在半周期性网格中波传输
Marco Moscatelli1, Claudia Comi1, Jean-Jacques Marigo2
1Department of Civil and Environmental Engineering, Politecnico di Milano , Milan, Italy.
概括
研究人员展示了准周期格子如何使用等效离散系统控制波传播. 这种方法揭示了元材料中的批量光谱模式和拓模式.
科学领域:
- 物理 物理学 物理
- 材料科学 材料科学 材料科学
- 声学 声学 在声学方面
背景情况:
- 准周期格子表现出用于波浪操纵的独特动态特性.
- 控制工程结构中的波传播对于先进的应用至关重要.
研究的目的:
- 为了证明准周期局部共振系统可以通过相当的离散系统来建模.
- 在这些系统中分析波传播特性,包括散光谱和拓模式.
主要方法:
- 准周期系统的近似化为具有较长周期的周期性.
- 定义一个相当的离散系统来表示格子属性.
- 使用特定的准周期格子模型分析大量频谱和拓模式.
主要成果:
- 该研究使用更简单的离散系统成功建模了复杂的准周期格子.
- 在批量光谱中观察到霍夫斯塔特蝶模式.
- 在准周期格子的背景下确定和分析了拓模式.
结论:
- 相当的离散系统为了解准周期性超材料中的波动力学提供了强大的工具.
- 这些发现有助于设计用于波浪控制的新型声学和弹性超材料.
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