The acoustic black hole (ABH) effect has shown great application potential in vibration reduction, energy harvesting, etc. However, it may face the problem of structural strength due to the small thickness in local area. In this study, a frequency method based on Gaussian expansion has been proposed for fatigue analysis of ABH structure. Fatigue damage is directly estimated in the frequency domain through the properties of the modal model of ABH structures. Numerical results show that the proposed method can well deal with both 1D and 2D ABH structures with a good accuracy.

中文翻译：

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一种声学黑洞结构振动疲劳分析的频域方法

声学黑洞（ABH）效应在减振、能量收集等方面显示出巨大的应用潜力，但由于局部厚度小，可能面临结构强度问题。在这项研究中，提出了一种基于高斯展开的频率方法用于 ABH 结构的疲劳分析。通过 ABH 结构的模态模型的属性直接在频域中估计疲劳损伤。数值结果表明，所提出的方法可以很好地处理一维和二维 ABH 结构，具有良好的精度。