Tensegrity systems are structures in equilibrium under an initial selfstress state. This selfstress state is a composition of elementary selfstress states, which constitute its basis. In order to identify the selfstress state of a system, we use a non-destructive method based on a vibratory analysis of the structure. The structure is subjected to sinewave excitation for a given frequency. It appears that some frequencies allow a better identification than others. This study tries to establish a relation between eigenmode, selfstress state, and the effectiveness of the identification of a double layer tensegrity grid in six elementary selfstress states. Numerical simulations validate the method proposed here for the identification of such a tensegrity grid.
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