Negative effective mass in acoustic metamaterial with nonlinear mass-in-mass subsystems

DOI10.1016/j.cnsns.2017.03.017zbMath1467.74030OpenAlexW2601242798MaRDI QIDQ2007401

Yanyan Li

Publication date: 14 October 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2017.03.017

zbMATH Keywords

effective massacoustic metamaterialintegrals of the cn functionsnonlinear mass-in-mass system

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45)

Related Items (9)

Broadband vibration attenuation in nonlinear meta-structures with magnet coupling mechanism: theory and experiments ⋮ On mechanical metastructures applied in vibration suppression -- review ⋮ Active control of wave propagation in nonlinear planar networks using piezoelectric actuation ⋮ Nonlinear wave localization in an acoustic metamaterial ⋮ Different dynamics of a periodic mass-in-mass nonlinear chain during a single mode excitation ⋮ On the multi-mode behavior of vibrating rods attached to nonlinear springs ⋮ Complex band structure and attenuation performance of a viscoelastic phononic crystal with finite out-of-plane extension ⋮ Wave propagation in one-dimensional infinite acoustic metamaterials with long-range interactions ⋮ Nonlinear lightweight metastructure with effective negative stiffness

Cites Work

• On defining equivalent systems for certain ordinary non-linear differential equations
• On the application of elliptic functions in non-linear forced oscillations
• On modifications of Newton's second law and linear continuum elastodynamics
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