Djordje Zloković
Serbian Academy of Sciences and Arts

 

ABSTRACT
The shapes of natural and technical space structures may have geometrical configuration with symmetry properties that can be analyzed by superior mathematical modeling of the group theory, which has been shown in this paper by some aspects and results of the Author’s group supermatrix procedure using the group supermatrix chain of the symmetry groups C2, D2, D2h and linear, rectangular, hexahedral and icosahedral configurations. This procedure formulates the analysis of structures composed according to definite space patterns with simple and complex symmetries, as well as symmetrized nonsymmetrical patterns, providing many qualitative and quantitative advantages in comparison with conventional methods.

KEY WORDS
space structures, symmetry groups, group supermatrix procedure, group character table, finite element analysis

 

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SAJ Vol. 3, 2011, No. 2