Statistical Energy Analysis of Coupled Plate Systems With Low Modal Density and Low Modal Overlap

Hopkins, Carl

doi:10.1006/jsvi.2001.4002

Cited by 54 publications

(33 citation statements)

References 22 publications

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“…Large variations are therefore possible for a specific junction. However, previous investigations [8,26,27] have indicated that SEA can give reasonable results even when these criteria are not met. A comparison with numerical simulations for finite-sized plates has indeed indicated that SEA can give good insight in the general trends even at low frequencies [28].…”

Section: Double Concrete Wall Junctionsmentioning

confidence: 93%

“…Because these structures are highly damped when fully connected in real buildings, SEA can give reasonable results even when these criteria are not met [8,26,27]. Furthermore, a preliminary comparison with numerical simulations for structure-borne sound transmission across single and double concrete wall junctions has indicated that SEA can give good insight in the general trends [28].…”

Section: Introductionmentioning

confidence: 99%

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Vibration Transmission Across Junctions of Double Walls Using the Wave Approach and Statistical Energy Analysis

Dijckmans¹

2016

Acta Acustica united with Acustica

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The sound insulation between adjacent rooms in buildings is not only determined by direct airborne sound transmission through the common wall, but also by structure-borne flanking transmission. To quantify the flanking transmission, the determination of the vibrational energy transmission at a junction between plates is crucial. In this paper, statistical models are developed for the prediction of flanking transmission across rigid junctions composed of single and double walls. The coupling loss factors are determined from wave theory for semi-infinite plates under the assumption of diffuse vibration fields. In-plane wave transmission must be accounted for in the case of wave transmission across double wall junctions. In general, the vibration transmission across double walls shows similar trends as the vibration transmission across single walls. An initial assessment of flanking transmission across a double wall junction can therefore be made by use of an equivalent single wall junction model. The developed models can also be used to investigate structure-borne flanking transmission across two adjacent single wall junctions. It is shown that indirect coupling between non-adjacent plates is important and should be accounted for in statistical models.

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Section: Double Concrete Wall Junctionsmentioning

confidence: 93%

Section: Introductionmentioning

confidence: 99%

Vibration Transmission Across Junctions of Double Walls Using the Wave Approach and Statistical Energy Analysis

Dijckmans¹

2016

Acta Acustica united with Acustica

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“…More recently, experimental work and numerical modelling of wave modes at a 35 junction has been conducted [21,22] using the analytical approach developed by Heron and Langley [15].…”

Section: Introductionmentioning

confidence: 99%

Wave transmission through two-dimensional structures by the hybrid FE/WFE approach

Mitrou

Ferguson

Renno

2017

Journal of Sound and Vibration

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The knowledge of the wave transmission and reflection characteristics in connected two-dimensional structures provides the necessary background for many engineering prediction methodologies. Extensive efforts have previously been exerted to investigate the propagation of waves in two-dimensional periodic structures. This work focuses on the analysis of the wave propagation and the scattering properties of joined structures comprising of two or more plates. The joint is modelled using the finite element (FE) method whereas each (of the joined) plate(s) is modelled using the wave and finite element (WFE) method. This latter approach is based on post-processing a standard FE model of a small segment of the plate using periodic structure theory; the FE model of the segment can be obtained using any commercial/in-house FE package. Stating the equilibrium and continuity conditions at the interfaces and expressing the motion in the plates in terms of the waves in each plate yield the reflection and transmission matrices of the joint. These can then be used to obtain the response of the whole structure, as well as investigating the frequency and incidence dependence for the flow of power in the system.

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“…(12). MOF is evaluated for each subsystem, and if the MOF of all subsystems of the system is greater than 1, the application of analytical SEA to that system is regarded as satisfactory (1), (13) .…”

Section: Application Index Of Analytical Seamentioning

confidence: 99%

“…The principle parameters are power input, subsystem energy, and coupling loss factor averaged over space and frequency. Information that verifies these theoretical formulae is only found in papers related to coupling loss factors (13) , and verification of these theoretical formulae is performed through FEM analysis in this paper. First, the derivation of theoretical formulae is addressed, principle parameters are expressed primarily in terms of modal density, and it is shown that they do not depend on details such as subsystem shape or boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

Verification of Representation of Analytical SEA Parameters for Structure-Borne Sound in Terms of Modal Density by Using FEM

Yamazaki

Kuroda

2009

JEE

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This paper verifies the representation of power input and subsystem energy in terms of modal density of subsystems in Statistical Energy Analysis (SEA) by means of FEM calculations. First, vibration response in the modal form is used to derive the representations. It is shown that the utilization of values averaged over space and frequency for the power input and the subsystem energy of the subsystem can be represented in terms of the modal density. Furthermore, the coupling loss factor between plate subsystems is also analytically estimated by using the wave theory and is determined on the basis of the modal density. In order to verify these representations, FEM calculations are performed to compare subsystem energies, power inputs and coupling loss factors of three types of structures with different subsystem shapes and the same modal densities. The estimations obtained with analytical SEA are also compared with the FEM calculation results.

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Statistical Energy Analysis of Coupled Plate Systems With Low Modal Density and Low Modal Overlap

Cited by 54 publications

References 22 publications

Vibration Transmission Across Junctions of Double Walls Using the Wave Approach and Statistical Energy Analysis

Vibration Transmission Across Junctions of Double Walls Using the Wave Approach and Statistical Energy Analysis

Wave transmission through two-dimensional structures by the hybrid FE/WFE approach

Verification of Representation of Analytical SEA Parameters for Structure-Borne Sound in Terms of Modal Density by Using FEM

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