基于散射单元的声子晶体振动带隙研究

硬质芯体及其包覆层构成的复合结构称为散射单元，散射单元按照特定的排列方式可以构成声子晶体。文章采用有限元方法分别计算了立方散射单元构成的一维声子晶体及简单立方结构三维声子晶体的振动特性，结果表明，两种声子晶体的振动带隙有较好的一致性，因此，对三维声子晶体振动带隙的研究可以简化为对一维声子晶体振动带隙的研究。叠加层数、芯体材料对一维声子晶体振动带隙的影响在文中进行了讨论。最后，声子晶体的振动特性测试结果验证了文中的结论。

Research on Vibration Band Gaps of Phononic Crystals Consisting of Scattering Cells

The elastic material with a rigid core is called scatter-unit in this paper. Phononic crystal is a composite consisting of scatter-units arranged in certain arrays. Finite element method was employed in the calculations of the transmission properties of vibration through one and three-dimensional phononic crystals. The results are in good agreements. Therefore the research on vibration band gaps of three-dimensional phononic crystals can be simplified to the study of one-dimensional ones. The influences of the number of layers and core properties upon vibration band gaps of one-dimensional phononic crystals were also discussed. The observations from the vibration experiments are reasonably consistent with the calculated results.