2011
DOI: 10.1115/1.4003349
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Shock Absorption Using Linear Particle Chains With Multiple Impacts

Abstract: In this paper, we numerically solved the elastic multiple impact problem in a linear chain of balls using the impuhe momentum and Hertz contact theory based methods. The first method depends on a parameter called the impulse correlation ratio (ICR) while the latter one depends on the material properties and geometries of the colliding bodies. We compared the post impact velocities from the two methods and we found that the two methods yield similar solutions for elastic collisions. Then, we develop an energy a… Show more

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Cited by 17 publications
(17 citation statements)
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References 29 publications
(37 reference statements)
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“…In the context of the linear chain, we relate the filtering behavior to the localization of eigenmodes in the presence of disorder. One may imagine applications exploiting disorder effects, as could be pursued in the spirit of [5,10,13,14,32,40,47,49] where such systems were engineered to produce a desired output.…”
Section: Discussionmentioning
confidence: 99%
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“…In the context of the linear chain, we relate the filtering behavior to the localization of eigenmodes in the presence of disorder. One may imagine applications exploiting disorder effects, as could be pursued in the spirit of [5,10,13,14,32,40,47,49] where such systems were engineered to produce a desired output.…”
Section: Discussionmentioning
confidence: 99%
“…Additionally, there is significant attention placed on the behavior of "designed" and ordered nonlinear chains, often motivated by energy modification and shock-protection applications. Studies have employed smoothly varying mass distributions [40], "decoration" (e.g., deliberate insertion of different sized masses) [10,13,14,27] tapering [5,32,47,49] and controlled variation of the particle material [3,15]. Combinations of both tapering and decoration have also been employed [6,13].…”
Section: Introductionmentioning
confidence: 99%
“…(5), (13), (14), (15), (16), (17) and (18) is integrated with respect to the primary impulse P * . The primary impulse P * is first discretized into small steps of size ΔP and then the numerical algorithm described in [31,41] is applied for the numerical integration.…”
Section: Brief Presentation Of Lzb Multiple Impact Modelmentioning
confidence: 99%
“…Moreover, they present serious deficiencies like non-uniqueness of the restitution coefficients for a given energetic behavior, or the necessity to estimate the restitution matrix for each chain and each initial data. Models based on Routh's impact dynamics [3, §4.2.13] and an impulse correlation ratio (ICR) have been proposed [5,15]. However, it seems that the assumption that the ICR is constant during the impact process and can be estimated from experiments between triplets of beads may fail [43, §6.4].…”
Section: Introductionmentioning
confidence: 99%
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