Metadamping: An emergent phenomenon in dissipative metamaterials

Hussein, Mahmoud I.; Frazier, Michael J.

doi:10.1016/j.jsv.2013.04.041

Cited by 215 publications

(115 citation statements)

References 18 publications

(20 reference statements)

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“…For example, viscous or viscoelastic metamaterials possessing internal resonating bodies have been shown to demonstrate enhanced dissipation under certain conditions (i.e., beyond what may be deduced from the rule of mixtures according to Voigt or Reuss rules). [4][5][6] Increased damping capacity based on observed rises in the wavenumber-dependent damping ratios has also been demonstrated using negative-stiffness elements. 7 The ability to enhance dissipation without negatively impacting the overall stiffness (and the load-bearing capacity in general) is beneficial in many applications, particularly when excessive vibrations affect a structure's performance or structural integrity.…”

Section: Introductionmentioning

confidence: 90%

Anisotropic dissipation in lattice metamaterials

et al. 2016

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Plane wave propagation in an elastic lattice material follows regular patterns as dictated by the nature of the lattice symmetry and the mechanical configuration of the unit cell. A unique feature pertains to the loss of elastodynamic isotropy at frequencies where the wavelength is on the order of the lattice spacing or shorter. Anisotropy may also be realized at lower frequencies with the inclusion of local resonators, especially when designed to exhibit directionally non-uniform connectivity and/or cross-sectional geometry. In this paper, we consider free and driven waves within a plate-like lattice−with and without local resonators−and examine the effects of damping on the isofrequency dispersion curves. We also examine, for free waves, the effects of damping on the frequency-dependent anisotropy of dissipation. Furthermore, we investigate the possibility of engineering the dissipation anisotropy by tuning the directional properties of the prescribed damping. The results demonstrate that uniformly applied damping tends to reduce the intensity of anisotropy in the isofrequency dispersion curves. On the other hand, lattice crystals and metamaterials are shown to provide an excellent platform for direction-dependent dissipation engineering which may be realized by simple changes in the spatial distribution of the damping elements.

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Section: Introductionmentioning

confidence: 90%

Anisotropic dissipation in lattice metamaterials

et al. 2016

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“…In this work, a the mass-in-mass unit cell is implemented, though other cells have also been considered in exiting literature [8,9]. A distinction is made between the 1D and 2D setup, to firstly compare the results to [9], where a 1D analysis was performed, and to subsequently extend the model to the 2D case. The unit cell configuration is demonstrated in Fig.…”

Section: Methodsmentioning

confidence: 99%

Design of Metamaterials for Seismic Isolation

Wagner

Dertimanis

Chatzi

et al. 2016

Conference Proceedings of the Society for Experimental Mechanics Series

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This study assesses the implementation of locally resonant metamaterials in seismic isolation applications, by investigating their potential feasibility in low frequency bands. To this end, via adoption of both Blochs Theorem and classical vibration analysis, both one-dimensional and two-dimensional mass-in-mass lattices are analyzed in overlapping subbands and corresponding relations for the structural parameters are derived. The lattices are first examined in an infinite setup, for determining the arrangement of the resulting band gaps. Subsequently finite lattice configurations are investigated in the frequency and time domain. In this work, previous results are corroborated and additionally expanded to the 2D case. The parametric study that was carried out reveals interesting properties, particularly for low external-to-internal stiffness ratios of the unit cells comprising the lattices. Further investigation is required for confirming the feasibility of application of the resulting setups in full scale.

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“…Contrary to the traditional barriers, which are empty or filled with slurry and simply reflect the seismic energy, these piles will feature an internal configuration, which ensures energy dissipation. As discussed in the introductory section, and following the metamaterials concept, an intuitive realisation of such a design may be delivered via a simple 'mass-in-mass' lumped parameter system, though alternative cell configurations have also been proposed (Jensen, 2003;Hussein and Frazier, 2013). Following this approach, Figure 1 illustrates the basic structural unit considered here, in both the one-dimensional (1D) and 2D case.…”

Section: The Unit Cell Configurationmentioning

confidence: 99%

“…Bloch's theorem, as described in Huang et al (2009), andFrazier (2013) for consideration of damping, may be adopted to solve equation (1). The theorem states that waves travelling in an infinite periodic medium will be of the form (Hussein and Frazier, 2013 …”

Section: The Unit Cell Configurationmentioning

confidence: 99%

On the feasibility of structural metamaterials for seismic-induced vibration mitigation

Wagner

Dertimanis

Antoniadis

et al. 2016

IJEIE

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This paper summarizes recent efforts toward development of locally resonant metamaterial structures for seismic isolation purposes. The metamaterial structure forms a blind zone in the frequency domain, inhibiting the propagation of waves characterised by frequencies lying within this range. The feasibility of fashioning such systems in the [0.5, 5] Hz frequency band, linked to earthquake induced response, is here explored. An analytical and numerical investigation is undertaken relying on Bloch's theory and classical vibration analysis. The analysed case-studies pertain to both one-dimensional and two-dimensional mass-in-mass lattice systems investigated for overlapping sub-bands. On the basis of the offered analysis, a basic unit cell design is proposed, and a parametric study is carried out revealing the critical influence of the external-to-internal stiffness ratios adopted for the unit cell design. A further discussion is offered with respect to limitations and extensions of the proposed designs.Keywords: seismic isolation; metamaterials; metastructures; Bloch's theory; 1D and 2D vibration response analysis; periodic lattice; mass-in-mass unit cells; band-gaps. On the feasibility of structural metamaterials 21Reference to this paper should be made as follows: Wagner, P.R., Dertimanis, V.K., Antoniadis, I.A. and Chatzi, E.N. (2016)

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Metadamping: An emergent phenomenon in dissipative metamaterials

Cited by 215 publications

References 18 publications

Anisotropic dissipation in lattice metamaterials

Anisotropic dissipation in lattice metamaterials

Design of Metamaterials for Seismic Isolation

On the feasibility of structural metamaterials for seismic-induced vibration mitigation

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