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首页> 外文会议>2014 International Symposium on Optomechatronic Technologies >Plane Wave Propagation in Two Dimensional Auxetic Periodic Structures
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Plane Wave Propagation in Two Dimensional Auxetic Periodic Structures

机译：二维辅助周期结构中的平面波传播

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摘要

Cellular structures like hexagonal honeycombs have been of particular interest because of their unique dynamic behavior. These periodic structures can control wave propagation through exhibiting pass and stop bands over certain frequency ranges. Geometrical modifications of unit cells in these hexagonal honeycombs have been explored to achieve different properties such as a negative Poisson's ratio, which is also known as auxetic materials. It is found that a characteristic angle of the unit cell determines the value of the Poisson's ratio. In this study, we investigate different topologies of unit cells through the Timoshenko beam-based finite element method and the principles of Floquet-Bloch theorem. We find that the characteristic angle of the unit cell has a significant effect on the in-plane wave propagation behavior and its directionality.
机译：蜂窝状结构（如六角形蜂窝）由于其独特的动态行为而引起了人们的特别关注。这些周期性结构可以通过在某些频率范围内展现通带和阻带来控制波的传播。已经研究了这些六角形蜂窝中晶胞的几何修饰，以实现不同的特性，例如负泊松比，这也被称为膨胀材料。发现单位晶胞的特征角决定了泊松比的值。在这项研究中，我们通过基于Timoshenko梁的有限元方法和Floquet-Bloch定理的原理研究了晶胞的不同拓扑。我们发现，晶胞的特征角对面内波传播行为及其方向性具有重要影响。

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