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Applying a functionally graded viscoelastic model on acoustic wave transmission through the polymeric foam cylindrical shell

机译：通过聚合物泡沫圆柱形壳体在声波传输上应用功能梯度粘弹性模型

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摘要

This study presents an analytical solution for calculating sound transmission loss through a circular cylindrical shell made of polymeric foam. The intended cylinder is excited by an acoustic plane wave. The equations of motion for the cylindrical shell are derived by the first-order shear deformation. Besides, the polymeric foam is characterized using functionally graded Zener model in which the mechanical properties are varying continuously in the thickness direction as well as considering the frequency-dependent parameters. Due to the lack of study on the vibro-acoustic behavior of the viscoelastic graded materials, the results are compared with those of some researchers in the literature of elastic materials, and excellent concurrences are observed. Next, the effects of geometrical and material characteristics on the transmission loss factor are investigated. The influence of various power-law index illustrates that by reducing this parameter, the sound transmission loss through the shell is extensively increased. Finally, a comparison is performed along with four models of the cylindrical shells with the same weights including functionally graded viscoelastic, functionally graded, viscoelastic and elastic materials. As a key result, it can be explored that the sound transmission loss in a functionally graded viscoelastic shell is more enhanced than the other cylinders.
机译：该研究提出了一种分析解决方案，用于通过聚合物泡沫制成的圆柱壳计算声音传输损耗。预期的圆筒被声学平面波激发。通过一阶剪切变形导出圆柱形壳体的运动方程。此外，聚合物泡沫的特征在于使用功能梯度齐纳模型，其中机械性能在厚度方向上连续变化以及考虑频率相关的参数。由于缺乏对粘弹性分级材料的振动声行为的研究，结果与弹性材料文献中的一些研究人员进行了比较，并且观察到优异的同时。接下来，研究了几何和材料特性对传输损耗因子的影响。各种幂律指标的影响说明，通过减少该参数，通过外壳的声音传输损耗广泛增加。最后，使用具有相同重量的圆柱形壳体的四个模型进行比较，包括功能梯度粘弹性，功能梯度，粘弹性和弹性材料。作为一个关键结果，可以探索功能上梯度粘弹性壳体中的声音传输损耗比其他气缸更加增强。

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