Semi-analytical modelling of a dish-shaped acoustic black hole coupling system based on the Gaussianexpansion method and research on the vibration damping mechanism of broadband tuning

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Journal of Vibration and Shock ›› 2024, Vol. 43 ›› Issue (2) : 291-298.

DING Yuan， SHI Kaiyao， ZHENG Ling

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Abstract

In recent years, embedded acoustic black holes (ABH) have shown extremely broad application prospects in the fields of structural vibration and noise reduction, sound wave control, and energy recovery with their excellent performance. However, the weakening of local structural strength will affect their engineering practicability. In this paper, a dish-shaped acoustic black hole (DABH) structure is proposed and attached to the main structure to achieve broadband vibration suppression of the main structure. Under the framework of Rayleigh-Ritz method, a gaussian function is selected as the basis function, the distribution of the gaussian function is determined according to the shape of the dish-shaped acoustic black hole, the singularization of the mass matrix and the stiffness matrix is avoided, and the semi-analytical analysis model of the coupling system is established. By comparing with the finite element modal analysis results, the correctness of the semi-analytical modeling method is verified. The influence of the structural parameters of the dish-shape acoustic black hole (DABH) and the connection position on the vibration response characteristics of the main structure are investigated. The ABH effect and the coupling effect with the main structure are analyzed, and the mechanism of broadband tuning and vibration are revealed. It demonstrates the application of ABH in broadband vibration control.

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acoustic black holes / vibration control / Gaussian expansion / dynamic vibration absorber effect

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DING Yuan， SHI Kaiyao， ZHENG Ling. Semi-analytical modelling of a dish-shaped acoustic black hole coupling system based on the Gaussianexpansion method and research on the vibration damping mechanism of broadband tuning[J]. Journal of Vibration and Shock, 2024, 43(2): 291-298

References

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