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Decorated granular crystal as filter of low-frequency ultrasonic signals


We numerically study uncompressed granular crystals excited by sinusoidal signals at 1–100 kHz. A simple system such as two beads in a line reveals that for a fixed driven frequency, incident signals can be transmitted or filtered depending on the driving amplitude. We show that using square tapered crystals with decoration it becomes possible to enhance the low frequency filtration properties of granular systems. In addition to filtration, we find that \(80\%\) or more of the input force is attenuated using a crystal thickness of 4 grains.

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The authors gratefully acknowledge financial support from the UFPA. L.M. also thanks the Department of Physics of UB for hospitality during his visit. S.S. was a recipient of a Fulbright-Nehru Academic and Professional Excellence Fellowship during the performance of this work.

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Correspondence to Luís Paulo Silveira Machado.

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Machado, L.P.S., Sen, S. Decorated granular crystal as filter of low-frequency ultrasonic signals. Granular Matter 22, 7 (2020).

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  • Ultrasonic signals
  • Filtration
  • Transmission
  • Granular filter
  • Decorated crystal