PREDICTION OF SOUND FIELDS IN ROOMS WITH MEMBRANE MATERIALS : Development of a limp membrane element in acoustical FEM analysis and its application

Sakuma, Tetsuya; Iwase, Tomoyuki; Yasuoka, Masahito

doi:10.3130/aija.63.1_3

Cited by 11 publications

(13 citation statements)

References 7 publications

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“…According to a formulation of limp membrane elements proposed by Sakuma et al [20], we incorporate the contribution from MPP surfaces into FE equation, in which only the mass of the MPP is considered to include the effect of sound-induced vibration of the material itself, which is important for treating the light weight MPP [18]. Although the presented formulation is mathematically simpler than the above-mentioned FEM such as the FEM based on the porous material model and the vibroacoustic FEM, the application range is restricted than those methods because the effects of bending stiffness and support conditions of the MPP cannot be considered in this formulation.…”

Section: Theorymentioning

confidence: 99%

“…In Eq. (18), the limp membrane elements [20] for treating membrane materials can be defined simply by replacing M MPP and Z M of the MPP with the surface density M PM and the flow resistance R of the membrane PM. Therefore, presented formulation can handle sound absorbing structures using an MPP and a PM simply by changing only the parameters of the material.…”

Section: Four-node Quadrilateral Mpp Elements For Two Dimensional Anamentioning

confidence: 99%

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A finite-element formulation for room acoustics simulation with microperforated panel sound absorbing structures: Verification with electro-acoustical equivalent circuit theory and wave theory

Okuzono

Sakagami

2015

Applied Acoustics

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a b s t r a c tA simple frequency-domain finite-element method (FD-FEM) for sound field analyses inside rooms installed with microperforated panel (MPP) sound absorbing structures is described here. This method can also analyze sound absorbing structures composed of MPPs and permeable membranes (PM) simply by changing the only material parameters of MPP into those of PM. As the first stage of the study, the validity of the present FD-FEM is tested through the numerical experiments based on the impedance tube method for measuring the absorption characteristics at normal incidence. In the numerical experiments, we calculated the absorption characteristics of a single MPP absorber, a double-leaf MPP space absorber and a space absorber composed of MPP and PM by using the FD-FEM in two-dimensions, and the computed absorption characteristics are compared with those calculated by an electro-acoustical equivalent circuit theory or a wave theory based on Helmholtz-Kirchhoff boundary integral equation. The results showed that the presented FD-FEM can analyze the absorption characteristics at normal incidence of the MPP sound absorbing structures accurately with the simplicity of the formulation.

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Section: Theorymentioning

confidence: 99%

Section: Four-node Quadrilateral Mpp Elements For Two Dimensional Anamentioning

confidence: 99%

A finite-element formulation for room acoustics simulation with microperforated panel sound absorbing structures: Verification with electro-acoustical equivalent circuit theory and wave theory

Okuzono

Sakagami

2015

Applied Acoustics

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“…Recently, the development of a permeable membrane (PM) absorber for room acoustics applications is an area of active research [1][2][3] because a PM absorber has superior material properties such as light transmissibility, flexibility and lightweight properties. Various theoretical and computational models of PM absorber have been proposed [1][2][3][4] for designing a new PM absorber and for room acoustics simulations in a frequency domain.…”

Section: Introductionmentioning

confidence: 99%

A time-domain finite element model of permeable membrane absorbers

Okuzono

Sakagami

2016

Acoust. Sci. & Tech.

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“…On the other hand, numerical analyses based on the wave equation have been intensively used to explore many kinds of acoustic problems (Craggse, 1979;Choi and Tachibana, 1993;Ikeda et al, 1996;Sakuma et al, 1998). Among the analyses, the finite element method (FEM) is advantageous in its broad range of adaptability.…”

Section: Introductionmentioning

confidence: 99%

Finite Element Sound Field Analysis of Diffuseness in Reverberation Rooms

Tomiku

Otsuru

Takahashi

2002

Journal of Asian Architecture and Building Engineering

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Standard deviations of sound pressure levels and spatial correlation functions of sound fields in reverberation rooms are calculated from sound pressures obtained by sound field analyses based on the authors' finite element method. Distinct differences are found among the standard deviations under four sound source conditions in a regularly shaped reverberation room, while there is not much difference among them for an irregularly shaped reverberation room. Difference between standard deviations of sound fields under the best and worst conditions was found to be 1.0 dB within 1/3 octave band in the regularly shaped reverberation room. Next, spatial correlation function values obtained by the finite element sound field analysis are compared with values in the perfectly diffuse sound field. Differences between actual values in reverberation rooms and theoretical values in the perfectly diffuse sound field (i.e. sin kr / kr) are also compared with standard deviations of sound pressure levels. As a result, both correlation functions and standard deviations are greatly affected by differences in room shape and sound source positions; in contrast, standard deviations are not affected by absorbing material on their boundaries.

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PREDICTION OF SOUND FIELDS IN ROOMS WITH MEMBRANE MATERIALS : Development of a limp membrane element in acoustical FEM analysis and its application

Cited by 11 publications

References 7 publications

A finite-element formulation for room acoustics simulation with microperforated panel sound absorbing structures: Verification with electro-acoustical equivalent circuit theory and wave theory

A finite-element formulation for room acoustics simulation with microperforated panel sound absorbing structures: Verification with electro-acoustical equivalent circuit theory and wave theory

A time-domain finite element model of permeable membrane absorbers

Finite Element Sound Field Analysis of Diffuseness in Reverberation Rooms

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