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Acoustic metamaterials: the fascinanting dynamics of nonlinear resonators P. B. Silva, V. G. Kouznetsova and M. G. D. Geers Eindhoven University of Technology, Department of Mechanical Engineering, Mechanics of Materials / Faculty of Mechanical Engineering Introduction Metamaterials are engineered structures in which the design of a meta-atom with specific dynamics gives rise to on-demand and unusual behavior of the artificial structure, making it possible to manipulate waves. Most of the works up to now in elastodynamics, however, have been limited to linear material models [1]. This work intends to show that fascinating and unrevealed phenomena is yet to be discovered when nonlinearities proper of many real materials are taken into account. Model Results Reference [1] J. Christensen, M. Kadic, M. Wegener and O. Kraft, Vibrant times for mechanical metamaterials, MRS Commun 5(3), 2015. Methodology Approximating techniques were used to describe the oscillatory motion of the nonlinear periodic system: Direct numerical simulations were also performed in order to verify the approximating solutions. Conclusions and Future Prospects It was shown that cubic metamaterials exhibit multistability, tunability and nonreciprocity. Such features make them promising for applications in sensor technology, damage detection, imaging, energy harvesting, among others. In the future, the effect of other nonlinear material models in the dynamic behavior of metamaterials will be investigated. Nonlinear material Heavy core M m unit cell Continuous system Discrete chain m M unit cell Nonlinear spring Multiple Waves Band gap position Input Amplitude Nonreciprocity Tunability Multistability Harmonic Balance Multiple-Scale DYNAMIC FEATURES Nonlinear Linear Right-Going waves Left-Going waves
Transcript

Acoustic metamaterials: the fascinanting

dynamics of nonlinear resonators

P. B. Silva, V. G. Kouznetsova and M. G. D. Geers

Eindhoven University of Technology, Department of Mechanical Engineering, Mechanics of Materials

/ Faculty of Mechanical Engineering

IntroductionMetamaterials are engineered structures in which the

design of a meta-atom with specific dynamics gives rise to

on-demand and unusual behavior of the artificial structure,

making it possible to manipulate waves. Most of the

works up to now in elastodynamics, however, have been

limited to linear material models [1]. This work intends to

show that fascinating and unrevealed phenomena is yet

to be discovered when nonlinearities proper of many real

materials are taken into account.

Model

Results

Reference[1] J. Christensen, M. Kadic, M. Wegener and O. Kraft, Vibrant times for

mechanical metamaterials, MRS Commun 5(3), 2015.

MethodologyApproximating techniques were used to describe the

oscillatory motion of the nonlinear periodic system:

Direct numerical simulations were also performed in

order to verify the approximating solutions.

Conclusions and Future ProspectsIt was shown that cubic metamaterials exhibit

multistability, tunability and nonreciprocity. Such

features make them promising for applications in sensor

technology, damage detection, imaging, energy

harvesting, among others. In the future, the effect of

other nonlinear material models in the dynamic behavior of

metamaterials will be investigated.

Nonlinear material

Heavy core

……

Mm

unit cell

Continuous system Discrete chain

m

M

unit cell

Nonlinear spring

Multiple Waves

Band gap

position

Input Amplitude

Nonreciprocity

Tunability

Multistability

Harmonic Balance Multiple-Scale

DYNAMIC FEATURES

……NonlinearLinear

Right-Going

wavesLeft-Going

waves

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