Silva P B, Leamy M J, Geers M G D, Kouznetsova V G
Eindhoven University of Technology P. O. Box 513, 5600 MB Eindhoven, The Netherlands.
George W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332-0405, USA.
Phys Rev E. 2019 Jun;99(6-1):063003. doi: 10.1103/PhysRevE.99.063003.
With the aim of developing high-performance locally resonant metamaterials, the effect of nonlinear hyperelastic interactions between a rubberlike elastomeric local resonator and the host matrix is investigated. The results reveal a new emergent physical phenomenon not previously reported within the framework of elastoacoustic metamaterials: The appearance of a half subharmonic attenuation zone complementing the local resonance band gap around the fundamental frequency. Evidence of the emergent attenuation zone is provided by direct numerical simulations as well as semianalytical developments via the method of multiple scales. The analyses demonstrate that, in the considered nonlinear locally resonant metamaterial, the combined effects of autoparametric and local resonance induce saturation of the primary wave at certain conditions and, subsequently, promote energy exchange from a primary propagating wave to an evanescent subharmonic wave, giving rise to an additional attenuation zone. This opens new possibilities for the design of passive filtering devices for elastoacoustic waves.
为了开发高性能的局部共振超材料，研究了橡胶状弹性体局部谐振器与主体基质之间非线性超弹性相互作用的影响。结果揭示了一种在弹性声学超材料框架内以前未报道过的新出现的物理现象：在基频附近出现一个半次谐波衰减区，补充了局部共振带隙。通过直接数值模拟以及多尺度方法的半解析展开，提供了出现衰减区的证据。分析表明，在所考虑的非线性局部共振超材料中，自参数共振和局部共振的联合效应在某些条件下会导致初级波饱和，随后促进能量从初级传播波转移到消逝次谐波，从而产生额外的衰减区。这为弹性声波无源滤波装置的设计开辟了新的可能性。
