A frequency domain method for vibration fatigue analysis of acoustic black hole structure

The acoustic black hole (ABH) effect has shown great application potential in vibration reduction, energy har-vesting, 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.