系统参数对碰摩转子稳态响应的影响

本文基于线性碰摩力模型,分析了转定子存在偏心时柔性JEFFCOTT转子的碰摩响应。通过数值仿真,揭示了转子碰摩响应与系统参数之间的定性关系,指出较小的定子刚度、较大的系统阻尼有利于抑制转子的混沌振动。     

基于集中质量法的一维声子晶体弹性波带隙计算

通过将一维声子晶体中的原胞简化为有限多个自由度的弹簧振子结构，引入了一种基于集中 质量法的一维声子晶体弹性波带隙计算方法.与传统平面波展开法相比，该方法的计算结果 与之相符合，而且在收敛性方面较之有很大改善.通过使用集中质量法，可在得到同样计算 精度的条件下，显著降低计算量，提高计算速度. 关键词： 声子晶体 弹性波带隙 集中质量法 平面波展开法     

表面局域态对一维声子晶体中水平剪切波传输特性的影响

利用传递矩阵法，研究了一维声子晶体表面存在的表面局域态对水平剪切波传输特性的影响。由于表面局域态的存在，声波的透过率出现共振峰。共振峰的极值与入射角度和声子晶体层数有关，合适的入射角度和层数可以使声波完全透射。当入射角在一定范围内连续变化时，在较宽频率范围内均出现较大透过率。声子晶体的这一特性可以应用于高性能的阻抗匹配材料和声波滤波器中。     

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.     

Experimental and Theoretical Research on the Vibrational Gaps in Two-Dimensional Three-Component Composite Thin Plates

We investigate the vibrational band gaps in a thin plate of two-dimensional phononic crystals with the locally resonant structure in theory and experiment. The experimental sample is optimized based on the simple analytical model. The experimental results are in good agreement with the theoretical calculation by the finite element method. The findings will be significant for applications of phononic crystals in the field of vibration isolation.     

Accurate evaluation of lowest band gaps in ternary locally resonant phononic crystals

Based on a better understanding of the lattice vibration modes, two simple spring--mass models are constructed in order to evaluate the frequencies on both the lower and upper edges of the lowest locally resonant band gaps of the ternary locally resonant phononic crystals. The parameters of the models are given in a reasonable way based on the physical insight into the band gap mechanism. Both the lumped-mass methods and our models are used in the study of the influences of structural and the material parameters on frequencies on both edges of the lowest gaps in the ternary locally resonant phononic crystals. The analytical evaluations with our models and the theoretical predictions with the lumped-mass method are in good agreement with each other. The newly proposed heuristic models are helpful for a better understanding of the locally resonant band gap mechanism, as well as more accurate evaluation of the band edge frequencies.