Experimental Study of Strongly Nonlinear Resonances and Anti-Resonances in Granular Dimer Chains

Potekin, Randi; Jayaprakash, K. R.; McFarland, D. Michael; Remick, Kevin; Bergman, Lawrence A.; Vakakis, Alexander F.

doi:10.1007/s11340-012-9673-6

Cited by 40 publications

(25 citation statements)

References 21 publications

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“…They left behind the main compression pulse taking away its energy and resulting in its decay. In numerical calculations the maximum attenuation of compression stress pulse was observed at value  This behavior was confirmed in recent experiments performed by Potekin et al in a chain of 21 spheres suspended on the rods to minimize the dissipation effects [21].…”

Section: Introductionsupporting

confidence: 74%

“…Thus the dissipative damping should be similar to previous case of the chain with mass ratio 0.98. It should be mentioned that the dimer systems with different mass ratio, when composed from spherical particles [20,21], could experience a different damping on the non-fixed sphere/sphere contacts than in our systems with fixed plane/sphere contacts. As the signal propagates through the dissipative system, the amplitudes of the leading double peak pulse decrease, while the number of following pulses increased in numerical calculations in agreement with experiments (Fig.…”

Section: Fig 6 (Color Online) Attenuation In Experiments (Blue) Andmentioning

confidence: 76%

“…The value of damping coefficient was significantly smaller than 32-35 kg/s in [21] probably due to the different nature of contacts. Two mass chain with mass ratio 0.55 demonstrated better performance in experiments and in numerical calculations only when the damping coefficient was below critical value.…”

Section: Introductionmentioning

confidence: 82%

“…To explain this phenomenon we added linear viscous term (Fvis) to all contact interactions. Introduction of effective viscosity to describe dissipation processes (friction, viscoplastic deformation) on the contacts is similar to the one used in [21,[34][35][36][37][38]. Resulting viscous forces acting on the impactor, first particle, on cylinders and spheres inside the chain and between last particle and the flat wall at the deformed contacts are described by Eqs.…”

Section: Experimental Set Upmentioning

confidence: 99%

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Attenuation of short strongly nonlinear stress pulses in dissipative granular chains

Wang

Nesterenko

2015

Phys. Rev. E

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Abstract. Attenuation of short, strongly nonlinear stress pulses in chains of spheres and cylinders was investigated experimentally and numerically for two ratios of their masses keeping their contacts identical. The chain with mass ratio 0.98 supports solitary waves and another one (with mass ratio 0.55) supports nonstationary pulses which preserve their identity only on relatively short distances, but attenuate on longer distances because of radiation of small amplitude tails generated by oscillating small mass particles. Pulse attenuation in experiments in the chain with mass ratio 0.55 was faster at the same number of the particles from the entrance than in the chain with mass ratio 0.98. It is in quantitative agreement with results of numerical calculations with effective damping coefficient 6 kg/s. This level of damping was critical for eliminating the gap openings between particles in the system with mass ratio 0.55 present at lower or no damping. However with increase of dissipation numerical results show that the chain with mass ratio 0.98 provides faster attenuation than chain with mass ratio 0.55 due to the 2 fact that the former system supports the narrower pulse with the larger difference between velocities of neighboring particles. The investigated chains demonstrated different wave structure at zero dissipation and at intermediate damping coefficients and the similar behavior at large damping.

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Section: Introductionsupporting

confidence: 74%

Section: Fig 6 (Color Online) Attenuation In Experiments (Blue) Andmentioning

confidence: 76%

Section: Introductionmentioning

confidence: 82%

Section: Experimental Set Upmentioning

confidence: 99%

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Attenuation of short strongly nonlinear stress pulses in dissipative granular chains

Wang

Nesterenko

2015

Phys. Rev. E

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“…Further to that, the resonance phenomena that lead to a substantial attenuation of the propagating pulses were explored [94]. Moreover, the phenomena of the resonances and the anti-resonances have been experimentally verified by Potekin et al [104].…”

Section: Current Research In the Area Of Granular Mediamentioning

confidence: 94%

Introduction

2017

Topics on the Nonlinear Dynamics and Acoustics of Ordered Granular Media

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Effects of uncertainties on pulse attenuation in dimer granular chains with and without pre-compression

Hasan

Pichler

Starosvetsky

et al. 2014

Continuum Mech. Thermodyn.

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Experimental Study of Strongly Nonlinear Resonances and Anti-Resonances in Granular Dimer Chains

Cited by 40 publications

References 21 publications

Attenuation of short strongly nonlinear stress pulses in dissipative granular chains

Attenuation of short strongly nonlinear stress pulses in dissipative granular chains

Introduction

Effects of uncertainties on pulse attenuation in dimer granular chains with and without pre-compression

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