Scaled boundary finite element method for an acoustic cavity with porous layer

IF 4.2 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Engineering Analysis with Boundary Elements Pub Date : 2024-11-01 DOI:10.1016/j.enganabound.2024.106003

A.L.N. Pramod

引用次数: 0

Abstract

In this work, the scaled boundary finite element method (SBFEM) is used to predict the frequency response of an acoustic cavity with a porous layer based on Biot–Allard theory. For the porous material, both the solid and the fluid displacements are considered as the primary variables. Scaled boundary shape functions are used to interpolate the acoustic pressure within the acoustic cavity, and the solid and fluid displacements in the porous material. The material matrices of the porous material are decomposed in such a way that the elemental matrices are real and frequency independent. This allows the elemental matrices to be computed and stored for a given mesh and is used for each frequency increment thus reducing the number of computations. Numerical examples are presented to show the computational efficiency of the SBFEM in predicting the frequency response of a porous material excited with acoustic cavity.

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带多孔层声腔的比例边界有限元法

本研究基于 Biot-Allard 理论，采用比例边界有限元法（SBFEM）预测带有多孔层的声腔的频率响应。对于多孔材料，固体和流体位移都被视为主要变量。缩放边界形状函数用于插值声腔内的声压以及多孔材料中的固体和流体位移。多孔材料的材料矩阵分解方式使元素矩阵与实数和频率无关。这样就可以计算和存储给定网格的元素矩阵，并用于每个频率增量，从而减少计算次数。本报告提供了一些数值示例，以说明 SBFEM 在预测声腔激发的多孔材料频率响应时的计算效率。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Engineering Analysis with Boundary Elements 工程技术-工程：综合

CiteScore

5.50

自引率

18.20%

发文量

368

审稿时长

56 days

期刊介绍： This journal is specifically dedicated to the dissemination of the latest developments of new engineering analysis techniques using boundary elements and other mesh reduction methods. Boundary element (BEM) and mesh reduction methods (MRM) are very active areas of research with the techniques being applied to solve increasingly complex problems. The journal stresses the importance of these applications as well as their computational aspects, reliability and robustness. The main criteria for publication will be the originality of the work being reported, its potential usefulness and applications of the methods to new fields. In addition to regular issues, the journal publishes a series of special issues dealing with specific areas of current research. The journal has, for many years, provided a channel of communication between academics and industrial researchers working in mesh reduction methods Fields Covered: • Boundary Element Methods (BEM) • Mesh Reduction Methods (MRM) • Meshless Methods • Integral Equations • Applications of BEM/MRM in Engineering • Numerical Methods related to BEM/MRM • Computational Techniques • Combination of Different Methods • Advanced Formulations.