Short Pulse Dynamics in Strongly Nonlinear Dissipative Granular Chains
arXiv:0808.0527 · doi:10.1103/PhysRevE.78.051303
Abstract
We study the energy decay properties of a pulse propagating in a strongly nonlinear granular chain with damping proportional to the relative velocity of the grains. We observe a wave disturbance that at low viscosities consists of two parts exhibiting two entirely different time scales of dissipation. One part is an attenuating solitary wave, is dominated by discreteness and nonlinearity effects as in a dissipationless chain, and has the shorter lifetime. The other is a purely dissipative shocklike structure with a much longer lifetime and exists only in the presence of dissipation. The range of viscosities and initial configurations that lead to this complex wave disturbance are explored.
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Cited by in corpus (7)
- Nonlinear Coherent Structures in Granular Crystals
- Pulse propagation in tapered granular chains: An analytic study
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- Experimental evidence of solitary wave interaction in Hertzian chains
- Wave Propagation in a Strongly Nonlinear Locally Resonant Granular Crystal
- Evolution of the Primary Pulse in 1D Granular Crystals Subject to On-Site Perturbations: Analytical Study
- Nature of short high amplitude pulses in a periodic dissipative laminate metamaterial