Abstract
Existence self-equilibrated stress states and inextentional displacement modes largely dominates fundamental structural properties of Tensegrity. Finding appropriate bases for the self-stress states and displacement modes of tensegrities is useful and helpful in understanding and examining their structural behavior. In the paper we apply the group theoretic approach in extracting the sets of bases of self-equilibrated stress states and inextentional displacement modes of tensegrity structures. Block diagonalization of orthogonal projectors onto vector spaces defined by equilibrium matrices is formulated. Examples of bases of self-equilibrium states and inextentional displacement modes, based on the irreducible representations, for some tensegrity models are shown.
