Correlated disorder in rainbow metamaterials for vibration attenuation

نویسندگان

چکیده

Metastructures are typically composed of periodic unit cells designed to present enhanced dynamic properties in which either single or multiple resonators periodically distributed. Even though the metamaterials can obtain bandgaps with outstanding vibration attenuation, widths still be narrow for some practical applications. Rainbow have been proposed based on gradient random profiles provide further improved attenuation. Nonetheless, effects correlated disorder their attenuation performance remains an open challenge. This work presents investigation rainbow metamaterials. An analytical model using transfer matrix approach is used calculate receptance functions a finite length metastructure evenly spaced non-symmetric attached beam ?-shaped cross-section, thus multi-frequency metastructure. The modelled fields and expression Karhunen-Loève expansion such that spatial correlation resonator modified by various lengths, i.e., level smoothness. Individual samples investigate It shown bandgap widened when compared uncorrelated disorder. obtained results indicates combination profile disorder, resulting from larger tends give optimized metamaterial. opens new innovative ways design broadband metastructures

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ژورنال

عنوان ژورنال: Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science

سال: 2021

ISSN: ['0954-4062', '2041-2983']

DOI: https://doi.org/10.1177/0954406220986596