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为了利用在声学领域极具应用前景的双锥型五模式超材料进行隔声降噪,提出一种双锥宽直径不全同型五模式超材料.利用有限元方法分析了其声子能带结构、各波模相速度、品质因数随结构与材料参数的变化关系,在实用性和稳定性上与窄直径不同型五模式超材料作了比较.宽直径不全同型五模式超材料在保持原始五模式结构单模传输能带的前提下,还产生了更低频、宽带的三维完全带隙,且结构更稳定,重量更轻。双锥型五模式超材料在特定宽直径不同时具有三维完全带隙,品质因数主要由结构参数决定,各材料参数只是不同程度地影响带隙的绝对宽度和位置.研究结果表明双锥宽直径不全同型五模式超材料有望用于带隙调控和隔声。
In order to utilize the double-cone five-mode metamaterials with great potential in the field of acoustics for acoustic noise reduction, a biconic wide-diameter heterogeneous five-mode metamaterial is proposed. Its phonon band structure is analyzed by finite element method, The phase velocity and quality factor of each wave mode were compared with those of five-mode metamaterials with narrow diameter and different diameter in practicality and stability with the change of structure and material parameters. Structure under the premise of single-mode transmission band, but also produced a lower frequency, broadband three-dimensional full bandgap, and the structure is more stable and lighter weight. Biconical five-mode metamaterials have three-dimensional complete bandgaps at different specific widths, and the quality factor is mainly determined by the structural parameters. The material parameters affect the absolute width and position of the bandgaps to varying degrees. The results show that the double-cone width Incomplete five-mode metamaterials are expected to be used for bandgap regulation and sound insulation.