An analytical approach for calculating natural frequencies of finite one-dimensional acoustic metamaterials

DOI10.1007/S11012-021-01332-4zbMath1526.74024OpenAlexW3134335243MaRDI QIDQ6111139

S. Ahmad Fazelzadeh, Esmaeal Ghavanloo

Publication date: 2 August 2023

Published in: Meccanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11012-021-01332-4

zbMATH Keywords

closed-form solutionmatrix methoddiatomic chainmonoatomic chainband gap existence

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Composite and mixture properties (74E30)

Cites Work

• Wave propagation in an elastic metamaterial with anisotropic effective mass density
• Nonlocal approaches to the dynamics of metamaterials
• Wave propagation properties of one-dimensional acoustic metamaterials with nonlinear diatomic microstructure
• Wave propagation in one-dimensional infinite acoustic metamaterials with long-range interactions
• The nth Power of a 2 × 2 Matrix
• Exact Normal Modes of Oscillation of a Linear Chain of Identical Particles

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