Second-order perturbation analysis of low-amplitude traveling waves in a periodic chain with quadratic and cubic nonlinearity

DOI10.1016/J.WAVEMOTI.2016.11.004OpenAlexW2552952674MaRDI QIDQ2186253

Smruti R. Panigrahi, Alejandro R. Diaz, Brian F. Feeny

Publication date: 9 June 2020

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.wavemoti.2016.11.004

zbMATH Keywords

traveling wavesmetamaterialsnonlinear waveguidesamplitude-dependent dispersionsecond-order multiple scales

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX) Ordinary differential equations (34-XX)

Related Items (3)

Wave-wave interactions in a periodic chain with quadratic nonlinearity ⋮ Elastic wave propagation in weakly nonlinear media and metamaterials: a review of recent developments ⋮ Review of exploiting nonlinearity in phononic materials to enable nonlinear wave responses

Cites Work

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• Multiple scales analysis of wave-wave interactions in a cubically nonlinear monoatomic chain
• Dynamic interactions of traveling waves propagating in a linear chain with an local essentially nonlinear attachment
• Dynamics of a weakly non-linear periodic chain
• Nonlinear acoustic wave propagating in one-dimensional layered system
• Resonant oscillations of a weakly coupled, nonlinear layered system
• Optimal synthesis of 2D phononic crystals for broadband frequency isolation
• Systematic design of phononic band–gap materials and structures by topology optimization

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