure the applicabilit and validity of the analogy in describing the bifurcation behavior. Such an analogy is able to monitor the interrelationship between the geometrical properties of the polygonal-shaped domes and their bifurcation behavior.
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