Dynamic Analysis of Space Frameworks with Cyclic Symmetry

Abstract

This paper examines the structural rigidity of space frameworks having n-fold rotational symmetry as well as a plane of mirror symmetry passing through the axis of rotational symmetry. On the basis of the eigenfrequencies and eigenvectors of the elastic structure, the dynamic properties of single- and multi-storey space frameworks with rotational symmetry are analysed. It is also shown how the even or odd value of the order n of the rotational symmetry influences the rigidity of the structure.