【摘要】：對雙振子局域共振軸縱向振動的帶隙行為進(jìn)行了研究,采用傳遞矩陣法推導(dǎo)得到了雙振子局域共振軸縱振能帶結(jié)構(gòu)關(guān)系的解析表達(dá)式,對雙振子局域共振軸的帶隙進(jìn)行了計算。結(jié)果表明在振子總質(zhì)量相同的情形下,雙振子局域共振軸相比于單振子而言能夠拓寬帶隙寬度。此外,針對振子間距比對雙振子局域共振帶隙特性的影響進(jìn)行了分析。研究發(fā)現(xiàn):盡管原胞的晶格常數(shù)保持不變,然而振子間距比會對各帶隙的寬度產(chǎn)生影響,帶隙極大寬度發(fā)生條件為振子間距比θ=0.5或θ=1(θ=0)時;在一些情形下,適當(dāng)?shù)拈g距比可以使得局域共振帶隙之間產(chǎn)生帶隙融合現(xiàn)象,進(jìn)而形成一個超寬帶隙;對于雙振子局域共振軸,布拉格帶隙邊界頻率不完全取決于晶格常數(shù),而且還同振子間距比相關(guān)。
[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.
【作者單位】： 南京航空航天大學(xué)機械結(jié)構(gòu)力學(xué)及控制國家重點實驗室;
【基金】：江蘇高校優(yōu)勢學(xué)科建設(shè)工程資助項目 中央高校基本科研業(yè)務(wù)費專項資金資助項目 江蘇省普通高校研究生科研創(chuàng)新計劃資助項目(KYLX_0242)
【分類號】：O735

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