Elastic and acoustic wave band structure

Sigalas, M. M.; Economou, E. N.

doi:10.1016/0022-460x(92)90059-7

Cited by 1,083 publications

(483 citation statements)

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“…Like their optical counterparts, photonic crystals, these crystals enable the configuration of their working frequency by fine-tuning the geometry and dimensions of the structure. Some authors have even worked in frequency control strategies by means of using materials with very interesting magnetoelastic and electrorheological properties [1][2][3][4].…”

Section: Introductionmentioning

confidence: 99%

Fully-disposable multilayered phononic crystal liquid sensor with symmetry reduction and a resonant cavity

et al. 2017

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. Fullydisposable multilayered phononic crystal liquid sensor with symmetry reduction and a resonant cavity. Measurement: Journal of the International Measurement Confederation, 102, pp. 20-25. doi: 10.1016Confederation, 102, pp. 20-25. doi: 10. /j.measurement.2017 This is the accepted version of the paper.This version of the publication may differ from the final published version. Permanent b s t r a c tPhononic crystals are artificial structures with unique capabilities to control the transmission of acoustic waves. These novel periodic composite structures bring new possibilities for developing a fundamentally new sensor principle that combines features of both ultrasonic and resonant sensors. This paper reports the design, fabrication and evaluation of a phononic crystal sensor for biomedical applications, especially for its implementation in point of care testing technologies. The key feature of the sensor system is a fully-disposable multi-layered phononic crystal liquid sensor element with symmetry reduction and a resonant cavity. The phononic crystal structure consists of eleven layers with high acoustic impedance mismatch. A defect mode was utilized in order to generate a well-defined transmission peak inside the bandgap that can be used as a measure. The design of the structures has been optimized with simulations using a transmission line model. Experimental realizations were performed to evaluate the frequency response of the designed sensor using different liquid analytes. The frequency of the characteristic transmission peaks showed to be dependent on the properties of the analytes used in the experiments. Multi-layered phononic crystal sensors can be used in applications, like point of care testing, where the on-line measurement of small liquid samples is required.

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Section: Introductionmentioning

confidence: 99%

Fully-disposable multilayered phononic crystal liquid sensor with symmetry reduction and a resonant cavity

et al. 2017

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“…[1][2][3] In recent years, some effort has been taken to expand the concept of phononic effects beyond simple Bragg interference, [3][4][5] including the clever design of hybrid structures consisting of materials of very different elastic properties.…”

Section: Introductionmentioning

confidence: 99%

Soft silicone rubber in phononic structures: Correct elastic moduli

et al. 2013

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We report on a combination of experiments to determine the elastic moduli of a soft poly (dimethylsiloxane) rubber that was utilized in a smart experiment on resonant phononic modes [Liu et al., Science 289, 1734(2000] and whose reported moduli became widely used as a model system in theoretical calculations of phononic materials. We found that the most peculiar hallmark of these values, an extremely low longitudinal sound velocity, is not supported by our experiments. Anyhow, performing theoretical band structure calculations, we can reproduce the surprising experimental findings of Liu et al. even utilizing the correct mechanical parameters. Thus, the physical conclusions derived in the theoretical works do not require the use of an extremely low longitudinal velocity, but can be reproduced assuming only a low value of the shear modulus, in agreement with our experiments.

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“…The beams are made of a linearly elastic material with Young's modulus E and mass density γ , and have variable, but geometrically similar (e.g., circular) cross-sections with the relation 2 …”

Section: Formulation For Maximizing Gaps Between Adjacent Eigenfrequementioning

confidence: 99%

“…In this stop band, free wave propagation is prohibited. Due to two degrees of freedom at each end node of the unit cell, there are four eigenvalues 1 λ , 2 λ , 3 λ , and 4 λ of the transfer matrix.…”

Section: Free Wave Propagation and Forced Vibration In The Optimized mentioning

confidence: 99%

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On Optimum Design and Periodicity of Band-Gap Structures

Olhoff¹,

Niu²,

Cheng³

2014

Proceedings of the 4th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

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Abstract. A band-gap structure usually consists of a periodic distribution of elastic materials or segments, where the propagation of waves is impeded or This paper extends earlier optimum shape design results for transversely vibrating Bernoulli-Euler beams by determining new optimum band-gap beam structures for (i) different combinations of classical boundary conditions, (ii) much larger values of the orders n (n>1) and n-1 of adjacent upper and lower eigenfrequencies of maximized band-gaps, and (iii) different values of a minimum beam cross-sectional area constraint. In the present paper, instead of maximizing band-gaps between frequencies of propagating waves or forced vibrations excited by external time-harmonic loads, the closely relatedproblem of maximizing the gap between two adjacent eigenfrequencies ω n and ω n-1 of any given consecutive orders n (n>1) and n-1, is considered. This is justified by the fact that external time-harmonic dynamic loads cannot excite resonance with high vibration levels of standing waves, if the eigenfrequencies of the structure are moved outside the range of the external excitation frequencies by the optimization.Finally, the present study shows that if an infinite beam structure is constructed by repeated translation of an inner beam segment obtained by the aforementioned frequency gap optimization, then a band-gap of traveling waves in this infinite beam is found to correlate almost perfectly with the maximized frequency gap in the finite structure.

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Elastic and acoustic wave band structure

Cited by 1,083 publications

References 20 publications

Fully-disposable multilayered phononic crystal liquid sensor with symmetry reduction and a resonant cavity

Fully-disposable multilayered phononic crystal liquid sensor with symmetry reduction and a resonant cavity

Soft silicone rubber in phononic structures: Correct elastic moduli

On Optimum Design and Periodicity of Band-Gap Structures

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