The acoustic black hole (ABH) effect finds extensive applications in structural vibration and noise control. However, practical implementations of ABH beams face challenges because their specialized geometric designs reduce structural stiffness, thereby diminishing load-bearing capacity. Moreover, while existing research primarily focuses on single ABH beams, studies on attached ABH configurations remain underdeveloped. This paper develops a dynamic model for a spring-coupled ABH beam-uniform beam system using Timoshenko beam theory and the isogeometric approach, aiming to extend the application scope of the ABH effect. Validation through comparison with COMSOL Multiphysics numerical results confirms the effectiveness and reliability of the proposed method for analyzing vibrations and responses of double-beam systems. The investigation examines the dynamic response and energy distribution characteristics of the double-beam system. Furthermore, it explores how coupling spring stiffness and ABH beam length parameters affects inter-beam energy transfer. Results reveal a distinct sensitivity range in coupling spring stiffness, where strategic adjustments directly govern energy transfer efficiency within the double-beam system. Additionally, it is found that varying the coupling spring stiffness results in a power-flow difference to the ABH beam of up to 58 dB. Meanwhile, the length parameter of the ABH beam influences the power-flow distribution of the double-beam system across the entire frequency band. This research provides substantial theoretical support for practical engineering applications of ABH technology.
Wang et al. (Fri,) studied this question.
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