Our official English website, www.x-mol.net, welcomes your
feedback! (Note: you will need to create a separate account there.)
Multiple scattering of flexural waves on Mindlin plates with circular scatterers
ZAMM - Journal of Applied Mathematics and Mechanics ( IF 2.3 ) Pub Date : 2021-03-16 , DOI: 10.1002/zamm.202000221 Yohei Kinoshita 1 , Shiro Biwa 1 , Zuowei Wang 2
ZAMM - Journal of Applied Mathematics and Mechanics ( IF 2.3 ) Pub Date : 2021-03-16 , DOI: 10.1002/zamm.202000221 Yohei Kinoshita 1 , Shiro Biwa 1 , Zuowei Wang 2
Affiliation
|
The multiple scattering of flexural waves on an elastic plate with circular scatterers is analyzed in the frequency domain based on the Mindlin plate theory accounting for the rotary inertia and shear deformation of the plate. To this purpose, a semi-analytical numerical method is formulated as an extension of the previous study based on the Kirchhoff plate theory. It consists of expressing the flexural wave field in terms of the superposition of the wave function expansion, and determining the expansion coefficients by a collocation technique. As demonstrative examples, the transmission of a plane flexural wave across a square array of circular through-thickness holes or thin-plate inclusions is analyzed using the proposed method. The comparison between the results based on the Mindlin and Kirchhoff theories is shown for the case of multiple holes. The analysis shows that the transmission amplitude of the flexural wave is reduced at certain frequencies due to the Bragg reflection by the inclusions. In the case of thin-plate inclusions, the resonance of the inclusions also brings about a sharp decrease of the transmission amplitude.
中文翻译：
带有圆形散射体的 Mindlin 板上弯曲波的多重散射
弯曲波在具有圆形散射体的弹性板上的多次散射基于考虑板的旋转惯性和剪切变形的 Mindlin 板理论在频域中进行分析。为此，基于基尔霍夫板理论的半解析数值方法被制定为先前研究的扩展。它包括根据波函数展开的叠加来表示弯曲波场，并通过搭配技术确定展开系数。作为演示示例，使用所提出的方法分析了平面弯曲波穿过圆形通孔或薄板夹杂物的方形阵列的传输。对于多孔情况，显示了基于 Mindlin 和 Kirchhoff 理论的结果之间的比较。分析表明，由于夹杂物的布拉格反射，弯曲波的传输幅度在某些频率下减小。在薄板夹杂物的情况下，夹杂物的共振也会带来透射幅度的急剧下降。
更新日期：2021-03-16
中文翻译：
带有圆形散射体的 Mindlin 板上弯曲波的多重散射
弯曲波在具有圆形散射体的弹性板上的多次散射基于考虑板的旋转惯性和剪切变形的 Mindlin 板理论在频域中进行分析。为此，基于基尔霍夫板理论的半解析数值方法被制定为先前研究的扩展。它包括根据波函数展开的叠加来表示弯曲波场，并通过搭配技术确定展开系数。作为演示示例，使用所提出的方法分析了平面弯曲波穿过圆形通孔或薄板夹杂物的方形阵列的传输。对于多孔情况，显示了基于 Mindlin 和 Kirchhoff 理论的结果之间的比较。分析表明，由于夹杂物的布拉格反射，弯曲波的传输幅度在某些频率下减小。在薄板夹杂物的情况下，夹杂物的共振也会带来透射幅度的急剧下降。
京公网安备 11010802027423号