One-dimensional modulation instability of wave packets in media with resonant dispersion

Rybak, S. A.; Zozulya, O. M.

doi:10.1016/s0378-4371(97)00071-x

Cited by 5 publications

(2 citation statements)

References 2 publications

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“…The heterogeneous viscoelastic material, such as the rubber embedded with the tandem resonant voids, could be simplified into several homogeneous media associated with various effective impedance 𝑍 𝑒 = 𝜌 𝑒 𝑐 𝑒 [22], as shown in Figure 1c. −1 [25,26]. 𝜇 refers to the value of shear modulus.…”

Section: Model Of the Compact Anechoic Coatingmentioning

confidence: 99%

Investigation on Low-Frequency and Broadband Sound Absorption of the Compact Anechoic Coating Considering Hydrostatic Pressure

Fang,

Pan,

Zhang

et al. 2024

JMSE

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The anechoic coating capable of absorbing sound energy in low frequencies within broadband is essential to conceal underwater vehicles. However, the geometric deformation and modification of mechanical parameters under hydrostatic pressure affect the prediction of absorption performance in deep water environments. An anechoic coating embedded with tandem resonant voids is proposed in this work to achieve quasi-perfect low-frequency and broadband absorption. The analytical method based on the effective medium approach and numerical simulation are performed to estimate the effects of hydrostatic pressure on sound absorption. When additionally considering the dynamic mechanical parameters of the compressed viscoelastic medium, the original absorption humps in low frequencies are inclined to higher band, accompanied by the expanded absorption bandwidth. Then, the tandem coating specimen is measured in a water-filled impedance tube. The experimental spectra are consistent with the analytical and numerical results under various hydrostatic pressures, demonstrating the efficient absorption (α > 0.7) in broadband low frequencies via ordinary pressure. At the same time, the absorption spectrum under higher hydrostatic pressures is also verified in the tube. Consequently, this work paves the way for a broadband low-frequency underwater absorber design and provides an efficient method to characterize the low-frequency and broadband absorption from the coupled resonant coatings in deep water environments.

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Section: Model Of the Compact Anechoic Coatingmentioning

confidence: 99%

Investigation on Low-Frequency and Broadband Sound Absorption of the Compact Anechoic Coating Considering Hydrostatic Pressure

Fang,

Pan,

Zhang

et al. 2024

JMSE

View full text Add to dashboard Cite

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“…The MI can explain the resonance generation which occurs in the nonlinear system that comes from self-interacting waves [7]. In the literature, MI is also known as Benjamin and Feir instability [8].…”

Section: Introductionmentioning

confidence: 99%

Penrose instabilities and the emergence of rogue waves in Sasa–Satsuma equation

2021

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In this paper, we calculate the region of emergence of rogue waves in the Sasa-Satsuma equation by performing Penrose stability analysis. We consider Wigner-transformed Sasa-Satsuma equation and separate out unstable solutions, namely Penrose instability modes. We superpose these modes in a small region. With the help of marginal property of the Wigner transform, we identify the region in which rogue wave solution can emerge in the Sasa-Satsuma equation and calculate the amount of spatial localization. We also formulate a condition for the emergence of rogue wave solution in the Sasa-Satsuma equation.

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Underwater metagratings for sub-kilohertz low frequency and broadband sound absorption

Fang

Yin

et al. 2023

International Journal of Mechanical Sciences

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One-dimensional modulation instability of wave packets in media with resonant dispersion

Cited by 5 publications

References 2 publications

Investigation on Low-Frequency and Broadband Sound Absorption of the Compact Anechoic Coating Considering Hydrostatic Pressure

Investigation on Low-Frequency and Broadband Sound Absorption of the Compact Anechoic Coating Considering Hydrostatic Pressure

Penrose instabilities and the emergence of rogue waves in Sasa–Satsuma equation

Underwater metagratings for sub-kilohertz low frequency and broadband sound absorption

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