A WAVE FINITE ELEMENT STRATEGY TO COMPUTE THE DYNAMIC FLEXIBILITY MODES OF STRUCTURES WITH CYCLIC SYMMETRY AND ITS APPLICATION TO DOMAIN DECOMPOSITION

International audienceA wave-based numerical approach is proposed for modeling periodic structures with cyclic symmetry. Wave modes which travel around the circumferential direction of those structures are calculated with the wave finite element method. Emphasis is placed on building the matrices of dynamic flexibility modes of the periodic structures by considering unit forces which are successively applied to the degrees of freedom of their boundaries. As it turns out, the matrices of dynamic flexibility modes may be quickly computed, leading the way to efficient domain decomposition techniques to analyze assemblies made up of several periodic structures