Mathematical modeling and analysis of a meta-plate for very low-frequency band gap

DOI10.1016/j.apm.2019.04.033zbMath1481.74391OpenAlexW2939757213MaRDI QIDQ1984978

Yanyan Li

Publication date: 7 April 2020

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2019.04.033

zbMATH Keywords

plane-wave expansion methodhigh-static-low-dynamic-stiffness resonatormeta-platevery low frequency band gap

Mathematics Subject Classification ID

Bulk waves in solid mechanics (74J10)

Related Items (6)

Tunable low frequency band gaps and sound transmission loss of a lever-type metamaterial plate ⋮ Line spectrum chaotification on QZS systems with time-delay control ⋮ Quasi-full bandgap generating mechanism by coupling negative stiffness and inertial amplification ⋮ Dispersion of elastic waves in a micropolar metamaterial plate with periodical arranged resonators ⋮ Design of single-phase chiral metamaterials for broadband double negativity via shape optimization ⋮ Ultra-wide low-frequency band gap in locally-resonant plates with tunable inerter-based resonators

Cites Work

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• Theoretical investigation of the behavior of an acoustic metamaterial with extreme Young's modulus
• A nonlinear resonator with inertial amplification for very low-frequency flexural wave attenuations in beams
• Bandgap calculations of two-dimensional solid-fluid phononic crystals with the boundary element method
• Dispersion relations of elastic waves in two-dimensional tessellated piezoelectric phononic crystals
• A local radial basis function collocation method for band structure computation of phononic crystals with scatterers of arbitrary geometry
• Bandgap calculation of two-dimensional mixed solid–fluid phononic crystals by Dirichlet-to-Neumann maps

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