Abstract
Periodic structures (structures comprising a number of identical "bays" arranged sequentially and having identical connection properties between all pairs of adjacent bays) have certain properties which can be used to advantage in the computation and understanding of their behaviour in various dynamical situations. It is proposed in this paper that a free-ended periodic structure can be represented very efficiently as a substructure in a larger edifice by making full use of the similarity between it and a rotationally periodic structure. It is shown that this concept can provide a very significant acceleration of analysis in virtually all dynamic substructuring analyses regardless of which method of composite structure assembly method is used. It also transpires that, by using this approach, the resonance frequencies and natural modes of the general periodic structure can be computed much more easily than previously.
Published Version
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