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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.
Peng Zhang,Yunya Liu,Keping Zhang,Yuning Wu,Fei Chen,Yi Chen,Pai Wang, andXuan Zhu
"Maxon-like dispersion relations in elastic metamaterial", Proc. SPIE 12946, Active and Passive Smart Structures and Integrated Systems XVIII, 129460F (10 May 2024); https://doi.org/10.1117/12.3010025
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Peng Zhang, Yunya Liu, Keping Zhang, Yuning Wu, Fei Chen, Yi Chen, Pai Wang, Xuan Zhu, "Maxon-like dispersion relations in elastic metamaterial," Proc. SPIE 12946, Active and Passive Smart Structures and Integrated Systems XVIII, 129460F (10 May 2024); https://doi.org/10.1117/12.3010025