nonlinear fem simulation comsol multiphysics version 6.1  (COMSOL Inc)

Journal: Scientific Reports

Article Title: Experimental proof of emergent subharmonic attenuation zones in a nonlinear locally resonant metamaterial

doi: 10.1038/s41598-020-68894-3

Figure Lengend Snippet: ( a ) 1D-discrete model presented in Silva et al. for a nonlinear locally resonant metamaterial, ( b ) schematic view of the proposed resonant unit cell and ( c ) nonlinear force–displacement response of the resonator computed through the analytical single degree-of-freedom model presented in the supplementary material and a 3D nonlinear static simulation in COMSOL Multiphysics. ( d ) Geometric dimensions of the unit-cell of the proposed locally resonant metastructure. The out-of-plane thickness of the unit cell (both frame and resonator) is 5 mm.

Article Snippet: Despite the strong simplifying hypotheses made in the analytical model (see Supplementary Information), the force–displacement response, predicted by the analytical model compares well with the results obtained from a fully 3D nonlinear static simulation performed in COMSOL Multiphysics, see Fig. c. The two curves show a convincing agreement; the discrepancy for very large displacements is mainly due to the 3D effects neglected in the 1D analytical model based on the beam theory and from the other hypotheses made in the analytical model. From Fig. c, the asymmetric nonlinear behavior of the resonator for negative and positive displacements of the mass can be clearly identified, which is required to promote the considered subharmonic autoparametric resonance energy exchange mechanism .

Techniques:

Journal: Scientific Reports

Article Title: Experimental proof of emergent subharmonic attenuation zones in a nonlinear locally resonant metamaterial

doi: 10.1038/s41598-020-68894-3

Figure Lengend Snippet: Transmission diagram computed numerically using COMSOL Multiphysics for 3D model of the chain made of 50 unit cells. The three main mode shapes for the frequency range of interest and their associated natural frequencies are also depicted. The color shows the normalized total displacement field.

Article Snippet: Despite the strong simplifying hypotheses made in the analytical model (see Supplementary Information), the force–displacement response, predicted by the analytical model compares well with the results obtained from a fully 3D nonlinear static simulation performed in COMSOL Multiphysics, see Fig. c. The two curves show a convincing agreement; the discrepancy for very large displacements is mainly due to the 3D effects neglected in the 1D analytical model based on the beam theory and from the other hypotheses made in the analytical model. From Fig. c, the asymmetric nonlinear behavior of the resonator for negative and positive displacements of the mass can be clearly identified, which is required to promote the considered subharmonic autoparametric resonance energy exchange mechanism .

Techniques: Transmission Assay