Nonlinear wave dispersion in monoatomic chains with lumped and distributed masses: discrete and continuum models
DOI10.1007/S10483-024-3100-9zbMATH Open1539.74173MaRDI QIDQ6542736
Esmaeal Ghavanloo, Sami El-Borgi
Publication date: 22 May 2024
Published in: AMM. Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)
method of multiple scalesphase velocitylattice modelcontinualizationbi-material barnonlinear mass-spring chainsecond-order Lindstedt-Poincaré method
Composite and mixture properties (74E30) Nonlinear waves in solid mechanics (74J30) Molecular, statistical, and kinetic theories in solid mechanics (74A25)
Cites Work
- Continuum model of a one-dimensional lattice of metamaterials
- Study of wave propagation in strongly nonlinear periodic lattices using a harmonic balance approach
- Multiple scales analysis of wave-wave interactions in a cubically nonlinear monoatomic chain
- Symplectic analysis for wave propagation in one-dimensional nonlinear periodic structures
- Dynamics of a weakly non-linear periodic chain
- Improved continuous models for discrete media
- Nonlinear waves in diatomic crystals
- Controllable wave propagation in a weakly nonlinear monoatomic lattice chain with nonlocal interaction and active control
- Second-order perturbation analysis of low-amplitude traveling waves in a periodic chain with quadratic and cubic nonlinearity
- Active control of elastic wave propagation in nonlinear phononic crystals consisting of diatomic lattice chain
- Nonlinear elastic wave propagation in a phononic material with periodic solid-solid contact interface
- Continuum approach to discreteness
- Numerical investigation of 1D continuum dynamical models of discrete chain
- On higher order methods of multiple scales in non-linear oscillations-periodic steady state response
- Bipenalty method for time domain computational dynamics
- Approximations to solitary waves on lattices, III: the monatomic lattice with second-neighbour interactions
- Wave Propagation and Resonance in a One-Dimensional Nonlinear Discrete Periodic Medium
- Solitary waves in a diatomic lattice: Analytic approximations for a wide range of speeds by quasi-continuum methods
- Symplectic analysis for regulating wave propagation in a one-dimensional nonlinear graded metamaterial
- Discrete and continuous models of linear elasticity: history and connections
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