In this paper the theory behind a Mechanical device that lends itself to producing periodic response patterns under small excitation levels is described. It turns out that certain symmetry features that are presented here are useful in the design of the desired Mechanical device. It will be shown mathematically that the compliance of the structure can be made high at frequencies that are integer multiples of a basic frequency while the compliance is zero at other frequencies where no energy is to be conveyed the oscillating element. As a result, this structure lends itself to producing periodic oscilations under small excitation levels.

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