论文标题
一维分层和分级结构的均质化
Homogenization of one-dimensional layered and graded structures
论文作者
论文摘要
考虑了有限程度的一维声学或弹性结构的均质化。得出了一种基于转移矩阵的新均质化方法。新的均质化方法可以解释可变的横截面区域和威利斯耦合，这构成了应力 - 应变和动量 - 速度构成关系。然后，通过考虑通常入射在刚性支持的双层壁上的声波和在带有指数增长的横截面区域的管道中传播的均匀的声波来证明均质方法。
The homogenization of one-dimensional acoustic or elastic structures of finite extent is considered. A new homogenization method based on transfer matrices is derived. The new homogenization method may account for variable cross sectional area and for Willis coupling, which couples the stress-strain and momentum-velocity constitutive relations. The homogenization method is then demonstrated by considering acoustic waves normally incident upon a rigidly-backed double-layered wall and plane waves propagating in a duct with a section of exponentially-growing cross-sectional area.
