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Three-dimensional wave propagation on orthotropic cylindrical shells with arbitrary thickness considering state space method

机译:考虑状态空间法的任意厚度正交异性圆柱壳上的三维波传播

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This work presents an analytical solution based on the three-dimensional exact equations of anisotropic elasticity for sound transmission through orthotropic cylindrical shells with arbitrary thickness using a laminate approximate model and a state space method along with the transfer matrix approach. The shell is assumed to be infinitely long and is subjected to an oblique plane wave with uniform external airflow in the external fluid medium. The developed equations are applied to the calculation of the diffuse field transmission of a cylinder. Predictions with the presented models are compared with those of previous models for thin shells. Similar results are observed due to restricted effects of shear and rotation on transmission loss (TL). However, the presented model demonstrates more accurate results for thick shells as the shear and rotation effects become more significant in lower R/h ratio. Additionally, the effects of related parameters on transmission loss such as material and geometrical properties are discussed. (C) 2015 Elsevier Ltd. All rights reserved.
机译:这项工作提出了一种基于各向异性弹性三维精确方程的解析解决方案,该方法利用层状近似模型和状态空间方法以及传递矩阵方法,通过具有任意厚度的正交各向异性圆柱壳进行声音传输。假定壳是无限长的,并且在外部流体介质中受到均匀的外部气流的斜平面波的作用。所开发的方程式被用于圆柱体的扩散场透射的计算。将本文模型的预测与以前的薄壳模型的预测进行比较。由于剪切和旋转对传输损耗(TL)的限制作用,观察到了相似的结果。但是,由于在较低的R / h比下,剪切和旋转效应变得更加明显,因此所提出的模型证明了厚壳的更准确的结果。此外,还讨论了相关参数对传输损耗(例如材料和几何特性)的影响。 (C)2015 Elsevier Ltd.保留所有权利。

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