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Acoustic black holes (ABHs) control vibration energy through geometric design. ABH-based non-invasive dynamic vibration absorbers (DVAs) dampen vibrations without compromising structural strength. However, conventional power-law thickness ABHs suffer from end deformation and truncation due to manufacturing constraints and stress relaxation. This study proposes a porous ABH-DVA design that avoids these variable-thickness issues by modulating material properties (density, stiffness) via material gradient porosity. The porous ABH-DVA’s vibration-absorbing effect as an attached DVA is examined on a primary cantilever beam structure. The reduced multibody systems transfer matrix method (RMSTMM) computes the system’s steady-state responses and characteristic frequencies. Comparisons with finite element method (FEM) results confirm RMSTMM’s computational efficiency. This work presents new opportunities for engineering applications of ABH technology.

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Vibration Reduction Using Porous Acoustic Black Holes Based on Reduced Multibody System Transfer Matrix Method

  • 会议论文

  • 发表日期：

    2026年

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  • Xiaoyu Wang,
  • Yanni Zhang,
  • Xiaoting Rui,
  • Fufeng Yang,
  • Guoping Wang

摘要

Acoustic black holes (ABHs) control vibration energy through geometric design. ABH-based non-invasive dynamic vibration absorbers (DVAs) dampen vibrations without compromising structural strength. However, conventional power-law thickness ABHs suffer from end deformation and truncation due to manufacturing constraints and stress relaxation. This study proposes a porous ABH-DVA design that avoids these variable-thickness issues by modulating material properties (density, stiffness) via material gradient porosity. The porous ABH-DVA’s vibration-absorbing effect as an attached DVA is examined on a primary cantilever beam structure. The reduced multibody systems transfer matrix method (RMSTMM) computes the system’s steady-state responses and characteristic frequencies. Comparisons with finite element method (FEM) results confirm RMSTMM’s computational efficiency. This work presents new opportunities for engineering applications of ABH technology.