Abstract
The phenomenon of vibration localization occurring in a nearly periodic structure was investigated through a statistical energy analysis (SEA) approach. The phenomenon has been examined mostly through a wave propagation approach, where a localization factor was often employed to evaluate the strength of vibration localization. The wave propagation approach properly predicted the factor close to Monte Carlo calculations in nearly periodic structures for both weak and strong couplings. In this analytical study, the localization factor was derived from the SEA approach for a nearly periodic structure monocoupled with a weak coupling. The SEA approach sequentially breaks the structure into two-oscillator blocked substructures and proposes a way of determining the vibration localization factor with equations of energy balance. This article shows that the SEA approach is quite appropriate for calculating the vibration localization factor compared to the wave propagation approach.
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