Broadband low-frequency vibration isolation based on acoustic black holes metastructure using reduced multibody system transfer matrix method

Acoustic black hole (ABH) has aroused increasing attentions due to its flexible broadband wave manipulation capability, but its low-frequency effect still needs to be improved. Besides, efficient dynamical calculation methods for complex ABH structures are still lacking. This article proposed a gradiently embedded ABHs-DVAs metastructure for low-frequency broadband vibration isolation based on combined broadband wave concentration of ABHs and flexible frequency tunings of dynamic vibration absorbers (DVAs). The Reduced Multibody System Transfer Matrix Method was applied with enhanced computation efficiency for metastructure modelling. Results show that the metastructure could combine the advantages of ABHs and DVAs, significantly reduce all low-frequency formants, and effectively improve the low-frequency broadband vibration isolation performance. The proposed method and vibration isolation effect were validated by finite element method and experimental results. This paper thus provides both an efficient computation method and a broadband low-frequency vibration isolation strategy for complex ABH isolation structures.