Acoustic black holes (ABHs) in beams and plates have been extensively studied as a passive method for vibration attenuation and noise reduction. However, most research to date has focused on analyzing the behavior of a single ABH structural element, using numerical or semi-analytical deterministic approaches. If ABHs are to be exploited for practical industrial applications, there is a need to characterize their performance in complex built-up structures and to describe them with statistical methods in the mid-high frequency range. This paper presents a first step towards this goal by employing statistical modal energy distribution analysis (SmEdA) to evaluate the transmission loss of ABH panels separating two air cavities. SmEdA splits vibroacoustic systems into subsystems and establishes power balance equations between the modes belonging to different subsystems. This avoids the energy equipartition assumption of traditional statistical energy analysis (SEA) and extends it to low modal overlap systems. In this work, the benefits of embedding ABHs on plates for noise reduction between cavities are predicted with SmEdA. The role played by the size, shape and number of ABH indentations on the plate are inspected, as well as the influence of other parameters like the truncation thickness, ABH order and damping. The effects of added mass and stiffness of the damping layer are investigated and it is observed that, with proper design, ABH plates can exhibit substantial transmission loss improvement in the vicinity of the critical frequency of uniform plates. Both resonant and non-resonant transmission are considered in the analysis.

中文翻译：

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使用统计模态能量分布分析具有多个嵌入声学黑洞的板的传输损耗

梁和板中的声学黑洞 (ABH) 作为一种减振和降噪的被动方法已被广泛研究。然而，迄今为止，大多数研究都集中在使用数值或半分析确定性方法分析单个 ABH 结构元素的行为上。如果要将 ABH 用于实际工业应用，则需要在复杂的组合结构中表征它们的性能，并在中高频范围内用统计方法描述它们。本文通过采用统计模态能量分布分析 (SmEdA) 来评估分隔两个空气腔的 ABH 面板的传输损耗，为实现这一目标迈出了第一步。SmEdA 将振动声系统拆分为子系统，并在属于不同子系统的模式之间建立功率平衡方程。这避免了传统统计能量分析 (SEA) 的能量均分假设，并将其扩展到低模态重叠系统。在这项工作中，使用 SmEdA 预测了在板上嵌入 ABH 以减少腔间噪声的好处。检查板上 ABH 压痕的大小、形状和数量所起的作用，以及截断厚度、ABH 阶数和阻尼等其他参数的影响。研究了阻尼层增加的质量和刚度的影响，并观察到，通过适当的设计，ABH 板可以在均匀板的临界频率附近表现出显着的传输损耗改善。