Weakly nonlinear wave interactions in multi-degree of freedom periodic structures
From MaRDI portal
Publication:1727603
DOI10.1016/j.wavemoti.2014.03.003zbMath1456.74028OpenAlexW1967520472MaRDI QIDQ1727603
Massimo Ruzzene, Michael J. Leamy, Kevin L. Manktelow
Publication date: 20 February 2019
Published in: Wave Motion (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.wavemoti.2014.03.003
wave interactionperiodic structurefrequency shiftweakly nonlinear dispersion analysisweakly nonlinear phononic crystal
Periodic solutions to PDEs (35B10) Crystalline structure (74E15) Nonlinear waves in solid mechanics (74J30)
Related Items
Dual-tuning mechanism for elastic wave transmission in a triatomic lattice with string stiffening, Modal interaction and higher harmonic generation in a weakly nonlinear, periodic mass-spring chain, Active control of elastic wave propagation in nonlinear phononic crystals consisting of diatomic lattice chain, Active control of wave propagation in nonlinear planar networks using piezoelectric actuation, Elastic wave propagation in weakly nonlinear media and metamaterials: a review of recent developments, Transient analysis of nonlinear locally resonant metamaterials via computational homogenization, Tunable band structures design for elastic wave transmission in tension metamaterial chain, Chiral and non-centrosymmetric effects on the nonlinear wave propagation characteristics of architectured cellular materials, Review of exploiting nonlinearity in phononic materials to enable nonlinear wave responses
Cites Work
- Multiple scales analysis of wave-wave interactions in a cubically nonlinear monoatomic chain
- Dynamics of a weakly non-linear periodic chain
- Comparison of asymptotic and transfer matrix approaches for evaluating intensity-dependent dispersion in nonlinear photonic and phononic crystals
- Nonlinear Response of a Taut String to Longitudinal and Transverse End Excitation
- Dynamic anisotropy and localization in elastic lattice systems