Nonlinear strain waves in a metamaterial defined a mass-to-mass chain
Open Access
- 1 January 2020
- journal article
- research article
- Published by IOP Publishing in IOP Conference Series: Materials Science and Engineering
- Vol. 709 (3), 033037
- https://doi.org/10.1088/1757-899x/709/3/033037
Abstract
A mathematical model is proposed that is a chain of oscillators consisting of nonlinear elastic elements and masses, each of which contains an internal nonlinear oscillator. Such a model describes a mass-to-mass acoustic metamaterial class. It is shown that the obtained system of equations can be reduced to the nonlinear evolutionary equation of Benjamin-Bona-Mahoni, showing that spatially localized nonlinear deformation waves (solitons) can form in the metamaterial under dynamic action on it.Keywords
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