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Analytical model of sound transmission through relatively thick FGM cylindrical shells considering third order shear deformation theory

机译：考虑三阶剪切变形理论的较厚FGM圆柱壳声传递解析模型

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摘要

This work presents an analytical solution for acoustic transmission through relatively thick FGM cylindrical shells using third order shear deformation theory (TSDT). An infinitely long FGM cylindrical shell composed of metal and ceramic with power-law distribution of volume fraction through the thickness is considered. The shell is immersed in a fluid with an external airflow and an oblique plane wave impinges on the external sidewall of the shell. Comparing the results of present study with those of previous models (CST and FSDT) for thin shells, similar results are observed due to limited effects of shear and rotation on transmission loss (TL). However, for relatively thick shells where the shear and rotation effects become more important in lower R/h, TSDT presents more accurate results caused by its higher order model. In addition, the results show proportional change in TL according to distribution of material properties through the thickness of FG cylindrical shells.
机译：这项工作提出了使用三阶剪切变形理论（TSDT）通过较厚的FGM圆柱壳进行声传输的解析解决方案。考虑了由金属和陶瓷组成的无限长的FGM圆柱壳，其幂律分布在整个厚度范围内。壳体浸入具有外部气流的流体中，并且斜平面波撞击在壳体的外侧壁上。将本研究的结果与薄壳的先前模型（CST和FSDT）的结果进行比较，由于剪切和旋转对传输损耗（TL）的影响有限，观察到了相似的结果。但是，对于相对较厚的壳，在较低的R / h下，剪切和旋转效应变得更加重要，TSDT的较高阶模型会导致更准确的结果。此外，结果表明TL随FG圆柱壳厚度的材料特性分布成比例变化。

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