Department of Aeronautical and Automotive Engineering, Loughborough University, Loughborough, Leicestershire LE11 3TU, United Kingdom.
J Acoust Soc Am. 2011 Jun;129(6):3475-82. doi: 10.1121/1.3585844.
The paper describes the results of experimental measurements of point mobility carried out on circular plates containing tapered holes of quadratic power-law profile with attached damping layers. The obtained results are compared to the developed numerical model, as a means of validation. The profiles of the tapered hole in the plates are designed to replicate near zero reflection of quasi-plane waves from a tapered hole in geometrical acoustics approximation, also known as acoustic black hole effect. The driving point mobility measurements are provided, showing a comparison of the results for a constant thickness circular plate, a constant thickness plate with a layer of damping film applied and a plate with a quadratic power-law profile machined into the center, which is tested with a thin layer of elastic damping material attached. The results indicate a substantial suppression of resonant peaks, agreeing with a numerical model, which is based on the analytical solution available for the vibration of a plate with a central quadratic power-law profile. The paper contains results for the case of free boundary conditions on all edges of the plates, with emphasis placed on the predictions of resonant frequencies and the amplitudes of vibration and loss factor.
本文描述了在含有二次幂律轮廓锥形孔并附有阻尼层的圆形板上进行的点动导纳实验测量结果。将得到的结果与开发的数值模型进行了比较，作为验证手段。这些板上锥形孔的轮廓旨在复制几何声学近似（也称为声学黑洞效应）中锥形孔对近似平面波的近零反射。提供了驱动点动导纳测量结果，比较了具有恒定厚度的圆形板、附有阻尼薄膜的恒定厚度板以及在中心加工成二次幂律轮廓的板的结果，该板附有一层弹性阻尼材料。结果表明，共振峰值得到了显著抑制，这与基于用于具有中心二次幂律轮廓的板的振动的可用解析解的数值模型一致。本文包含了板所有边缘处于自由边界条件的情况下的结果，重点是共振频率和振动幅度以及损耗因子的预测。
