The Influence of Functionally Graded Layer on the Band Structures of One-Dimensional Phononic Crystals

Guang-ying Yang, Minghua Zhang, J. Lou, Meng-kai Lu, Ji Wang, Jianke Du
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Abstract

In this paper, the propagation of surface acoustic waves in a periodic structure which consists of periodic domain inversion piezoelectric substrate covered by a functionally graded layer is studied. We calculated the band structures using the finite element method. The effects of the gradient variation of material constants on the band structures are discussed in detail. Numerical analysis shows that the band gap shifts to lower frequency and the bandwidth decreases with increase of the positive gradient factor β, whereas the band gap shifts to higher frequency and the bandwidth increase with increase of the negative gradient factor β. Besides, the thickness of the layer also has a significant effect on the first band gap.
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功能梯度层对一维声子晶体能带结构的影响
本文研究了由功能梯度层覆盖的周期性畴反转压电衬底构成的周期结构中表面声波的传播。采用有限元法对带结构进行了计算。详细讨论了材料常数梯度变化对能带结构的影响。数值分析表明,随着正梯度因子β的增大,带隙向低频偏移,带宽减小;而随着负梯度因子β的增大,带隙向高频偏移,带宽增大。此外,层的厚度对第一带隙也有显著的影响。
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