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Observation of two-wave structure in strongly nonlinear dissipative granular chains
Alexandre Rosas1, Aldo H Romero, Vitali F Nesterenko
1Departamento de Física, CCEN, Universidade Federal da Paraíba, Caixa Postal 5008, 58059-900 João Pessoa, PB, Brazil.
A granular chain with strong nonlinear viscosity shows wave disturbances with two dissipation time scales. Above critical viscosity, a single shocklike pulse forms, dominated by dissipation and nonlinearity.
Area of Science:
- Physics
- Materials Science
- Nonlinear Dynamics
Background:
- Granular chains exhibit complex wave propagation behaviors.
- Viscosity and nonlinearity significantly influence energy dissipation in granular systems.
Purpose of the Study:
- To investigate wave propagation and dissipation in a strongly nonlinear viscous granular chain.
- To identify the influence of critical viscosity on wave pulse behavior.
Main Methods:
- Simulating a granular chain composed of viscous elements.
- Analyzing wave disturbances generated by a single grain impact.
- Examining wave propagation dynamics across different viscosity levels.
Main Results:
- Observed wave disturbances with two distinct time scales of dissipation.
- Identified a critical viscosity threshold.
- Above this threshold, the two wave pulses merged into a single, shocklike, attenuating pulse.
Conclusions:
- The behavior of wave disturbances in viscous granular chains is strongly dependent on viscosity.
- Dissipation and nonlinearity are key factors in shaping the shocklike pulse above critical viscosity.
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