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The present study proposes a method for improving the self-collimation performance of square array phononic crystals by means of orientated rectangular inclusions. Finite element simulations are performed to investigate the effects of the aspect ratio and orientation angle of rectangular inclusions on the self-collimation performance. The simulation results show that the proposed design provides an...
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...
We numerically and experimentally investigate the nonlinear wave dispersion in 3D woodpile periodic structures consisting of slender cylindrical rods. The slender rods have low frequency resonance modes that are coupled with the propagating wave. Depending on the coupling of local modes, the propagating waveform in woodpile can change significantly. Also, the wave dispersion in temporal and spatial...
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