Low-frequency vibration suppression of a multi-layered elastic metamaterial shaft with discretized scatters

Abstract

With the aim to reduce the total structural weight, this paper presents a novel radial multi-layered elastic metamaterial (EM) shaft in which the scattering layer is circumferentially discretized into several arc-shaped sections with rotational symmetry. The dispersion relations and frequency-response-functions (FRF) of a finite structure are determined numerically first with different discretized geometries. To illustrate the mechanisms of band gaps, the eigenmodes were extracted and analyzed together with dispersion relations and FRF. The results show that in contrast to conventional multi-layered EM shafts, the proposed EM shaft with the weight being reduced by 34% can still yield broadband gaps at low-frequencies and by properly selecting the discretized geometry the band gap ranging from 139 to 197Hz exists for all three elastic wave modes. The results presented in this paper demonstrate a potential design strategy in stabilized shaft engineering.