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A novel 2.5D spectral approach for studying thin-walled waveguides with fluid-acoustic interaction

机译：用于研究具有流体声相互作用的薄壁波导的新颖的2.5D光谱方法

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This paper presents a novel formulation of two spectral elements to study guided waves in coupled problems involving thin-walled structures and fluid-acoustic enclosures. The aim of the proposed work is the development of a new efficient computational method to study problems where geometry and properties are invariant in one direction, commonly found in the analysis of guided waves. This assumption allows using a two-and-a-half dimensional (2.5D) spectral formulation in the wavenumber-frequency domain. The novelty of the proposed work is the formulation of spectral plate and fluid elements with an arbitrary order in 2.5D. A plate element based on a Reissner-Mindlin/Kirchhoff-Love mixed formulation is proposed to represent the thin-walled structure, This element uses C-0 approximation functions to overcome the difficulties to formulate elements with an arbitrary order from C-1 functions. The proposed element uses a substitute transverse shear strain field to avoid shear locking effects. Three benchmark problems are studied to check the convergence and the computational effort for different h - p strategies. Accurate results are found with an appropriate combination of element size and order of the approximation functions allowing at least six nodes per wavelength. The effectiveness of the proposed elements is demonstrated studying the wave propagation in a water duct with a flexible side and an acoustic cavity coupled to a Helmholtz resonator. (C) 2018 Elsevier Ltd. All rights reserved.
机译：本文提出了两个频谱元素的新颖公式，以研究涉及薄壁结构和流体声封闭的耦合问题中的导波。拟议工作的目的是开发一种新的高效计算方法，以研究几何和特性在一个方向上不变的问题，这些问题通常是在导波分析中发现的。该假设允许在波数-频域中使用二维半（2.5D）频谱公式。拟议工作的新颖性是在2.5D中以任意顺序绘制光谱板和流体元素。提出了一种基于Reissner-Mindlin / Kirchhoff-Love混合公式的板单元来表示薄壁结构。该单元使用C-0逼近函数来克服难以从C-1函数公式化任意阶数的元素。拟议的元素使用替代横向剪切应变场，以避免剪切锁定效应。研究了三个基准问题，以检查不同h-p策略的收敛性和计算量。通过适当组合元素大小和近似函数的阶数，可以找到准确的结果，每个波长至少允许六个节点。通过研究在具有柔性侧面和耦合到亥姆霍兹共振器的声腔的水管中的波传播，证明了所提出元件的有效性。 （C）2018 Elsevier Ltd.保留所有权利。

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