Experimental measurements of the granular density of modes via impact
arXiv:2403.10322 · doi:10.1103/PhysRevE.110.014902
Abstract
The jamming transition is an important feature of granular materials, with prior work showing an excess of low frequency modes in the granular analog to the density of states, the granular density of modes. In this work, we present an experimental method for acoustically measuring the granular density of modes using a single impact event to excite vibrational modes in an experimental, three dimensional, granular material. We test three different granular materials, all of which are composed of spherical beads. The first two systems are monodisperse collections of either 6 mm or 8 mm diameter beads. The third system is a bidisperse mixture of the previous two bead sizes. During data collection, the particles are confined to a box; on top of this box, and resting on the granular material, is a light, rigid sheet onto which pressure can be applied to the system. To excite the material, a steel impactor ball is dropped on top of the system. The response of the granular material to the impact pulse is recorded by piezoelectric sensors buried throughout the material, and the density of modes is computed from the spectrum of the velocity autocorrelation of these sensors. Our measurements of the density of modes show more low frequency modes at low pressure, consistent with previous experimental and numerical results, as well as several low frequency peaks in the density of modes that shift with applied pressure. Our method represents an experimentally simple technique for investigating the granular density of modes and may increase the accessibility and number of such measurements.
arXiv comment11 pages, 8 figures
References in corpus (19)
- Jamming at Zero Temperature and Zero Applied Stress: the Epitome of Disorder
- Universal Robotic Gripper based on the Jamming of Granular Material
- Jamming, Force Chains and Fragile Matter
- Jamming of Soft Particles: Geometry, Mechanics, Scaling and Isostaticity
- The Jamming Transition in Granular Systems
- Effects of compression on the vibrational modes of marginally jammed solids
- Vibrations and diverging length scales near the unjamming transition
- Continuum limit of the vibrational properties of amorphous solids
- Critical scaling in linear response of frictionless granular packings near jamming
- Low-frequency vibrations of soft colloidal glasses
- Elastic wave propagation in confined granular systems
- Critical and non-critical jamming of frictional grains
- Sound propagation and force chains in granular materials
- Unjamming a granular hopper by vibration
- Jamming as a critical phenomenon: a field theory of zero-temperature grain packings
- Critical jamming of frictional grains in the generalized isostaticity picture
- Elementary Excitation Modes in a Granular Glass above Jamming
- Unjamming dynamics: the micromechanics of a seismic fault model
- Sounds of Failure: Passive Acoustic Measurements of Excited Vibrational Modes