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<p>With the widespread application of porous materials in engineering structures, porous plates with cutouts have attracted considerable attention due to their advantages such as lightweight design and multifunctional integration. Although acoustic black hole (ABH) structures have been demonstrated to possess excellent wave energy concentration and dissipation capabilities, their vibration responses and energy flow characteristics after the introduction of a cutout and porosity distributions remain unclear, necessitating systematic investigation. To this end, this study, based on the isogeometric method and leveraging its advantages in complex geometric modeling, a dynamic model of the acoustic black hole porous plate with a cutout (ABH-PPC) is constructed, and the governing vibration equations are established according to the first-order shear deformation theory. The effects of three types of porosity distributions, namely uniform, symmetric, and asymmetric, on the structural vibration response, time-averaged power flow, kinetic energy, and power flow density vectors are systematically investigated. The proposed method is rigorously validated through finite element simulations and experimental tests. The results show that a smooth circular cutout, a low-porosity coefficient, and a uniform porosity distribution contribute to excellent vibration suppression over a wide frequency range. Among the three porosity types, the uniform distribution combined with a damping layer yields the highest modal loss factor. The presence of the cutout alters the energy transmission path, with part of the energy radiating outward and the remainder continuing to propagate within the plate after boundary reflection. The shear component of the power flow density vector dominates the total vector field, and the application of the damping layer facilitates partial energy dissipation and regulation. This study provides a theoretical basis for the design of acoustic black hole structures with a cutout and porosity distributions, offering significant reference value for achieving broadband and efficient vibration control.</p>

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Dynamic characteristics and energy flow in porous plates with cutouts incorporating acoustic black holes

  • 期刊论文

  • 发表日期：

    2026年5月31日

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  • Yujian Zhu,
  • Puyu Jiang,
  • Yuhao Zhao,
  • Dabin Zhang,
  • Mingfei Chen

摘要

With the widespread application of porous materials in engineering structures, porous plates with cutouts have attracted considerable attention due to their advantages such as lightweight design and multifunctional integration. Although acoustic black hole (ABH) structures have been demonstrated to possess excellent wave energy concentration and dissipation capabilities, their vibration responses and energy flow characteristics after the introduction of a cutout and porosity distributions remain unclear, necessitating systematic investigation. To this end, this study, based on the isogeometric method and leveraging its advantages in complex geometric modeling, a dynamic model of the acoustic black hole porous plate with a cutout (ABH-PPC) is constructed, and the governing vibration equations are established according to the first-order shear deformation theory. The effects of three types of porosity distributions, namely uniform, symmetric, and asymmetric, on the structural vibration response, time-averaged power flow, kinetic energy, and power flow density vectors are systematically investigated. The proposed method is rigorously validated through finite element simulations and experimental tests. The results show that a smooth circular cutout, a low-porosity coefficient, and a uniform porosity distribution contribute to excellent vibration suppression over a wide frequency range. Among the three porosity types, the uniform distribution combined with a damping layer yields the highest modal loss factor. The presence of the cutout alters the energy transmission path, with part of the energy radiating outward and the remainder continuing to propagate within the plate after boundary reflection. The shear component of the power flow density vector dominates the total vector field, and the application of the damping layer facilitates partial energy dissipation and regulation. This study provides a theoretical basis for the design of acoustic black hole structures with a cutout and porosity distributions, offering significant reference value for achieving broadband and efficient vibration control.