Nonlinear Metamaterials with Multiple Local Mechanical Resonators: Analytical and Numerical Analyses

DOI10.1007/978-3-030-34724-6_2zbMath1492.74024OpenAlexW3004166524MaRDI QIDQ5013746

Mohammad Bukhari, Oumar Barry

Publication date: 2 December 2021

Published in: New Trends in Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-34724-6_2

zbMATH Keywords

method of multiple scaleswave propagationdispersion equationperturbation techniqueacoustic metamaterialstiffness nonlinearityperiodic one-dimensional chain model

Mathematics Subject Classification ID

Composite and mixture properties (74E30) Wave scattering in solid mechanics (74J20) Mathematical modeling or simulation for problems pertaining to mechanics of deformable solids (74-10)

Uses Software

• Matlab

Cites Work

• Study of wave propagation in strongly nonlinear periodic lattices using a harmonic balance approach
• Multiple scales analysis of wave-wave interactions in a cubically nonlinear monoatomic chain
• Spectro-spatial wave features as detectors and classifiers of nonlinearity in periodic chains
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