A semi-analytical method for the dispersion analysis of orthotropic composite plates with periodically attached acoustic black hole resonators

Ma, Yongbin; Deng, Zichen

doi:10.1016/j.apm.2022.06.013

Cited by 17 publications

(2 citation statements)

References 59 publications

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“…As an add-on device, the ABH beam is rigidly connected to the primary structure to efficiently reduce harmful vibration in a wide frequency range (Zhou and Cheng, 2018;Kim and Lee, 2020). Design variations based on the ABH dynamic vibration absorber are developed, such as the swirl-shaped ABH in (Zhou and Cheng, 2022), V-folded ABH beams (Gao et al, 2019), periodically arranged ABH resonators in (Ma and Deng, 2022;Deng et al, 2023aDeng et al, , 2023b and the two-dimensional ABH plate in (Ji et al, 2021;Deng et al, 2022aDeng et al, , 2022bDeng et al, , 2023d. Additionally, the nonlocality is introduced in the ABH absorbers to achieve a broadband and low-frequency passive vibration attenuation system (Nair et al, 2022).…”

Section: Introductionmentioning

confidence: 99%

The exact spectral element modeling and vibration analysis of the acoustic black hole double-beam system

Sheng

Ding

2023

Journal of Vibration and Control

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In this paper, we present a study of vibration characteristics of the double-beam structures combined with the concept of the acoustic black hole (ABH), which is an effective technique for vibration and noise control. In the proposed double-beam structure, the ABH beam as the vibration damper is attached to the primary uniform beam by a range of translational and rotational springs. We formulate the closed-form spectral element matrix of the double-beam structure and calculate the natural frequencies and mode shapes of the system. The results demonstrate the ABH effect of increasing the modal damping ratios. We also study the power flow and mechanical intensity of the system to offer physical insight into the vibration suppression mechanism of the ABH. A detailed parametric analysis of both translational and rotational springs is carried out. The investigation contributes to the exact dynamic modelling and analysis of the double-beam system containing ABH elements. Furthermore, the proposed ABH double-beam structure shows great potential for vibration control and energy harvesting.

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Section: Introductionmentioning

confidence: 99%

The exact spectral element modeling and vibration analysis of the acoustic black hole double-beam system

Sheng

Ding

2023

Journal of Vibration and Control

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“…In order to produce more significant band gap characteristics compared with one resonator, structures with embed-ded multi-resonators was presented which can lead to multiple resonant-type bandgaps with remarkable wave attenuation capabilities. [27][28][29] As an alternative, a thin plate structure periodically attached with ABH beam resonators are proposed by Ma, 30 and multiple band gaps are obtained due to the multimode characteristic of ABHs. An ABH is a thin structure with a thickness that tapers according to a power law with an exponent greater than or equal to two.…”

Section: Introductionmentioning

confidence: 99%

Semi-Analytical Solutions for Wave Propagation of Periodically Repetitive Schwarz Primitive Triply Periodic Minimal Surface Based Structure Embedded With Acoustic Black Hole Resonators

Ma,

Cheng

2023

The International Journal of Acoustics and Vibration

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The Schwarz Primitive triply periodic minimal surface (P-TPMS) lattice structure is attracting more attention due to its superior mechanical properties and unique topological configuration. In this study, a new periodic configuration is proposed in which the unit cell is formed by embedding the acoustic black hole (ABH) component in the primary P-TPMS component. A semi-analytical method is developed to calculate the wave propagation properties of the proposed structure. The dynamical equilibriums of the primary P-TPMS and ABH components are described by the finite element method and the WKB method respectively. By considering the compatibility at the connections between the components and using the equivalent dynamic stiffness technique, dispersion analysis can be implemented in the framework of the wave and finite element (WFE) method. Various numerical examples with different number, type and connection position of the resonators are investigated. By comparing the calculation results from the present semi-analytical method with that from the finite element method, the effectiveness of the proposed method is validated. The influences of the number, type, and connection position of the resonators on the bandgap properties are investigated.

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Semi-analytical solutions for the forced vibration of plate structures terminated by multiple acoustic black hole beams

Fan

Deng

2023

J Braz. Soc. Mech. Sci. Eng.

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A semi-analytical method for the dispersion analysis of orthotropic composite plates with periodically attached acoustic black hole resonators

Cited by 17 publications

References 59 publications

The exact spectral element modeling and vibration analysis of the acoustic black hole double-beam system

The exact spectral element modeling and vibration analysis of the acoustic black hole double-beam system

Semi-Analytical Solutions for Wave Propagation of Periodically Repetitive Schwarz Primitive Triply Periodic Minimal Surface Based Structure Embedded With Acoustic Black Hole Resonators

Semi-analytical solutions for the forced vibration of plate structures terminated by multiple acoustic black hole beams

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