Non-reciprocal wave propagation in modulated elastic metamaterials

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences - Tập 473 Số 2202 - Trang 20170188 - 2017
Hussein Nassar1, Huan Chen1, Andrew N. Norris2, Michael R. Haberman3, Guoliang Huang1
1Department of Mechanical and Aerospace Engineering, University of Missouri, Columbia, MO, 65211, USA
2Department of Mechanical and Aerospace Engineering, Rutgers University, Piscataway NJ 08854-8058, USA
3Department of Mechanical Engineering and Applied Research Laboratories, The University of Texas at Austin, Austin, TX 78712, USA

Tóm tắt

Time-reversal symmetry for elastic wave propagation breaks down in a resonant mass-in-mass lattice whose inner-stiffness is weakly modulated in space and in time in a wave-like fashion. Specifically, one-way wave transmission, conversion and amplification as well as unidirectional wave blocking are demonstrated analytically through an asymptotic analysis based on coupled mode theory and numerically thanks to a series of simulations in harmonic and transient regimes. High-amplitude modulations are then explored in the homogenization limit where a non-standard effective mass operator is recovered and shown to take negative values over unusually large frequency bands. These modulated metamaterials, which exhibit either non-reciprocal behaviours or non-standard effective mass operators, offer promise for applications in the field of elastic wave control in general and in one-way conversion/amplification in particular.

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Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Tập 473 Số 2202

20170188

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