Elastic twisting metamaterial for perfect longitudinal-torsional wave mode conversion

IF 4.5 2区 工程技术 Q1 MATHEMATICS, APPLIED
Shengjie Yao, Yijun Chai, Xiongwei Yang, Yueming Li
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引用次数: 0

Abstract

In this work, we design a twisting metamaterial for longitudinal-torsional (L-T) mode conversion in pipes through exploring the theory of perfect transmodal Fabry-Perot interference (TFPI). Assuming that the axial and radial motions in pipes can be decoupled, we find that the metamaterial can be designed in a rectangular coordinate system, which is much more convenient than that in a cylindrical system. Numerical calculation with detailed microstructures shows that an efficient L-T mode conversion can be obtained in pipes with different radii. In addition, we fabricate mode-converting microstructures on an aluminum pipe and conduct ultrasonic experiments, and the results are in good agreement with the numerical calculations. We expect that the proposed L-T mode-converting metamaterial and its design methodology can be applied in various ultrasonic devices.

弹性扭转超材料,实现完美的纵扭波形转换
在这项工作中,我们通过探索完美跨模法布里-珀罗干涉(TFPI)理论,设计了一种用于管道纵向-扭转(L-T)模式转换的扭转超材料。假设管道的轴向和径向运动可以解耦,我们发现可以在直角坐标系下设计超材料,这比在圆柱坐标系下设计更方便。详细的数值计算表明,在不同半径的管道中,可以获得有效的L-T模式转换。此外,我们还在铝管上制作了模转换微结构,并进行了超声实验,结果与数值计算结果吻合较好。我们期望所提出的L-T模式转换超材料及其设计方法可以应用于各种超声波器件。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
CiteScore
6.70
自引率
9.10%
发文量
106
审稿时长
2.0 months
期刊介绍: Applied Mathematics and Mechanics is the English version of a journal on applied mathematics and mechanics published in the People''s Republic of China. Our Editorial Committee, headed by Professor Chien Weizang, Ph.D., President of Shanghai University, consists of scientists in the fields of applied mathematics and mechanics from all over China. Founded by Professor Chien Weizang in 1980, Applied Mathematics and Mechanics became a bimonthly in 1981 and then a monthly in 1985. It is a comprehensive journal presenting original research papers on mechanics, mathematical methods and modeling in mechanics as well as applied mathematics relevant to neoteric mechanics.
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