A time-varying mass metamaterial for non-reciprocal wave propagation

被引：32

作者：

Huang, Jiahui ^{[1
,2
]}

Zhou, Xiaoming ^{[1
,2
]}

机构：

[1] Beijing Inst Technol, Key Lab Dynam & Control Flight Vehicle, Minist Educ, Beijing 100081, Peoples R China

[2] Beijing Inst Technol, Sch Aerosp Engn, Beijing 100081, Peoples R China

来源：

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES | 2019年 / 164卷

基金：

中国国家自然科学基金;

关键词：

Time-varying mass; Space-time modulation; Non-reciprocity; Unidirectional wave propagation; SPACE PERIODIC MEDIA; DISPERSION-RELATIONS; SOUND;

D O I：

10.1016/j.ijsolstr.2018.12.029

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

A new type of metamaterial element is proposed to possess time-dependent effective inertial mass, and proved to be valid for the design of the space-time lattice metamaterial that enables non-reciprocal wave propagation. The cell structure is a three-body dynamic system, consisting of a primary body plus two additional bodies that move along the circular orbit. The translational momentum contributed by the orbiting bodies varies periodically depending on their temporal phases, accounting for the time-driven inertial mass observed macroscopically, as verified by the rigorous theoretical derivation. Based on the time-varying mass element, we present the design of the lattice metamaterials with inertial mass that varies periodically in both space and time. Non-reciprocal wave phenomena due to the wave-like modulation of mass are demonstrated by use of the Bloch-based method and the effective-mass representation. The influence of the modulating frequency and amplitude on the asymmetric bandgap is analyzed. The proposed time-varying metamaterial with the non-reciprocal wave behavior is expected to open a new avenue towards unprecedented control over waves and vibrations. (C) 2018 Elsevier Ltd. All rights reserved.

引用

页码：25 / 36

页数：12

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