Avibration equation of acoustic black hole(ABH)beam with cracks was established based on the hypothetical mode method.An equivalent bending stiffness model involving the information of crack location and depth was employed to describe the influence of a crack on the vibration mode.The fatigue crack propagation was simulated using the Pair's formula.A flowchart of vibration fatigue life prediction was proposed for the ABH beam.The results of MATLAB numerical simulations and COMSOL finite element analysis showed that the numerical model using the equivalent bending stiffness model was in good agreement with the finite element simulation results.The crack growth analysis showed that there was no intrinsic relationship between the order of the ABH beam eigen frequencies and the fatigue life.The vibration fatigue simulations showed that the characteristic parameters of ABH structure affected the fatigue life distribution.
acoustic black hole beamfatiguecrack propagationvibration analysislife prediction
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