Active exterior cloaking of an inclusion with evanescent multipole devices for flexural waves in thin plates

被引：0

作者：

Allison, F. J. P. ^{[1
]}

Selsil, O. ^{[1
]}

Haslinger, S. G. ^{[1
]}

机构：

[1] Univ Liverpool, Dept Math Sci, Liverpool L69 7ZL, England

来源：

PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2022年 / 380卷 / 2237期

基金：

英国工程与自然科学研究理事会;

关键词：

active cloaking; evanescent devices; flexural waves; cloaking; elastic plate; multipole devices;

D O I：

10.1098/rsta.2022.0072

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We present an active exterior cloak for flexural waves propagating in a Kirchhoff plate of infinite extent. The evanescent multipole devices are characterized by Macdonald functions Kn of the required order, which, assuming time-harmonic vibrations, are solutions of the fourth-order biharmonic equation. It is shown that in the region of interfering waves, which emanate from the devices, a field is recreated which cancels the incident wave to yield a region of 'stillness'. An inclusion is then positioned in this region for further investigation, with additional attention given to the boundary condition.This article is part of the theme issue 'Wave generation and transmission in multi-scale complex media and structured metamaterials (part 2)'.

引用

页数：8

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