Gaussian expansion for the vibration analysis of plates with multiple acoustic black holes indentations

Deng, Jie; Zheng, Ling; Guasch, Oriol; Wu, Huijuan; Zeng, Pengyun; Zuo, Yifang

doi:10.1016/j.ymssp.2019.05.024

Cited by 94 publications

(44 citation statements)

References 32 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Its influence has been reported in several works, see e.g. [21,26,30,57] among others, and it is constructive to consider it in the present situation. To that purpose, let us introduce the thickness ratio, r t = t 0 /t u , and see what happens when we modify it.…”

Section: Passbands Stopbands and Transmissibility For The Abh Shellsmentioning

confidence: 67%

“…One should bear in mind that the performance of ABH shells at low and high frequencies are quite distinct. The former is not related to the ABH effect but to variations in mass and stiffness on the holding that occurs beyond the so-called diameter cut-on frequency f abh = πtu 4L abh E 3ρ (see e.g., [28,30,35,37]). Essentially, the latter establishes that the wavelength of a wave entering the ABH needs to be smaller than the ABH diameter (in this case the length L abh ) to perceive its effects.…”

Section: Passbands Stopbands and Transmissibility For The Abh Shellsmentioning

confidence: 99%

“…But, if ε is small enough, the wave will smoothly enter the ABH. In practice, the ABH effect becomes fully effective for frequencies f 3f ε (see e.g., [30]).…”

Section: Passbands Stopbands and Transmissibility For The Abh Shellsmentioning

confidence: 99%

“…When one considers beams and plates belonging to a more complex structure, however, it becomes unfeasible to tailor their sides to attain the ABH effect, because the connection with other structural elements usually takes place through boundaries. To avoid that problem in a plate, for instance, one can embed circular cuneate indentations in it whose thicknesses decrease towards their center following a power law profile [28][29][30][31][32][33]. Though less common, rectangular ABH indentations have been also analyzed in [34,35], as well as the performance of circular ABHs on elliptical instead of rectangular plates [36].…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Reduction of Bloch-Floquet bending waves via annular acoustic black holes in periodically supported cylindrical shell structures

et al. 2020

Self Cite

View full text Add to dashboard Cite

In recent years, acoustic black holes (ABHs) have revealed as a very effective method for the passive reduction of vibrations in flat plates and straight beams. Those essentially consist of circular indentations and/or side boundaries, whose thicknesses decrease to zero following a power-law profile. Nonetheless, many structures in the aeronautical and naval sectors, among others, involve cylindrical structures with periodic stiffeners or supports. Such periodic structures admit the propagation of Bloch-Floquet (BF) bending waves at some frequency passbands, which may result in strong vibration levels and noise radiation. In this work, we propose the design of annular ABHs to mitigate the problem. A wave finite element model is first used to determine the frequency passbands on an ideal, periodically simply supported cylindrical shell of infinite length, with embedded annular ABHs. Then, a long, but now finite simply supported cylindrical shell, is presented to show how the transmissibility between two sections strongly diminishes with the inclusion of ABHs. That confirms annular ABHs as a very effective means of reducing BF wave propagation. Unfortunately, embedding ABHs on the shell weakens its structural rigidity so a thorough analysis is made on the effects of inserting stiffeners in the longitudinal direction to partially remedy that inconvenient. Quite surprisingly, it is shown that the inclusion of stiffeners can even enhance the performance of the ABHs for some configurations. To finally foresee the potential of annular ABHs for practical applications, a finite element simulation is made on a slightly more realistic geometry, resembling a very simplified version of the hull of a submarine vehicle or a gas tank.

show abstract

Section: Passbands Stopbands and Transmissibility For The Abh Shellsmentioning

confidence: 67%

Section: Passbands Stopbands and Transmissibility For The Abh Shellsmentioning

confidence: 99%

“…But, if ε is small enough, the wave will smoothly enter the ABH. In practice, the ABH effect becomes fully effective for frequencies f 3f ε (see e.g., [30]).…”

Section: Passbands Stopbands and Transmissibility For The Abh Shellsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Reduction of Bloch-Floquet bending waves via annular acoustic black holes in periodically supported cylindrical shell structures

et al. 2020

Self Cite

View full text Add to dashboard Cite

show abstract

“…The latter include numerical simulations, as those in the finite element method (FEM) which is sometimes combined with the boundary element method (BEM) to predict noise radiation [17]. Another option is semi-analytical modeling like in the Rayleygh-Ritz method with trigonometric [26], wavelet [11,13] or Gaussian basis functions [10,27]. Implementing ABHs in realistic environments demands, however, one step forward and start analyzing the functioning of ABH beams and plates as parts of more complex built-up structures.…”

Section: Introductionmentioning

confidence: 99%

Transmission loss of plates with multiple embedded acoustic black holes using statistical modal energy distribution analysis

Deng

Guasch

Maxit³

et al. 2021

Mechanical Systems and Signal Processing

Self Cite

View full text Add to dashboard Cite

Acoustic black holes (ABHs) in beams and plates have been extensively studied as a passive method for vibration attenuation and noise reduction. However, most research to date has focused on analyzing the behavior of a single ABH structural element, using numerical or semi-analytical deterministic approaches. If ABHs are to be exploited for practical industrial applications, there is a need to characterize their performance in complex built-up structures and to describe them with statistical methods in the mid-high frequency range. This paper presents a first step towards this goal by employing statistical modal energy distribution analysis (SmEdA) to evaluate the transmission loss of ABH panels separating two air cavities. SmEdA splits vibroacoustic systems into subsystems and establishes power balance equations between the modes belonging to different subsystems. This avoids the energy equipartition assumption of traditional statistical energy analysis (SEA) and extends it to low modal overlap systems. In this work, the benefits of embedding ABHs on plates for noise reduction between cavities are predicted with SmEdA. The role played by the size, shape and number of ABH indentations on the plate are inspected, as well as the influence of other parameters like the truncation thickness, ABH order and damping. The effects of added mass and stiffness of the damping layer are investigated and it is observed that, with proper design, ABH plates can exhibit substantial transmission loss improvement in the vicinity of the critical frequency of uniform plates. Both resonant and non-resonant transmission are considered in the analysis.

show abstract

Random Vibration of One-Dimensional Acoustic Black Hole Beam

Dai

2022

Nonlinear Systems and Complexity

View full text Add to dashboard Cite

Gaussian expansion for the vibration analysis of plates with multiple acoustic black holes indentations

Cited by 94 publications

References 32 publications

Reduction of Bloch-Floquet bending waves via annular acoustic black holes in periodically supported cylindrical shell structures

Reduction of Bloch-Floquet bending waves via annular acoustic black holes in periodically supported cylindrical shell structures

Transmission loss of plates with multiple embedded acoustic black holes using statistical modal energy distribution analysis

Random Vibration of One-Dimensional Acoustic Black Hole Beam

Contact Info

Product

Resources

About