期刊
COMPUTERS & STRUCTURES
卷 94-95, 期 -, 页码 34-44出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.compstruc.2011.12.004
关键词
Symmetry; Symmetric structure; Symmetry operation; Symmetry group; Group theory; Symmetry recognition
资金
- National Research Foundation of South Africa
Group theory provides a formal means for exploiting symmetry in the analysis of physical systems. In current group-theoretic formulations, it is assumed that the symmetry properties of the system are self-evident, and the symmetry group of the problem is deduced by the analyst and assigned as an input parameter. However, for complex systems with a large number of nodes or elements, the symmetry properties may not be obvious. The present paper proposes a procedure for the systematic search and identification of the symmetries of 2D and 3D structural configurations, and hence for the automatic recognition of the symmetry group to be used in a group-theoretic analysis of the system. (C) 2012 Elsevier Ltd. All rights reserved.
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