Journal
PHYSICAL REVIEW E
Volume 88, Issue 4, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.88.043203
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Funding
- MICINN of the Spanish Government [FIS2011-29734-C02-02]
- ANR Project Stabingram [ANR-2010-BLAN-0927-03]
- Generalitat Valenciana [BEST2012]
- Spanish Ministry of Science and Innovation
- Universitat Politecnica de Valencia
- Programa de Contratos Post-Doctorales conMovilidad UPV del Campus de Eexcelencia Internacional [CEI-01-11]
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The propagation of nonlinear compressional waves in a one-dimensional granular chain driven at one end by a harmonic excitation is studied. The chain is described by a Fermi-Pasta-Ulam (FPU) lattice model with quadratic nonlinearity (alpha-FPU model), valid for strong initial compression of the chain by an external static force. A successive approximations method is used to obtain the analytical expressions for the amplitudes of the static displacement field and of the fundamental and second harmonics propagating through the lattice. Both propagating and evanescent second harmonics are shown to influence the nonlinear propagation characteristics of the fundamental frequency. The propagating regime is characterized by a periodic energy transfer between first and second harmonics, resulting from dispersion, which disappears when the second harmonic becomes evanescent.
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