Numerical simulation data for the dynamic properties of rainbow metamaterials

Abstract

Simulation data are presented for identifying and analysing the dynamic properties of the rainbow metamaterials as presented in the articles “Rainbow metamaterials for broadband multi-frequency vibration attenuation: numerical analysis and experimental validation” (Meng et al., 2019 [1]) and “Optimal design of rainbow elastic metamaterials” (Meng et al., 2019 [2]). In this data article, the frequency response functions and mode shapes of the rainbow metamaterials are numerically calculated by Finite Element models set up in Ansys Mechanical APDL. Harmonic analysis was performed to figure out the receptance function values of the rainbow metamaterials within the frequency regime 0–500 Hz. Modal analysis was applied to estimate the mode shapes, which could be used to explain the critical peaks and dips in the receptance function curve. Source files of Finite Element models are provided in the data. The Finite Element simulation is not only an effective alternative way to estimate the dynamic properties of the rainbow metamaterials, the mode shape analysis, which is unlikely to be achieved with the analytical model, provides direct insights into the underlying vibration mechanism of the rainbow metamaterials.

Correlated disorder in rainbow metamaterials for vibration attenuation

“…They act independently that it is possible to create two separate band gap regions, consequently broadening the total attenuation band. This analytical model has been previously proposed and validated by experimental results 10,11,26 and it is briefly presented here. Displacements of the Π-shaped unit cell or segment are given as 10 where the subscripts l and l stands for the left and right ends of the n -th segment at x n and xnr=xn+pnLd, respectively, where boldΛn,l=diag{e−ik(x−xn),e−k(x−xn),eik(x−xn),ek(x−xn)}, boldΛn,r=diag{e−ik(x−xnr),e−k(x−xnr),eik(x−xnr),ek(...…”

Structural vibration absorption in multilayered sandwich structures using negative stiffness nonlinear oscillators

“…Chen et al [5] and Peng and Pai [6] developed metamaterial beams, plates and sandwich structures with membrane or mass spring oscillators. Meng et al [7][8][9][10] studied metamaterial beams with spatially varying cantilever-mass oscillators. Barnhart et al [11], Peng et al.…”

Broadband Vibration Attenuation Achieved by 2D Elasto-Acoustic Metamaterial Plates with Rainbow Stepped Resonators

“…Beli et al [54] proved that the spatial correlated variability could lead to widened bandgaps for cantilever-in-mass metamaterials. Meng et al [55][56][57][58][59] investigated rainbow metamaterial beams with spatially varying oscillators and rainbow phononic crystal lattices with spatial varying mass blocks and found that the rainbow structures could generate broader bandgaps compared with periodic ones.…”