Panel Contribution Analysis Based on FEM, BEM and Numerical Green’s Function Approaches

Shaposhnikov, Kirill; Jensen, Mads Jakob Herring

doi:10.1142/s2591728518500378

Cited by 5 publications

(1 citation statement)

References 13 publications

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“…In (Wu et al, 2019) the influence of acoustic waves to structural vibrations was solved by a hybrid method consisting of FEM and BEM; it was so called the acoustic-structural coupling problem. In (Shaposhnikov, Jensen, 2018) an interaction between panel vibrations and the acoustic pressure in closed domain was treated. To solve the problem, the FEM and BEM and the numerical Green's function (exact) were applied (hybrid method).…”

Section: Introductionmentioning

confidence: 99%

Archives of Acoustics

Prędka

Kocan-Krawczyk

Brański

2020

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Two optimization aspects of the meshless method (MLM) based on nonsingular radial basis functions (RBFs) are considered in an acoustic indoor problem. The former is based on the minimization of the mean value of the relative error of the solution in the domain. The letter is based on the minimization of the relative error of the solution at the selected points in the domain. In both cases the optimization leads to the finding relations between physical parameters and the approximate solution parameters. The room acoustic field with uniform, impedance walls is considered.As results, the most effective Hardy's Radial Basis Function (H-RBF) is pointed out and the number of elements in the series solution as a function of frequency is indicated. Next, for H-RBF and fixed n, distributions of appropriate acoustic fields in the domain are compared. It is shown that both aspects of optimization improve the description of the acoustic field in the domain in a strictly defined sense.

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Section: Introductionmentioning

confidence: 99%

Archives of Acoustics

Prędka

Kocan-Krawczyk

Brański

2020

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Energy density-based non-negative surface contributions in interior acoustics

Gurbuz

Schmid

Luegmair

et al. 2022

Journal of Sound and Vibration

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Recent Advances in Acoustic Boundary Element Methods

Preuss

Gurbuz

Jelich

et al. 2022

J. Theor. Comp. Acout.

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The modern scope of boundary element methods (BEM) for acoustics is reviewed in this paper. Over the last decades the BEM has gained popularity despite suffering from shortcomings, such as fictitious eigenfrequencies and poor scalability due to its dense and frequency-dependent coefficient matrices. Recent research activities have been focused on alleviating these drawbacks to enhance BEM usability across industry and academia. This paper reviews what is commonly known as direct BEM for linear time-harmonic acoustics. After introducing the boundary integral formulation of the Helmholtz equation for interior and exterior acoustic problems, recommendations are given regarding the boundary meshing and treatment of the non-uniqueness problem. It is shown how frequency sweeps and modal analyses can be carried out with BEM. Further extensions for efficient modeling of large-scale problems, including fast BEM and solutions methods, are surveyed. Additionally, this review paper discusses new application areas for modern BEM, such as viscothermal wave propagation, surface contribution analyses, and simulation of periodically arranged structures as found in acoustic metamaterials.

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Panel Contribution Analysis Based on FEM, BEM and Numerical Green’s Function Approaches

Cited by 5 publications

References 13 publications

Archives of Acoustics

Archives of Acoustics

Energy density-based non-negative surface contributions in interior acoustics

Recent Advances in Acoustic Boundary Element Methods

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