A novel design scheme for acoustic cloaking of complex shape based on region partitioning and multi-origin coordinate transformation

作     者：Pengfei LI Fan YANG Peng WANG Jinfeng ZHAO Zheng ZHONG PengfeiLI;Fan YANG;Peng WANG;Jinfeng ZHAO;Zheng ZHONG

作者机构：School of Aerospace Engineering and Applied MechanicsTongji UniversityShanghai 200092China School of ScienceHarbin Institute of TechnologyShenzhen 518055Guangdong ProvinceChina 

出 版 物：《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学（英文版）)

年 卷 期：2022年第43卷第11期

页      面：1641-1656页

核心收录：

学科分类：08[工学] 080102[工学-固体力学] 0801[工学-力学（可授工学、理学学位）] 

基　　金：supported by the opening project of State Key Laboratory of Explosion Science and Technology (Beijing Institute of Technology)(No. KFJJ22-08M) the State Key Laboratory of Mechanics and Control of Mechanical Structures (No. MCMS-E-0221G02) Shanghai Supercomputer Center 

主　　题：metamaterial acoustic cloak transformation acoustic region partitioning finite element(FE)simulation 

摘      要：Acoustic cloaking is an important application of acoustic *** article proposes a novel design scheme for acoustic cloaking based on the region partitioning and multi-origin coordinate *** cloaked region is partitioned into multiple narrow *** each strip,a local coordinate system is established with the local origin located at the strip center,and a coordinate transformation in the local coordinate system is conducted to squeeze the material along the strip length direction to form the cloaked *** facilitate the implementation of the acoustic cloak,the multilayer effective medium is used to approximate the non-uniform anisotropic material *** effectiveness of the proposed coordinate transformation method is verified by comparing the results from our method with those in the ***,the results of a circular acoustic cloak in the literature are reproduced by using our finite element(FE)simulations for ***,a comparison is made between the traditional coordinate transformation scheme and our new scheme for simulating an elliptical acoustic *** results indicate that the proposed multi-origin coordinate transformation method has a better cloaking effect on the incident wave along the ellipse minor axis direction than the traditional *** means that for the same object,an appropriate transformation scheme can be selected for different incident wave directions to achieve the optimal control *** validated scheme is further used to design an arch-shaped cloak composed of an upper semicircular area and a lower rectangular area,by combining the traditional single-centered coordinate transformation method for the semicircular area and the proposed multi-origin method for the rectangular *** results show that the designed cloak can effectively control the wave propagation with significantly reduced acoustic pressure *** work provides a flexible acoustic cloak design method