Nonlinear wave localization in an acoustic metamaterial

被引：3
|
作者：
Porubov, A. V. [1 ]
机构：
[1] Inst Problems Mech Engn, Bolshoy 61, St Petersburg, Russia
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2023年 / 119卷
关键词：
Metamaterial; Nonlinear wave; Continuum limit; Localized strain; NEGATIVE EFFECTIVE-MASS;
D O I：
10.1016/j.cnsns.2023.107095
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The nonlinear strain solitary waves in a metamaterial mass-in-mass lattice model are studied in the continuum limit. The main feature of the model is in the presence of the masses attached to the masses of the main chain giving rise to the coupling between the movement of the masses. An asymptotic procedure is developed to decouple the governing continuum equations and obtain the single equation for longitudinal strains. Analytical and numerical solutions of the equation reveal an influence of the nonlinearity of the metamaterial model and the attached mass on the type of strain waves localization and the number of generated localized waves. This, in turn, suggests an improvement of the model by an inclusion of a switch-on/off of the attached masses to provide a control of a nonlinear strain wave localization in the metamaterial.(c) 2023 Elsevier B.V. All rights reserved.
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页数：9
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