The acoustic black hole (ABH) can alter the velocity of bending waves and concentrate vibration energy with the change of thickness. However, the operational frequency range of acoustic black holes is predominantly concentrated within the mid-to-high frequency spectrum, while their effectiveness is notably constrained in the low-frequency range. This paper focuses on the low-frequency vibration characteristics of the acoustic black hole damping oscillator (ABH-DO) structure and the corresponding structural parameter influence analysis is conducted. Subsequently, the vibration property of ABH-DO in multiple array configurations are analyzed and the ability of absorbing the vibration energy is experimentally verified. Finally, orthogonal experiments are performed on ABH-DO structures in multiple array configurations. The results reveal that both single and multiple ABH-DO structures demonstrate effective low-frequency vibration reduction, with varying degrees of peak value attenuation at multiple locations. Among the parameters of ABH-DO, the oscillator mass has the most pronounced effect on vibration peaks. The vibration characteristics of the ABH-DO structure can be optimized by adjusting the oscillator mass. Optimal parameters are determined within a given range through orthogonal experiments. The vibration characteristics of the ABH-DO structure at the optimal factor level are enhanced to varying extents when compared with other factor level combinations.