Abstract Whereas the spatial coherence of wall pressure and vibratory fields induced by turbulent boundary layers (TBLs) on flat plates have been studied at extent, their equivalents for cylindrical structures still need further investigation. To that end, this work develops a semi-analytical model which is valid for infinite cylindrical shells filled with a heavy fluid and excited by an internal TBL. The cylindrical shell can be also coupled to two ring stiffeners that account for the flanges generally used to connect a pipe to other portions of a circuit. The cross-spectrum density (CSD) function of the shell radial accelerations is estimated from the system circumferential sensitivity functions and the CSD of the wall pressure field induced by the TBL. The spatial coherence of the pipe vibration field is therefore analysed for a pipe with and without flanges. This is of critical importance for applications such as non-intrusive techniques for detecting acoustic sources inside pipes, like beamforming using arrays of accelerometers. If the pipe conveys a flow, the beamforming efficiency can strongly deteriorate because of the background noise induced by the TBL, which pollutes the coherence signal between sensors. The effects that the spatial coherence could have on the beamforming results of a line of point sensors (accelerometers) and a ring of wire sensors (piezoelectric coiled wires) are also investigated in this paper.

中文翻译：

---

由内部湍流引起的管道振动的空间相干性

摘要 尽管已经在一定程度上研究了平板上湍流边界层 (TBLs) 引起的壁压力和振动场的空间相干性，但它们在圆柱结构中的等价物仍有待进一步研究。为此，这项工作开发了一个半解析模型，该模型适用于充满重流体并由内部 TBL 激发的无限圆柱壳。圆柱形外壳还可以连接到两个环形加强件，这些加强件构成通常用于将管道连接到回路其他部分的法兰。壳径向加速度的交叉谱密度 (CSD) 函数是根据系统周向灵敏度函数和 TBL 引起的壁压力场的 CSD 估计的。因此，针对带法兰和不带法兰的管道分析了管道振动场的空间相干性。这对于检测管道内声源的非侵入式技术等应用至关重要，例如使用加速度计阵列的波束成形。如果管道传输流，由于 TBL 引起的背景噪声会污染传感器之间的相干信号，波束形成效率会严重恶化。本文还研究了空间相干性对点传感器线（加速度计）和线传感器环（压电盘绕线）的波束形成结果的影响。比如使用加速度计阵列的波束成形。如果管道传输流，由于 TBL 引起的背景噪声会污染传感器之间的相干信号，波束形成效率会严重恶化。本文还研究了空间相干性对点传感器线（加速度计）和线传感器环（压电盘绕线）的波束形成结果的影响。比如使用加速度计阵列的波束成形。如果管道传输流，由于 TBL 引起的背景噪声会污染传感器之间的相干信号，波束形成效率会严重恶化。本文还研究了空间相干性对点传感器线（加速度计）和线传感器环（压电盘绕线）的波束形成结果的影响。