李静茹,黎胜.复合局域共振梁结构带隙研究[J].,2018,37(3):345-355 |
复合局域共振梁结构带隙研究 |
Band gaps of a composite local resonant beam |
投稿时间:2017-06-15 修订日期:2018-04-19 |
中文摘要: |
本文将周期局域共振梁结构中的基体结构由单一材料发展成多相材料,建立了周期复合局域共振梁结构。由共振单元在单胞中的排列位置,考虑了三种构型,并利用传递矩阵方法计算了在弹性基础作用下这些结构产生的局域共振带隙性质。结果表明,与局域共振梁结构相比,复合局域共振梁结构产生的局域共振带隙对应的频率范围更宽,禁带范围内弹性波的衰减峰值和衰减均值更高。除此之外,本文还分析了局域共振结构,晶格尺寸,基体材料和局域共振结构中的阻尼对弹性波在空间中传播和衰减特性的影响,为满足特定的隔声隔振要求的结构设计提供了依据。 |
英文摘要: |
In this paper, a composite local resonant beam is constructed by transforming the underlying host medium that is general made up of one type material to the host medium with multi-phases materials. According to the arrangements of the local resonance units, three configurations with elastic foundations are calculated as examples to obtain the band diagram using the transfer matrix method. Comparing to the conventional local resonant beam, numerical results of the proposed beam show that the bandwidth is broadened and both the peak and average values representing wave decaying in the local resonance gaps are increased. In addition, the influence of the local resonant unit, the lattice constant and the material damping in the structure on the propagation and attenuation characteristics of elastic waves are studied, which provides a fundamental analysis for designing structures with specific sound and vibration isolation requirements. |
DOI:10.11684/j.issn.1000-310X.2018.03.006 |
中文关键词: 局域共振,多相基体梁,带隙结构,传递矩阵方法 |
英文关键词: local resonance, multi-phase host beam, band gap, transfer matrix method |
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