Lamb wave band gaps in a homogenous plate with periodic tapered surface
Lamb wave band gaps in a homogenous plate with periodic tapered surface
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DOI：
10.1063/1.4749400
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发表时间：
2012-09
影响因子：
3.2
通讯作者：
Hong-bo Zhang;Jiujiu Chen;Xu Han
中科院分区：
文献类型：
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作者：
Hong-bo Zhang;Jiujiu Chen;Xu Han
在本文中，我们对兰姆波在具有周期性锥面的均匀板中传播进行了数值研究，该板的宽度从下底到上底逐渐增加。利用有限元方法研究了本征模的色散关系、功率传输谱和位移场。我们研究了几何参数（包括下底宽度与上底宽度之比，以及上底宽度、锥形表面厚度和均质板厚度分别与下底宽度之比）对带隙的影响。数值结果表明，通过改变几何参数可以有效地改变带隙。特别地，第一带隙的宽度通过改变上基部宽度与下基部宽度的比率并且反过来近似线性地变化。锥面结构的传输频带比锥面结构的传输频带更平坦。
In this paper, we present the numerical investigation of Lamb wave propagation in a homogenous plate with periodic tapered surface, which gradually increases the width from the lower base to the upper base. The dispersion relations, the power transmission spectra, and the displacement fields of the eigenmodes are studied by using the finite-element method. We investigate the effects of the geometrical parameters (including the ratio of the lower base width to the upper base width, and the ratio of the upper base width, the thickness of the tapered surface, and the thickness of the homogenous plate, respectively, to the lower base width) on the band gaps. Numerical results show that the band gaps can be effectively shifted by changing the geometrical parameters. Especially, the width of the first band gap changes approximately linearly by changing the ratio of the upper base width to the lower base width and in return. The transmission bands of the structure with the tapered surface are more flat than thos...