Prediction of sound transmission in long spaces using ray tracing and experimental Statistical Energy Analysis

In Statistical Energy Analysis (SEA) and more generally in all statistical theories of sound and vibration, the establishment of diffuse field in subsystems is one of the most important assumption. Diffuse field is a special state of vibration for which the vibrational energy is homogeneously and isotropically distributed. For subsystems excited with a random white noise, the vibration tends to become diffuse when the number of modes is large and the damping sufficiently light. However even under these conditions, the so-called coherent backscattering enhancement (CBE) observed for certain symmetric subsystems may impede diffusivity. In this study, CBE is observed numerically and experimentally for various geometries of subsystem. Also, it is shown that asymmetric boundary conditions leads to reduce or even vanish the CBE. Theoretical and numerical simulations with the ray tracing method are provided to support the discussion.

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Sound and Vibration Transmission Through Panels and Tie Beams Using Statistical Energy Analysis

Journal of Engineering for Industry ◽

10.1115/1.3428011 ◽

1971 ◽

Vol 93 (3) ◽

pp. 775-781 ◽

Cited By ~ 8

Author(s):

M. J. Crocker ◽

M. C. Battacharya ◽

A. J. Price

Keyword(s):

Energy Analysis ◽

Transmission Loss ◽

Sound Transmission ◽

Accurate Method ◽

Acoustic Energy ◽

Statistical Energy Analysis ◽

Sound Transmission Loss ◽

Lateral Shear ◽

Architectural Acoustics ◽

Bending Waves

The transmission of sound and vibration through structures is of interest in many noise control problems, including architectural acoustics, sound transmission through aircraft, spacecraft and ships, and the transmission of noise through machinery and engine enclosures. Statistical energy analysis provides a simple and accurate method of approaching these problems. In this paper, theory is examined for the transmission of acoustic energy through single panels, independent double panels, and double panels connected with tie beams. In the single panel case, the theoretical model consists of three linearly coupled oscillators; room-panel-room. The independent double panel case consists of five oscillators; room-panel-cavity-panel-room. In the connected double panel case, the tie beams must be accounted for as the sixth oscillator. A coupling loss factor is determined for the ties by considering the transmission of longitudinal waves, bending waves, and lateral shear waves in the ties. Both resonant and nonresonant transmission are included in the theory. It is shown that for a single panel, the experimental sound transmission loss, panel radiation resistance, and vibration amplitude are all well predicted by the theory. The experimental sound transmission loss is also well predicted in the independent double panel and coupled double panel cases.

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A Study of Vibration Transmission in a Framed Building

Building Acoustics ◽

10.1177/1351010x9400100104 ◽

1994 ◽

Vol 1 (1) ◽

pp. 49-64 ◽

Cited By ~ 1

Author(s):

J.A. Steel ◽

R.J.M. Craik ◽

R. Wilson

Keyword(s):

Energy Analysis ◽

Sound Transmission ◽

Statistical Energy Analysis ◽

Vibration Transmission ◽

Analysis Methods ◽

Floor Slabs

Sound transmission through large buildings can be studied using Statistical Energy Analysis (SEA). In this study measurements were carried out to investigate sound transmission through a framed building. Sound transmission between columns, beams, walls and floors is investigated. Sound transmission through the building is investigated and measured and predicted results are shown. Difficulties were encountered when modelling large floor slabs. The work demonstrates the application of Statistical Energy Analysis methods to the study of sound transmission in framed buildings and highlights some of the diiffculties.

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Predicting speech transmissibility using ray tracing and statistical energy analysis

The Journal of the Acoustical Society of America ◽

10.1121/1.4805743 ◽

2013 ◽

Vol 133 (5) ◽

pp. 3363-3363

Author(s):

Sascha Merz ◽

Vincent Cotoni ◽

Phil Shorter

Keyword(s):

Ray Tracing ◽

Energy Analysis ◽

Statistical Energy Analysis

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Research on the Prediction of Impact Sound Insulation to a Homogeneous Wall

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.744-746.1593 ◽

2015 ◽

Vol 744-746 ◽

pp. 1593-1596

Author(s):

Shang You Wei ◽

Xian Feng Huang ◽

Zhi Xiang Zhuang ◽

Jun Xin Lan

Keyword(s):

Energy Analysis ◽

Sound Transmission ◽

Sound Insulation ◽

Statistical Energy Analysis ◽

Analysis Framework ◽

Mechanism Of Impact ◽

Sound Reduction ◽

The Impact ◽

Insulating Properties ◽

Reduction Index

In this paper, a theoretical model to evaluate impact sound transmission through a homogeneous wall is proposed. The model which is based on the Statistical Energy Analysis framework exhibits a system with room-wall-room. For the purpose to explore the mechanism of impact sound transmission through a wall, the impact sound reduction index between two rooms are predicted. Meanwhile, the variation of impact sound reduction index with the walls properties are also taken into account. The results reveal that the density, elastic modulus and thickness of a homogeneous wall have diverse effects on its impact sound insulation and can be chosen adequately to achieve ideal insulation values.It provides an approach to optimize impact sound insulating properties of the walls.

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