Roca et al 2020b - Revision history

Cinmemj: Cinmemj moved page Draft Samper 690379007 to Roca et al 2020b

2020-10-28T13:07:42Z

Cinmemj moved page Draft Samper 690379007 to Roca et al 2020b

Cinmemj at 13:04, 28 October 2020

2020-10-28T13:04:37Z

Cinmemj at 12:59, 28 October 2020

2020-10-28T12:59:59Z

Cinmemj at 12:58, 28 October 2020

2020-10-28T12:58:38Z

Cinmemj at 12:56, 28 October 2020

2020-10-28T12:56:11Z

Cinmemj at 12:54, 28 October 2020

2020-10-28T12:54:13Z

Cinmemj at 12:52, 28 October 2020

2020-10-28T12:52:50Z

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Cinmemj: Created page with "

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 <div class="center" style="width: auto; margin-left: auto; margin-right: auto;">
-[[Image:Draft_Samper_690379007-image16.png|600px]] </div>
+[[File:Draft_Samper_690379007_3146_Fig 16.png]]</div>
 <div class="center" style="font-size: 75%;">'''Fig. 16'''. Experiment setup for normal-incidence transmission loss measurements. (a) Schematic representation showcasing the four microphone positions and holding of the sample panel. (b) Actual impedance tube employed in the experiments. Figure from <span id='cite-_Ref37801261'></span>[[#_Ref37801261|Article III]].</div>
 ====3.3.2  Impedance tube measurements====

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 [[Image:Draft_Samper_690379007-image9.png|600px]] </div>
-<div class="center" style="font-size: 75%;">'''Fig. 9'''. LRAM-based panel problem setting for computing its transmission loss. The macroscopic domain consists of an infinitely extended panel with a certain thickness. Its microscale is modelled as a periodically repeated unit cell with a given configuration that allows it to produce local resonance effects. In order to compute the transmission loss, acoustic plane waves propagating in the direction normal to the panels’ surfaces are considered. On the front side, there are two waves travelling in opposite directions corresponding to the incident and reflected waves, while on the rear side, there is only the transmitted wave propagating away from the panel. The ratios between these waves’ amplitudes define the reflection and transmission coefficients, <math display="inline">R</math> and <math display="inline">T</math>, respectively.
+<div class="center" style="font-size: 75%;">'''Fig. 9'''. LRAM-based panel problem setting for computing its transmission loss. The macroscopic domain consists of an infinitely extended panel with a certain thickness. Its microscale is modelled as a periodically repeated unit cell with a given configuration that allows it to produce local resonance effects. In order to compute the transmission loss, acoustic plane waves propagating in the direction normal to the panels’ surfaces are considered. On the front side, there are two waves travelling in opposite directions corresponding to the incident and reflected waves, while on the rear side, there is only the transmitted wave propagating away from the panel. The ratios between these waves’ amplitudes define the reflection and transmission coefficients, <math display="inline">R</math> and <math display="inline">T</math>, respectively.</div>
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 <div class="center" style="font-size: 75%;">'''Fig. 10'''. Validation of the proposed homogenization scheme. (a) The transmission loss of a panel has been computed through a direct numerical simulation and the results are compared with those obtained by the proposed homogenization framework. (b) Internal resonance modes for the unit cell design considered. Notice that only the first 3 modes lie in the audible frequency range, of which only 2 have non-negligible components in the coupling vector and only the first is responsible for causing local resonance effects for waves propagating in the longitudinal direction. Results adapted from <span id='cite-_Ref37801010'></span>[[#_Ref37801010|Article I]].</div>
 ===3.2  Computational design of acoustic metamaterials===

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-[[Image:Draft_Samper_690379007-image5.png|600px]] </div>
+[[File:Draft_Samper_690379007_9641_Fig 5.png]]
 <div class="center" style="font-size: 75%;">'''Fig. 5'''. Multiscale framework setting. The macroscale domain corresponds to some part or structure with a certain internal configuration/topology that is represented by the microscale.</div>

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-[[Image:Draft_Samper_690379007-image4.png|600px]] </div>
+[[File:Draft_Samper_690379007_1269_Fig 4.png]]</div>
 <div class="center" style="font-size: 75%;">'''Fig. 4'''. Examples of different acoustic metamaterial designs. (a) Composite-based concept based on combining materials with different properties [14]. (b) Hollow cavities acting as Helmholtz resonators [83]. (c) Resonating pillars on a plate acting as an acoustic metamaterial [89]. (d) 3D-printed acoustic metamaterial panel [99].</div>

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 <div class="center" style="width: auto; margin-left: auto; margin-right: auto;">
- [[Image:Draft_Samper_690379007-image2.png|600px]] </div>
+[[Image:Draft_Samper_690379007-image2.png|600px]] </div>
-<div class="center" style="font-size: 75%;"><span id='_Toc38456971'></span>'''Fig. 2'''. Concept of phononic crystals (PCs) and acoustic metamaterials (AMs). (a) Rheological models of mass-and-mass (PCs) and mass-in-mass (AMs) unit cells. (b) Characteristic dispersion curves showing the bandgap formation nature of each case. The frequenc<div class="center" style="font-size: 75%;">y <math display="inline">\omega</math>  is normalized with a reference frequency <math display="inline">{\omega }_{0}=</math><math>2\pi \frac{{c}_{0}}{a}</math>, with <math display="inline">{c}_{0}</math> being the static wave propagation speed. For comparison, the parameters in both systems are chosen so that they have the same static wave propagation speed, <math display="inline">{c}_{0}</math>. Notice how the frequency bandgaps are more narrowband in the AM case than in the PC case, but with the latter occurring at higher frequency ranges. These differences are more apparent the higher the contrast between <math display="inline">{k}_{1}/{k}_{2}</math> and <math display="inline">{m}_{2}/{m}_{1}</math> becomes.</div>
+<div class="center" style="font-size: 75%;">'''Fig. 2'''. Concept of phononic crystals (PCs) and acoustic metamaterials (AMs). (a) Rheological models of mass-and-mass (PCs) and mass-in-mass (AMs) unit cells. (b) Characteristic dispersion curves showing the bandgap formation nature of each case. The frequency <math display="inline">\omega</math>  is normalized with a reference frequency <math display="inline">{\omega }_{0}=</math><math>2\pi \frac{{c}_{0}}{a}</math>, with <math display="inline">{c}_{0}</math> being the static wave propagation speed. For comparison, the parameters in both systems are chosen so that they have the same static wave propagation speed, <math display="inline">{c}_{0}</math>. Notice how the frequency bandgaps are more narrowband in the AM case than in the PC case, but with the latter occurring at higher frequency ranges. These differences are more apparent the higher the contrast between <math display="inline">{k}_{1}/{k}_{2}</math> and <math display="inline">{m}_{2}/{m}_{1}</math> becomes.</div>

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