Demonstration of accelerating and decelerating nonlinear impulse waves in functionally graded granular chains

Chaunsali, Rajesh; Kim, Eun‐Ho; Yang, Jinkyu

doi:10.1098/rsta.2017.0136

Cited by 6 publications

(4 citation statements)

References 33 publications

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“…The accelerating and decelerating waves in graded chains have been also explored in previous studies (Sen et al, 2001;Melo et al, 2006;Doney et al, 2009;Machado et al, 2013;Chaunsali et al, 2018). However, our system is different from those in previous studies in that (1) the unit cells are bonded together supporting both compressive and tensile motions, and (2) they are deformed modestly in a weakly nonlinear regime.…”

Section: Resultsmentioning

confidence: 94%

Nonlinear wave propagation in 3D-printed graded lattices of hollow elliptical cylinders

Kim

Yang

2019

Journal of the Mechanics and Physics of Solids

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We propose a 3D-printed graded lattice made of hollow elliptical cylinders (HECs) as a new way to design impact mitigation systems. We observe asymmetric dynamics in the graded HEC chains with increasing and decreasing stiffness. Specifically, the increasing stiffness chain shows an acceleration of the propagating waves, while the decreasing stiffness chain shows the opposite. From the standpoint of impact mitigation, the decreasing stiffness chain combined with the strain-softening behavior of HECs results in an order-of-magnitude improvement in force attenuation compared to the increasing stiffness chain. We extend this finding to the graded 2D arrays and demonstrate a similar trend of wave transmission efficiency contrast between the increasing and decreasing stiffness lattices. The 3D-printed HEC lattices shown in this study can lead to the development of a new type of impact mitigating and shock absorbing structures.

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Section: Resultsmentioning

confidence: 94%

Nonlinear wave propagation in 3D-printed graded lattices of hollow elliptical cylinders

Kim

Yang

2019

Journal of the Mechanics and Physics of Solids

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“…Including the diatomic chain, various decorated and tapered (graded) chains are also investigated for impact mitigation by absorbing and dispersing the impact energy [60][61][62][63][64]. In the tapered or graded chains having gradually varying particle mass or stiffness, the wave speed gradually changes depending on the mass and stiffness variations.…”

Section: Nonlinear Wave Propagationmentioning

confidence: 99%

“…In the tapered or graded chains having gradually varying particle mass or stiffness, the wave speed gradually changes depending on the mass and stiffness variations. Interestingly when the contact stiffness gradually varies in the cylinder chain, the wave speed and force intensity also varies with minimum scattering of the impulse energy [64]. However, when the particle mass varies in a sphere chain, the impact energy efficiently scatters as it propagates due to the momentum changes in particles [60,62].…”

Section: Nonlinear Wave Propagationmentioning

confidence: 99%

Review: Wave propagation in granular metamaterials

Kim

Yang

2019

Funct. Compos. Struct.

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In this article, we review linear and nonlinear wave propagation in granular metamaterials with local resonances. The granular structures having inherent nonlinearity in contact interactions can support various wave dynamics from nearly linear to highly nonlinear regime depending on the precompression and wave amplitudes. Therefore it has been widely used for an ideal test-bed to realize different types of wave structures. The linear and nonlinear waves in granular metamaterials show distinctive features compared to those of conventional granular crystals due to local resonances. Moreover, the effect of local resonance on linear waves is substantially different from that on nonlinear waves in granular systems. For the comprehensive understanding of the effect of local resonances in granular metamaterials, their linear and nonlinear wave dynamics are compared with those of conventional granular crystals in both monoatomic and diatomic configurations.

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“…Localization of deformations in nonlinear elastic lattices is discussed in the insightful paper of Ruzzene et al [52]. Acceleration and deceleration of nonlinear impulse waves in functionally graded materials is demonstrated in the work of Yang and coworkers [53]. James [54] offers a brief, but exhaustive review of the topic, and also communicates some new insights on travelling breathers and solitary waves in lattices with generic strongly nonlinear interactions.…”

Section: Contributionsmentioning

confidence: 99%

Introduction to a topical issue ‘nonlinear energy transfer in dynamical and acoustical Systems'

Gendelman

Vakakis

2018

Phil. Trans. R. Soc. A.

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This topical issue is devoted to recent developments in the broader field of energy transfer across scales in nonlinear dynamical and acoustical systems. Nonlinear energy transfers are common in Nature, with perhaps the most famous example being energy cascading from large to small length scales in turbulent flows. Yet nonlinearity has been traditionally perceived either as an unavoidable nuisance or as an unwelcome design restriction in engineering systems. Nowadays, however, this trend is reversing, with nonlinear phenomena being intensely studied in diverse disciplines. Furthermore, strong nonlinearity is now intentionally used and explored in a variety of mechanical and physical settings, such as granular media, acoustic metamaterials, nonlinear energy sinks, essentially nonlinear and nonlocal lattices, vibro-impact oscillators, vibration and shock isolation systems, nanotechnology, biomimetic systems, microelectronics, energy harvesters and in other applications. This topical issue is an attempt to document in a single volume some of these recent research developments, in order to establish a common basis and provide motivation and incentive for further development. The aim is to discuss and compare theoretical and experimental approaches pursued by research groups in different areas, and describe the state of the art of nonlinear energy transfer phenomena in an as broad as possible range of applications of current interest. This article is part of the theme issue ‘Nonlinear energy transfer in dynamical and acoustical systems’.

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Demonstration of accelerating and decelerating nonlinear impulse waves in functionally graded granular chains

Cited by 6 publications

References 33 publications

Nonlinear wave propagation in 3D-printed graded lattices of hollow elliptical cylinders

Nonlinear wave propagation in 3D-printed graded lattices of hollow elliptical cylinders

Review: Wave propagation in granular metamaterials

Introduction to a topical issue ‘nonlinear energy transfer in dynamical and acoustical Systems'

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