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Transmission and localisation in ordered and randomly-perturbed structured flexural systems. (English) Zbl 1423.74460

Summary: The paper presents a novel analysis of localisation and transmission properties of randomly-perturbed flexural systems. Attention is given to the study of propagation regimes and the connection with transmission resonances following perturbations of ordered stacks. The analytical study is complemented with numerical simulations relevant to different discrete systems. Applications are in the design of efficient vibration isolation systems and filters of elastic waves considered as ordered structures subjected to small random perturbations.

MSC:

74K10 Rods (beams, columns, shafts, arches, rings, etc.)
74H45 Vibrations in dynamical problems in solid mechanics

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