Resonances in a discrete system of variable length
M. S. Dorofeev, Andrey V. Shanin · Acoustical Physics · 2009
Resonance properties of a finite discrete chain with a periodically varying length are investigated. The evolution equation describing a wave profile in continual approximation is derived. Splitting of the resonance peak is revealed. Wave profiles near the resonances are considered. It is shown that wave profiles formed near different resonances differ from each other in spectral composition. This result is theoretically substantiated.