Bates Trent P, Bacon Ian C, Blotter Jonathan D, Sommerfeldt Scott D
Department of Mechanical Engineering, Brigham Young University, Provo, Utah 84602, USA.
Department of Physics and Astronomy, Brigham Young University, Provo, Utah 84602, USA.
J Acoust Soc Am. 2022 Feb;151(2):1171. doi: 10.1121/10.0009581.
Vibration-based sound power (VBSP) measurement methods are appealing because of their potential versatility in application compared to sound pressure and intensity-based methods. It has been understood that VBSP methods have been reliant on the acoustic radiation resistance matrix specific to the surface shape. Expressions for these matrices have been developed and presented in the literature for flat plates, simple-curved plates (constant radius of curvature in one direction), and cylindrical- and spherical-shells. This paper shows that the VBSP method is relatively insensitive to the exact form of the radiation resistance matrix and that computationally efficient forms of the radiation resistance matrix can be used to accurately approximate the sound power radiated from arbitrarily curved panels. Experimental sound power measurements using the VBSP method with the simple-curved plate radiation resistance matrix and the ISO 3741 standard method are compared for two arbitrarily curved panels and are shown to have good agreement. The VBSP method based on the simple-curved plate form of the radiation resistance matrix is also shown to have excellent agreement with numerical results from a boundary element model, which inherently uses the appropriate form of the radiation resistance matrix.
基于振动的声功率（VBSP）测量方法很有吸引力，因为与基于声压和强度的方法相比，它们在应用中具有潜在的通用性。人们已经认识到，VBSP方法依赖于特定于表面形状的声辐射阻抗矩阵。文献中已经针对平板、简单弯曲板（在一个方向上曲率恒定）以及圆柱壳和球壳开发并给出了这些矩阵的表达式。本文表明，VBSP方法对辐射阻抗矩阵的精确形式相对不敏感，并且可以使用计算效率高的辐射阻抗矩阵形式来准确近似从任意弯曲面板辐射出的声功率。针对两个任意弯曲面板，比较了使用具有简单弯曲板辐射阻抗矩阵的VBSP方法和ISO 3741标准方法进行的实验声功率测量，结果显示二者具有良好的一致性。基于简单弯曲板形式的辐射阻抗矩阵的VBSP方法也与边界元模型的数值结果具有极好的一致性，边界元模型本身使用了适当形式的辐射阻抗矩阵。
