Nonlinear wave localization in an acoustic metamaterial with attached masses through one element of main chain

IF 1.9 4区 工程技术 Q3 MECHANICS
A.V. Porubov
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引用次数: 0

Abstract

The nonlinear strain solitary waves in a metamaterial mass-in-mass lattice model with a di-atomic symmetry is studied when attached masses tare located through one element of main chain are studied in the continuum limit. The reasonable variables are introduced to account for strains. An asymptotic procedure is developed to reduce coupled continuum equations to a single equation for longitudinal strains. A correspondence with the classic model with a di-atomic symmetry is established. An improvement of the model is suggested to account for a switch-on/off of the parts of the metamaterial model arising due to the studied kind of symmetry. It allows us to change the behavior of the localized nonlinear strain waves. This improvement is important for description of a durability of the metamaterial. Also it helps to understand new heat processes, like thermal diode, in complex symmetric lattices.

声超材料中的非线性波局部化,通过主链上的一个元件实现附着质点
在连续极限下研究了具有二原子对称性的超材料质中质晶格模型中的非线性应变孤波,当时附质量 tare 位于主链的一个元素上。引入了合理变量来解释应变。建立了一个渐近程序,将耦合连续方程简化为纵向应变的单一方程。建立了与具有二原子对称性的经典模型的对应关系。建议对模型进行改进,以考虑到由于所研究的对称性类型而产生的超材料模型各部分的开关。它允许我们改变局部非线性应变波的行为。这种改进对于描述超材料的耐久性非常重要。此外,它还有助于理解复杂对称晶格中的新热过程,如热二极管。
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来源期刊
CiteScore
4.10
自引率
4.20%
发文量
114
审稿时长
9 months
期刊介绍: Mechanics Research Communications publishes, as rapidly as possible, peer-reviewed manuscripts of high standards but restricted length. It aims to provide: • a fast means of communication • an exchange of ideas among workers in mechanics • an effective method of bringing new results quickly to the public • an informal vehicle for the discussion • of ideas that may still be in the formative stages The field of Mechanics will be understood to encompass the behavior of continua, fluids, solids, particles and their mixtures. Submissions must contain a strong, novel contribution to the field of mechanics, and ideally should be focused on current issues in the field involving theoretical, experimental and/or applied research, preferably within the broad expertise encompassed by the Board of Associate Editors. Deviations from these areas should be discussed in advance with the Editor-in-Chief.
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