针对圆柱壳结构的减振问题, 本文提出一种局域共振型圆柱壳类声子晶体结构, 通过在圆柱壳圆周方向布置弹簧振子实现。该声子晶体的能带结构研究结果表明, 该结构能够形成两条低频带隙, 一条带隙的起始频率低至650 Hz, 带宽为330 Hz, 另一条带隙具有更低的频率范围, 为0~371 Hz, 带隙的形成是由于圆柱壳和弹簧振子振动的耦合。进一步分析了声子晶体的圆柱壳质量与弹簧振子的质量比、弹簧振子的刚度和元胞宽度对带隙的影响。对有限周期圆柱壳结构的传输特性分析, 验证了局域共振型圆柱壳声子晶体在带隙范围内的抑制振动的能力。研究结果为圆柱壳结构的减振问题提供了理论参考。

The locally resonant (LR) cylindrical shell phononic crystal structure with periodically attached spring-mass resonators in the circumferential direction of cylindrical shells is proposed in this study to reduce the vibration of cylindrical shells. And the band structure of the phononic crystal shows that the two low frequency band gaps can be formed. One of the band gaps has a starting frequency as low as 650 Hz and a bandwidth of 330 Hz, and the other has a lower frequency range of 0 to 371 Hz, which is due to the coupling between the cylindrical shell and spring-mass resonators. Further, the effects of the mass ratio of the cylindrical shell to the mass, the stiffness of the spring-mass resonators and the cell width on the band gaps were analyzed. Moreover, the characteristics of the vibration transmission in finite LR cylindrical shells verify the vibration suppression in the band gap for the locally resonant cylindrical shell phononic crystal. Finally, the research results provide a theoretical reference for the vibration reduction of cylindrical shells.