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- W2922495290 abstract "A well-known mathematical model representing a chain of oscillators consisting of elastic elements and masses, each containing an internal oscillator and describing the class of acoustic metamaterials “mass-in-mass”, is generalized by taking into account the nonlinearity of the external and (or) internal elastic elements. As a result of analysis of the long-wavelength approximation of the obtained system, it is shown that spatially localized nonlinear deformation waves (solitons) can be formed in a metamaterial, under dynamic influence on it. The dependencies connecting the parameters of a localized wave are determined: amplitude, velocity and width with inertial and elastic characteristics of the metamaterial." @default.
- W2922495290 created "2019-03-22" @default.
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- W2922495290 date "2019-01-01" @default.
- W2922495290 modified "2023-09-23" @default.
- W2922495290 title "Nonlinear Localized Waves of Deformation in the Class of Metamaterials as Set as the Mass-in-mass Chain" @default.
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- W2922495290 doi "https://doi.org/10.1007/978-3-030-13307-8_8" @default.
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