We reveal the unique and fundamental advantage of inerter-based elastic metamaterials by a comparative study among different configurations. When the embedded inerter is connected to the matrix material on both ends, the metamaterial shows definite superiority in forming a band gap in the ultralow frequency - equivalently the ultra-long wavelength - regime, where the unit cell size can be four or more orders of magnitude smaller than the operating wavelength. In addition, our parametric studies in both one and two dimensions pave the way towards designing next-generation metamaterials for structural vibration mitigation.
We observe maxon-like dispersion of ultrasonic guided waves in elastic metamaterial consisting of pillars periodically bonded to one side of a beam. The pillars act as asymmetric resonators and induce strong hybridization between longitudinal and bending wave modes. This creates a local maximum (i.e., maxon) on the dispersion curve at the interior of the first Brillouin zone. We observe localized maxon mode with zero group velocity (ZGV) through numerical and experimental investigation. In contrast to the roton mode, our measurements also demonstrate a unique maxon feature of peak-frequency down-shift in space.
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