一种高效的多尺度方法,用于对声学元材料的亚波长短暂分析
R Liupekevicius1, J A W van Dommelen1, M G D Geers1
1Mechanical Engineering, Eindhoven University of Technology, The Netherlands.
概括
一个新的框架模型声学超材料使用减少顺序同质化. 这种方法捕捉到独特的行为,如子波长应用的负效性能.
科学领域:
- 声学 声学 在声学方面
- 材料科学 材料科学 材料科学
- 连续力学 连续力学
背景情况:
- 局部共振的声学超材料提供独特的波浪操纵特性.
- 低波长声学现象需要先进的建模技术.
- 同质化方法对于将微观特征与宏观行为联系起来至关重要.
研究的目的:
- 为声学元材料开发一个减少阶同质化框架.
- 为了实现超材料行为的时间和频率域分析.
- 为了捕捉非标准的构成性质,如负有效模量和密度.
主要方法:
- 减少顺序的同质化框架建设.
- 开发一个宏观规模丰富的连续模型.
- 在稳定状态和局部共振模式下进行单元细胞响应分析.
- 频域数值模拟. 频域数值模拟.
主要成果:
- 为同质化连续体建立了一个非标准的构成模型.
- 捕获了包括负有效散量模量,负有效密度和威利斯合在内的元材料行为.
- 该框架证明了频域分析的效率和适用性.
结论:
- 拟议的减少顺序同质化框架有效地模拟波长以下的声学元材料.
- 该框架准确地代表了独特的元材料构成性行为.
- 这种方法适用于声学元材料科学中的时间和频域分析.
相关概念视频
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