Modified 2.5D singular boundary methods to deal with spurious eigensolutions in exterior acoustic problems

Fakhraei, J.; Villamarín, Robert Arcos; Pàmies, Teresa; Liravi, Hassan; Garbí, Jordi Romeu

doi:10.1016/j.jsv.2023.117597

Cited by 4 publications

(2 citation statements)

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“…25–27. Among them, the Burton–Miller‐type singular boundary method (BM‐SBM) proposed by Fu et al 28 is a semianalytical and boundary‐type meshless scheme, and has been successfully applied to high‐frequency acoustic radiation and scattering, 29 acoustic design sensitivity analysis, 30,31 and spurious eigensolutions in exterior acoustic problems 32 …”

Section: Introductionmentioning

confidence: 99%

“…Among them, the Burton-Miller-type singular boundary method (BM-SBM) proposed by Fu et al 28 is a semianalytical and boundary-type meshless scheme, and has been successfully applied to high-frequency acoustic radiation and scattering, 29 acoustic design sensitivity analysis, 30,31 and spurious eigensolutions in exterior acoustic problems. 32 In this study, BM-SBM is utilized to analyze the acoustic performance of sound barriers with different shapes. The influence of the distribution of sound-absorbing materials on the acoustic performance of sound barriers is discussed.…”

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confidence: 99%

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Performance analysis and material distribution optimization for sound barriers using a semianalytical meshless method

Liu,

Wang,

Zhang

2023

Int Journal of Mech Sys Dyn

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With the increase in car ownership, traffic noise pollution has increased considerably and is one of the most severe types of noise pollution that affects living standards. Noise reduction by sound barriers is a common protective measure used in this country and abroad. The acoustic performance of a sound barrier is highly dependent on its shape and material. In this paper, a semianalytical meshless Burton–Miller‐type singular boundary method is proposed to analyze the acoustic performance of various shapes of sound barriers, and the distribution of sound‐absorbing materials on the surface of sound barriers is optimized by combining a solid isotropic material with a penalization method. The acoustic effect of the sound‐absorbing material is simplified as the acoustical impedance boundary condition. The objective of optimization is to minimize the sound pressure in a given reference plane. The volume of the sound‐absorbing material is used as a constraint. The density of the nodes covered with the sound‐absorbing material is used as the design variable. The method of moving asymptotes was used to update the design variables. This model completely avoids the mesh discretization process in the finite element method and requires only boundary nodes. In addition, the approach also does not require the singular integral calculation in the boundary element method. The method is illustrated and validated using numerical examples to demonstrate its accuracy and efficiency.

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