Periodic two-dimensional acoustic black hole (ABH) plates have attracted considerable attention due to their lightweight and high-efficiency vibration control capabilities. However, most existing studies focus on translationally periodic structures, whereas the vibration analysis of circular ABH plates with radially periodic and enlarged tapered-thickness regions remains intractable because of the quasi-periodic characteristics and complex wave interactions. In this study, a radially periodic annular ABH plate model is proposed, and its dynamic performance is systematically compared with that of a conventional single ABH circular plate. To evaluate the dynamic behavior of the proposed configuration, a transfer matrix method based on the partitioned-element concept is developed and validated through finite element simulations. In addition, the energy dissipation of flexural wave is characterized using a wave-based approach. Analyses of wave reflection coefficients and vibration responses demonstrate that the radially periodic ABH circular plate exhibits pronounced advantages in damping coupling and broadband vibration attenuation, which can be attributed to a significant increase in localized ABH modes and the enhanced global-damping modes. The results show that both the mean velocity of the uniform portion and the vibration transmission loss are reduced by >20 dB compared with the conventional circular ABH plate over the frequency range of 10–6000 Hz. Dynamic experiments further confirm the accuracy of the theoretical predictions, as well as the effectiveness of the proposed structure in vibration attenuation and isolation. Moreover, comprehensive parametric analyses reveal that reducing the residual thickness and increasing the power-law exponent can significantly enhance the vibration attenuation performance of radially periodic ABH structures. This work provides new insights into broadband vibration absorption and isolation in circular plate structures.
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