A Fast Singular Boundary Method for the Acoustic Design Sensitivity Analysis of Arbitrary Two- and Three-Dimensional Structures

Lan, Liyuan; Cheng, Suifu; Sun, Xiatao; Li, Weiwei; Yang, Chao; Wang, Fajie

doi:10.3390/math10203817

Cited by 5 publications

(2 citation statements)

References 53 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It should be noted that the Rayleigh integral is valid only for plate-like structures. However, it is possible to replace the acoustic model with a more advanced model for more complex structures, such as a boundary element model [9][10][11].…”

Section: Introductionmentioning

confidence: 99%

Acoustic Radiation of a Beam Subjected to Transverse Load

et al. 2023

View full text Add to dashboard Cite

In this paper, the dynamic response of a Euler–Bernoulli beam subjected to transverse harmonic forces is calculated. The method of separation of variables combined with the mode shape superposition method, which includes the determination of eigenvalues, is used to define the velocity field of the beam surface. The Rayleigh integral was used to calculate the sound radiation and the beam was placed in an infinite baffle. Additional actuators are introduced in order to minimize the sound radiation, or, more specifically, the total sound power level of the vibrating beam, and their optimal position and force amplitude are determined; the conclusions were drawn from the optimization results. This paper proposes a method for faster determination of the optimal actuator parameters in order to achieve the minimum total sound power level. The validity of the obtained results is demonstrated with examples, whose solutions are compared to the results in the published literature.

show abstract

Section: Introductionmentioning

confidence: 99%

Acoustic Radiation of a Beam Subjected to Transverse Load

et al. 2023

View full text Add to dashboard Cite

show abstract

“…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 In this study, BM-SBM is utilized to analyze the acoustic performance of sound barriers with different shapes.…”

mentioning

confidence: 99%

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

Liu,

Wang,

Zhang

2023

Int Journal of Mech Sys Dyn

Self Cite

View full text Add to dashboard Cite

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.

show abstract