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阶梯环形声学黑洞板件性能研究

Research on the performance of step toroidal acoustic black hole plates

  • 摘要: 阶梯环形声学黑洞(step toroidal acoustic black hole,STABH)是一种通过改进传统声学黑洞(acoustic black hole, ABH)几何构型以增强能量聚集效应和减振特性的结构。本文旨在探究STABH板件的能量聚集性能与振动控制,基于声学黑洞理论建立STABH与传统ABH的有限元模型,对比分析两者在频域与时域的振动响应,通过单因素分析研究截断厚度、半径、幂指数对能量聚集的影响规律,并采用正交试验优化结构参数,在优化结构底部敷设阻尼层进行增强设计。结果表明:STABH在中高频段具有更集中的能量分布,且时域响应衰减更快,残余振动更低,参数影响显著程度排序为半径>幂指数>截断厚度,优化组合使平均振动速度响应达68.78 dB,敷设阻尼层后全频段振动响应整体下降约20 dB,显著提升系统的振动抑制性能,为高性能声学黑洞结构的设计与应用提供了理论依据与工程参考。

     

    Abstract: The Step Toroidal Acoustic Black Hole (STABH) is a structural design aimed at enhancing energy concentration and vibration damping performance by geometrically modifying the conventional Acoustic Black Hole (ABH). This paper investigates the energy concentration behavior and vibration control capability of STABH plates. Based on acoustic black hole theory, finite element models of both the STABH and the conventional ABH are developed to comparatively analyze their vibration responses in the frequency and time domains. The effects of truncated thickness, radius, and power exponent on energy concentration are systematically examined via single-factor parametric analysis, and structural parameters are optimized using orthogonal experimental design. A viscoelastic damping layer is applied to the bottom surface of the optimized STABH structure to further enhance its vibration suppression performance. Results indicate that the STABH exhibits a more localized energy distribution in the mid-to-high-frequency range and faster time-domain decay with reduced residual vibration amplitude. The relative significance of the three parameters follows the order: radius > power exponent > truncated thickness. The optimal parameter combination yields an average vibration velocity level of 68.78 dB. With the integrated damping layer, the vibration velocity response across the entire frequency band is reduced by approximately 20 dB, markedly improving overall vibration suppression performance. This study provides both a theoretical foundation and practical engineering guidance for the design and application of high-performance acoustic black hole structures.

     

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