Analysis of an Acoustic Monopole Source in a Closed Cavity via CUF Finite Elements

M. C. Moruzzi, M. Cinefra, S. Bagassi
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Abstract

The noise generated by aircraft is an important issue, which affects the external environment and the passenger’s comfort. The researches about new acoustic solutions often lead to the exploitation of innovative materials, as visco-elastic panels or acoustic metamaterials, in order to rather obtain better acoustic properties than conventional materials, in particular at low frequency. Although, there is a lack of reliable tools able to describe the complex kinematic behaviour of these new materials at low frequency. A new strong formulation, the Carrera Unified Formulation (CUF) based on the Finite Element Method (FEM), enables a wide class of refined shell models, which is able to reproduce the frequency dependent dynamic response of complex multi-layered plates. This formulation, fully developed inside the MUL2 software, is applied to vibro-acoustic analyses too, so the need to integrate new sources and boundary conditions in the software, that are essential to model the acoustic problem. A simple and powerful source is the monopole: a pulsating sphere. This source can be a first try to model the complex sources that affect the noise inside the aircraft, as the engine or the internal sources. Moreover, monopoles are widely used to estimate the transmission loss. Hence, the reason for this work: the creation inside MUL2 of a monopole boundary condition and its validation, comparing the results with those of a well-known FEM based commercial software for vibro-acoustic analyses, Actran.

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封闭腔中声单极源的CUF有限元分析
飞机产生的噪声是影响外部环境和乘客舒适度的一个重要问题。对新声学解决方案的研究往往导致开发创新材料,如粘弹性面板或声学超材料,以获得比传统材料更好的声学性能,特别是在低频下。尽管如此,仍缺乏能够描述这些新材料在低频率下复杂运动行为的可靠工具。一种新的强大公式,基于有限元法(FEM)的Carrera统一公式(CUF),实现了一系列精细的壳体模型,能够再现复杂多层板的频率相关动态响应。该公式完全在MUL2软件中开发,也适用于振声分析,因此需要在软件中集成新的源和边界条件,这对声学问题建模至关重要。单极子是一个简单而强大的来源:一个脉动的球体。该源可以是第一次尝试将影响飞机内部噪声的复杂源建模为发动机或内部源。此外,单极子被广泛用于估计传输损耗。因此,这项工作的原因是:在MUL2内部创建单极边界条件并对其进行验证,将结果与著名的基于FEM的振动声学分析商业软件Actran的结果进行比较。
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