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Nonlinear phononic crystals based on chains of disks alternating with toroidal structures
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View: Figures


Image of FIG. 1.
FIG. 1.

(a) Experimental setup composed of alternating steel disks and teflon o-rings (b) clamped at one end and precompressed by a cable and pulley system with load . A shaker imparted dynamic excitation and force sensors recorded the motion (solid black blocks). (c) Finite-element discretization of the RVE. is the input force at the boundary.

Image of FIG. 2.
FIG. 2.

(a) Experimental base force () over input force () as a function of frequency for four levels or precompression: line (1) 267 N, line (2) 311 N, line (3) 356 N, and line (4) 400 N. Solid arrow indicates band gap up shift for increasing precompression. Dashed arrows indicate resonant frequencies insensitive to precompression. (b) Dispersion relations obtained from FE model. The shaded area indicates a band gap. The dashed line indicates the wave number used to evaluate the eigenmodes in Fig. 3.

Image of FIG. 3.
FIG. 3.

Wave modes associated with the dispersion relations of Fig. 2(b) and , for frequencies: (a) 343 Hz, (b) 606 Hz, (c) 854 Hz, (d) 1063 Hz, (e) 4951 Hz, and (f) 8021 Hz.

Image of FIG. 4.
FIG. 4.

Analytical force transmission for two values of initial precompression. Solid and dashed lines correspond to 267 N and 400 N. The inset shows axial and rotational degrees of freedom included in the model.


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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Nonlinear phononic crystals based on chains of disks alternating with toroidal structures