Damping of flexural vibrations in circular plates with tapered central holes
Damping of flexural vibrations in circular plates with tapered central holes
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DOI：
10.1016/j.jsv.2010.11.017
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发表时间：
2011-05
影响因子：
4.7
通讯作者：
D. O'Boy;V. Krylov
中科院分区：
文献类型：
--
作者：
D. O'Boy;V. Krylov
本文提出了一种计算幂律型锥形中心孔圆板挠度的数值方法。在相应边界问题的数值求解过程中，采用了m=2时存在的相应挠曲波方程的精确解。注意，该m值属于几何声学近似中与锥形孔准平面波零反射相关的幂律范围m≥2。考虑了在中心空穴区域增加阻尼的两种情况：薄吸收层和约束层。对这两种情况都计算了交叉和点的移动。所得的点和交叉迁移率结果表明，与具有相同幂律剖面的无孔板和覆盖或未覆盖薄吸收层的等厚度参考圆形板的情况相比，谐振峰有明显的抑制（高达17dB）。需要进一步的理论和实验研究来检验所获得的数值结果在更实际的情况下的应用，例如矩形板或其他具有任意位置锥形孔的结构。
The paper develops a numerical approach to the calculation of mobilities for a circular plate with a tapered central hole of power-law profile. The exact solution of the corresponding flexural wave equation that exists for m=2 has been used in the process of the numerical solution of the corresponding boundary problem. Note that this value of m belongs to the power-law range m≥2 associated with zero reflection of quasi-plane waves from a tapered hole in geometrical acoustics approximation. Two cases of added damping in the central hole area have been considered: a thin absorbing layer and a constrained layer. Cross and point mobilities have been calculated for both these cases. The obtained results for point and cross mobilities show a substantial suppression of resonant peaks (up to 17dB), in comparison with the cases of a plate with an uncovered hole of the same power-law profile and of a reference circular plate of constant thickness covered or uncovered by a thin absorbing layer. Further theoretical and experimental research is needed to examine applications of the obtained numerical results to more practical situations, e.g. to rectangular plates or other structures with arbitrary locations of tapered holes.