间距比对双振子局域共振轴纵振带隙的影响

发布时间：2018-10-19 12:39

【摘要】：对双振子局域共振轴纵向振动的带隙行为进行了研究,采用传递矩阵法推导得到了双振子局域共振轴纵振能带结构关系的解析表达式,对双振子局域共振轴的带隙进行了计算。结果表明在振子总质量相同的情形下,双振子局域共振轴相比于单振子而言能够拓宽带隙宽度。此外,针对振子间距比对双振子局域共振带隙特性的影响进行了分析。研究发现:尽管原胞的晶格常数保持不变,然而振子间距比会对各带隙的宽度产生影响,带隙极大宽度发生条件为振子间距比θ=0.5或θ=1(θ=0)时;在一些情形下,适当的间距比可以使得局域共振带隙之间产生带隙融合现象,进而形成一个超宽带隙;对于双振子局域共振轴,布拉格带隙边界频率不完全取决于晶格常数,而且还同振子间距比相关。
[Abstract]:The band gap behavior of the longitudinal vibration of the local resonance axis of the double oscillator is studied. The analytical expression of the energy band structure of the local resonance shaft of the double oscillator is derived by using the transfer matrix method. The band gap of the local resonance shaft of the double oscillator is calculated. The results show that when the total mass of the oscillator is the same, the local resonance axis of the double oscillator can widen the band gap width compared with the single oscillator. In addition, the influence of the ratio of oscillator spacing on the local resonance band gap characteristics of two oscillators is analyzed. It is found that, although the lattice constant of the primary cell remains constant, the oscillator spacing ratio has an effect on the width of each band gap. The maximum band gap width occurs when the oscillator spacing ratio 胃 = 0.5 or 胃 = 1 (胃 = 0); in some cases, the maximum width of the band gap is obtained when the oscillator spacing ratio 胃 = 0.5 or 胃 = 1 (胃 = 0). The appropriate spacing ratio can result in band gap fusion between the local resonance band gaps, and then form an ultra-wideband gap. For the local resonance axis of double oscillators, the Bragg band-gap boundary frequency is not entirely dependent on the lattice constant. It is also related to the ratio of oscillator spacing.
【作者单位】：南京航空航天大学机械结构力学及控制国家重点实验室;
【基金】：江苏高校优势学科建设工程资助项目中央高校基本科研业务费专项资金资助项目江苏省普通高校研究生科研创新计划资助项目(KYLX_0242)
【分类号】：O735

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