复合局域共振梁结构带隙研究

Band gaps of a composite local resonant beam

该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底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,该文还分析了局域共振结构、单胞尺寸、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。

In this paper, a composite local resonant beam is constructed by transforming the underlying hostmedium that is general made up of one type material to the host medium with multi-phases materials. Accordingto the arrangements of the local resonance units, three configurations with elastic foundations are calculatedas examples to obtain the band diagram using the transfer matrix method. Comparing to the conventionallocal resonant beam, numerical results of the proposed beam show that the bandwidth is broadened and boththe 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 thepropagation and attenuation characteristics of elastic waves are studied, which provides a fundamental analysisfor designing structures with specific sound and vibration isolation requirements.