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机械元材料的动态连续化具有准周期微观结构
Rosaria Del Toro1, Maria Laura De Bellis1, Andrea Bacigalupo2
1Department INGEO, University of Chieti-Pescara, Viale Pindaro 42 , Pescara, Italy.
概括
这项研究使用斐波纳契序列来表征准周期性超材料. 研究人员分析了它们的频段结构,并提出了一个新的方案来建模它们的连续性.
科学领域:
- 材料科学 材料科学 材料科学
- 凝聚物质物理学 凝聚物质物理学
- 波浪物理 波浪物理
背景情况:
- 准周期性超材料具有独特的波浪操纵特性.
- 斐波纳契序列产生复杂的,自我相似的微观结构.
- 了解它们的带结构对于设备应用至关重要.
研究的目的:
- 基于斐波纳契序列的弹性准周期性超材料的特征.
- 分析它们的频段结构的自我相似性.
- 开发和验证一个高频连续化方案.
主要方法:
- 转移矩阵方法用于计算周期近似的带结构.
- 对简单的转移矩阵不变数和传递系数的分析.
- 高频连续化方案用于识别非局部连续.
主要成果:
- 确定了由斐波纳契生成的元材料的频段结构.
- 在乐队结构中表现出自我相似性.
- 根据Floquet-Bloch理论验证了拟议的连续化方案.
结论:
- 这项研究提供了一种方法来表征基于斐波纳契的准周期性超材料.
- 连续化方案提供了一种方法来将这些复杂的材料模型为连续.
- 这些发现有助于对弹性和声学超材料的理解.
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