Abstract
AbstractRotationally periodic (or cyclic) symmetry is exploited in the elastic analysis by the element‐free Galerkin method for two‐dimensional systems under arbitrary load conditions. It is proved that the coefficient matrices of the global EFG equations for the rotationally periodic system are block‐circulant so long as a kind of symmetry‐adapted reference co‐ordinate system is adopted. Furthermore, the computational convenience and efficiency, which can be achieved by exploiting this property, are demonstrated, and an efficient algorithm is presented. A numerical example is given to illustrate the advantages of such exploitation of symmetry in the context. Copyright © 2004 John Wiley & Sons, Ltd.
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