Multiple scales analysis of wave-wave interactions in a cubically nonlinear monoatomic chain
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Publication:547226
DOI10.1007/s11071-010-9796-1zbMath1215.74039OpenAlexW2076068998MaRDI QIDQ547226
Massimo Ruzzene, Michael J. Leamy, Kevin L. Manktelow
Publication date: 30 June 2011
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-010-9796-1
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Cites Work
- Unnamed Item
- Study of wave propagation in strongly nonlinear periodic lattices using a harmonic balance approach
- 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
- Systematic design of phononic band–gap materials and structures by topology optimization
- Evolution Equations for Plane Cubically Nonlinear Elastic Waves