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Cellular structures like hexagonal honeycombs have been of particular interest because of their unique dynamic behavior. These periodic structures can control wave propagation through exhibiting pass and stop bands over certain frequency ranges. Geometrical modifications of unit cells in these hexagonal honeycombs have been explored to achieve different properties such as a negative Poisson's ratio,...
We report on the existence of discrete breathers in a model of a one-dimensional, locally-resonant granular met material composed of a linear lattice with nonlinear local resonators. Using numerical continuation, we compute a discrete breather solution that bifurcates from a small amplitude Eigen mode with frequency at the lower edge of the optical band. The displacement profile of this breather is...
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