Pulse propagation in a chain of o-rings with and without precompression

Pinto, Italo’Ivo Lima Dias; Rosas, Alexandre; Romero, Aldo H.; Lindenberg, Katja

doi:10.1103/physreve.82.031308

Cited by 25 publications

(13 citation statements)

References 20 publications

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“…The effects of a double power law for the contact on nonlinear waves propagation have been studied in [28] and [29]. In these references, the two behaviors come from the special geometry of the objects placed in the chain.…”

Section: Discussionmentioning

confidence: 99%

Propagation of acoustic waves in a one-dimensional array of noncohesive cylinders

2011

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By means of a photoelastic method, we access the visualization of acoustic waves propagating in a one-dimensional array of noncohesive cylinders. As pointed by Nesterenko in the case of spherical grains [V. F. Nesterenko, J. Appl. Mech. Tech. Phys. 24, p. 567 (1983)], the nonlinearity of the contact law between the grains induces a dependence of the wave velocity both on its amplitude and on the confinement force. Our experimental method allows one to access the evolution in time of the internal state of stress of individual grains with excellent accuracy. We show that the velocity of the sound presents two regimes as a function of the confining force. For low forces, the dependence is strongly nonlinear, while it weakens for higher forces. By means of the direct visualization of the contact zone, we show that both micro- and macroscale imperfections of the surface of contact explain the low forces behavior. We test the consistency of our experimental findings results with both the theoretical expectations and with the experimental determination of the force-displacement dependence. We show, moreover, that the main damping process originates in solid friction.

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Section: Discussionmentioning

confidence: 99%

Propagation of acoustic waves in a one-dimensional array of noncohesive cylinders

2011

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“…[g] (1) 0.114/0.122 (3) 12 (4) 1.00 (5) 2.75 (5) (C) (2) 0.171/0.157 (3) -0.99 (5) 2.80 (5) 3.5 (R) (1) 0.037/0.040 (3) 10 (4) 1.08 (5) 2.55 (5) (C) (2) 0 (1) 0.31 (4) 7 (4) 5.796 (6) (R) (2) 0.23 (5) 4 (5) 5.717 (7) (T) (3) -0.07 (5) 7 (5) 0.986 (7) (1) incident solitary compression wave (2) leading reflected solitary compression wave (3) transmitted solitary rarefaction wave (4) value at = 0.6 s (5) value at = 1.4 s (6) average value for ∈ [0.5, 0.6] s (7) average value for ∈ [1.1, 1.3] s (I) (1) −0.17 (4) 10 (4) 1.147 (6) (R) (2) −0.08 (5) 5 (5) 1.083 (7) (T) (3) 0.07 (5) 3 (5) 3.891 (7) (1) leading incident solitary rarefaction wave …”

Section: Discussionmentioning

confidence: 99%

Multiscale tunability of solitary wave dynamics in tensegrity metamaterials

Fraternali

Carpentieri

Skelton

et al. 2014

Applied Physics Letters

155

142

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A new class of strongly nonlinear metamaterials based on tensegrity concepts is proposed and the solitary wave dynamics under impact loading is investigated. Such systems can be tuned into elastic hardening or elastic softening regimes by adjusting local and global prestress. In the softening regime these metamaterials are able to transform initially compression pulse into a solitary rarefaction wave followed by oscillatory tail with progressively decreasing amplitude. Interaction of a compression solitary pulse with an interface between elastically hardening and softening materials having correspondingly low-high acoustic impedances demonstrates anomalous behavior: a train of reflected compression solitary waves in the low impedance material; and a transmitted solitary rarefaction wave with oscillatory tail in high impedance material. The interaction of a rarefaction solitary wave with an interface between elastically softening and elastically hardening materials with high-low impedances also demonstrates anomalous behavior: a reflected solitary rarefaction wave with oscillatory tail in the high impedance branch; and a delayed train of transmitted compression solitary pulses in the low impedance branch. These anomalous impact transformation properties may allow for the design of ultimate impact mitigation devices without relying on energy dissipation.

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“…[9] and analyzed theoretically in Ref. [24]. In this model dissipation was not included, but the elastic force is a double power-law rather than a single one, with exponents 5/2 and 7.…”

Section: Collision Timementioning

confidence: 99%

Dynamical approach to weakly dissipative granular collisions

2015

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Granular systems present surprisingly complicated dynamics. In particular, nonlinear interactions and energy dissipation play important roles in these dynamics. Usually (but admittedly not always), constant coefficients of restitution are introduced phenomenologically to account for energy dissipation when grains collide. The collisions are assumed to be instantaneous and to conserve momentum. Here, we introduce the dissipation through a viscous (velocity-dependent) term in the equations of motion for two colliding grains. Using a first-order approximation, we solve the equations of motion in the low viscosity regime. This approach allows us to calculate the collision time, the final velocity of each grain, and a coefficient of restitution that depends on the relative velocity of the grains. We compare our analytic results with those obtained by numerical integration of the equations of motion and with exact ones obtained by other methods for some geometries.

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Pulse propagation in a chain of o-rings with and without precompression

Cited by 25 publications

References 20 publications

Propagation of acoustic waves in a one-dimensional array of noncohesive cylinders

Propagation of acoustic waves in a one-dimensional array of noncohesive cylinders

Multiscale tunability of solitary wave dynamics in tensegrity metamaterials

Dynamical approach to weakly dissipative granular collisions

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