Statistical Energy Analysis Of Structure-borne Sound Transmission By Finite Element Methods

Steel, John Alexander; Craik, R.J.M.

doi:10.1006/jsvi.1994.1503

Cited by 63 publications

(29 citation statements)

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“…In view of this problem, it is difficult to adopt traditional sound insulation, muffler or sound control In order to predict and measure the structure-borne sound in buildings, a series of methods and techniques have been established. Statistical energy analysis (SEA) is a technique ideally suited for the study of sound and vibration transmission through complex structures [10]. Craik and Yamazaki et al [11,12] examined the structural coupling and used SEA models to learn the vibration and sound propagating paths.…”

Section: Introductionmentioning

confidence: 99%

“…Finite element models do not suffer from these limitations at low frequencies and can be used to model such systems "exactly". Steel and Craik [10] used a finite element model to carry out "numerical experiments" to show the relationship between the properties of subsystems and the coupling between them. Toyoda and Takahashi [13] used the finite-difference time-domain method which is investigated as a new prediction method for architectural structure-borne sound.…”

Section: Introductionmentioning

confidence: 99%

“…Craik and Yamazaki et al [11,12] examined the structural coupling and used SEA models to learn the vibration and sound propagating paths. However, statistical energy analysis is unreliable at low frequencies due to the statistical uncertainties that occur when there are few resonant modes in each of the elements or subsystems [10]. Finite element models do not suffer from these limitations at low frequencies and can be used to model such systems "exactly".…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Modeling Analysis on Propagation of Structure-Borne Vibration Caused by an Indoor Distribution Transformer in a Building and Its Control Method

Wang

Liang

et al. 2017

Applied Sciences

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Abstract:With the increase of urban population and electricity demand, in order to provide sufficient power to residents, distribution transformers are getting closer to residential buildings, and are even directly placed on the first floor or the basement of buildings due to space limitations. The vibration and noise with low frequency of mainly 50-250 Hz generated by the distribution transformers spread to rooms through beams, bricks, walls and other building structures, which inevitably damages the living environment. In this paper, through focusing on the frame of buildings, simulation models of the indoor distribution transformer vibrating in the structure field are built, including a two-layer model and a six-layer model. This paper simulates and analyzes the vibration response of the structural system, studies the propagation laws of the structure-borne sound caused by the transformer and quantitatively analyzes the attenuation characteristics of the vibration. Finally the prevention method of the structure-borne noise, called vibration isolation, is introduced and analyzed by the field test to evaluate the noise reduction effect.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Modeling Analysis on Propagation of Structure-Borne Vibration Caused by an Indoor Distribution Transformer in a Building and Its Control Method

Wang

Liang

et al. 2017

Applied Sciences

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“…However, it is known that the predictions computed using the SEA at lower frequencies are unreliable, and thus the method is not applicable to low-frequency sound transmission. To overcome this difficulty, Steel and Craik (1994) used the SEA together with a Finite Element Method (FEM) model to estimate the sound transmission between walls.…”

Section: Introductionmentioning

confidence: 99%

3D Multi-Domain MFS Analysis of Sound Pressure Level Reduction Between Connected Enclosures

Godinho¹,

Branco²,

Amado-Mendes³

2011

Archives of Acoustics

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In this paper, the authors study the 3D propagation of sound waves between two closed spaces. The separation element between the two rooms is considered to include either a small opening or a homogeneous lightweight panel, coupling the two spaces. A numerical study of this configuration is performed, trying to understand the influence of the position and geometry of this opening in the sound pressure level reduction curve at low and midfrequencies. Additionally, the coupling effect between the two acoustic spaces is analyzed, in order to better understand its importance when determining the sound pressure level reduction. Different boundary conditions are ascribed to the walls of these rooms, simulating both the completely reflecting and partially absorbing surfaces.The numerical modelling was performed using a multi-domain formulation of the Method of Fundamental Solutions (MFS). The system is composed of two coupled rooms, limited by rigid or by absorbing walls, and separated by a thin wall (tending to null thickness) with a small opening. An experimental validation of the proposed model is presented, comparing its results with those found experimentally for a reduced-scale model. It is important to note that, for such a configuration, a traditional single-domain approach using methods like the MFS or the BEM would lead to undetermined equation systems, and thus the proposed model makes use of a domain decomposition technique.

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“…Steel and Craik [7] used both the SEA and the FEM to calculate the sound transmission between solid panels. The comparison of the results with measured data revealed that the FEM could be used for determining the coupling between subsystems, which are required when implementing the SEA model.…”

Section: Introductionmentioning

confidence: 99%

Analytical evaluation of the acoustic insulation provided by double infinite walls

António

Tadeu

Godinho

2003

Journal of Sound and Vibration

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The acoustic insulation provided by infinite double panel walls, when subjected to spatially sinusoidal line pressure loads, is computed analytically. The methodology used extends earlier work by the authors on the definition of the acoustic insulation conferred by a single panel wall. It does not entail any simplification other than the assumption that the panels are of infinite extent. The full interaction between the fluid (air) and the solid layers is thus taken into account and the calculation does not involve limiting the thickness of any layer, as the Kirchhoff or Mindlin theories require. The problem is first formulated in the frequency domain. Time domain solutions are then obtained by means of inverse Fourier transforms using complex frequencies.The model is first used to compute the sound reduction provided by a double homogeneous brick wall, with identical panels, when illuminated by plane sound waves. The results are then compared with those provided by the simplified method proposed by London, which was later extended by Beranek (LondonBeranek method). The limitations of the simplified London-Beranek model, namely, its applicability only to double walls with identical mass, subjected to plane waves, and its failure to account for the coincidence effect, are overcome by the method proposed.Time signatures are produced to illustrate the different sound transmission mechanisms. Several types of body and guided waves are originated, giving rise to a complex dynamic system with multiple reflections within the solid and fluid layers and the global resonance of the system. The effect of the cavity absorption is considered by attributing a complex density to the air filling the space between the two wall panels. Absorption attenuates the dips of insulation controlled by the cavity resonances. Several simulations are then performed for different combinations of wall and air layer thickness to assess the influence of this variable on the final acoustic insulation. The influence of the air cavity on sound reduction was found to be dependent on the frequency. At low frequencies a better performance was achieved for thicker air layers, while at higher frequencies a thinner air layer is preferable. The use of wall panels with different mass resulted in the wall performing better, particularly for high frequencies. 0022-460X/03/$ -see front matter r

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Statistical Energy Analysis Of Structure-borne Sound Transmission By Finite Element Methods

Cited by 63 publications

References 0 publications

Modeling Analysis on Propagation of Structure-Borne Vibration Caused by an Indoor Distribution Transformer in a Building and Its Control Method

Modeling Analysis on Propagation of Structure-Borne Vibration Caused by an Indoor Distribution Transformer in a Building and Its Control Method

3D Multi-Domain MFS Analysis of Sound Pressure Level Reduction Between Connected Enclosures

Analytical evaluation of the acoustic insulation provided by double infinite walls

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