Numerical estimation of coupling loss factors in building acoustics

Díaz-Cereceda, Cristina; Poblet-Puig, Jordi; Ferran, Antonio Rodríguez

doi:10.1016/j.jsv.2013.05.012

Cited by 11 publications

(9 citation statements)

References 36 publications

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“…Note that this scheme corresponds to the partitioning generally assumed in the traveling wave approach to SEA [27][28][29][30].…”

Section: Discussionmentioning

confidence: 99%

“…This is so because there is a way out to the situation: one can resort to the wave approach to SEA instead of the modal one. Travelling waves are considered and one can deduce the expressions for the coupling loss factors at a junction [27][28][29][30] from wave transmission coefficients [31][32][33][34]. Finite elements [35][36], spectral methods [37] and hybrid finite element (FEM)-SEA approaches [38] can also be employed to compute them.…”

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confidence: 99%

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A dual modal formulation for multiple flexural subsystems connected at a junction in energy-based models

Maxit

Guasch

2019

Mechanical Systems and Signal Processing

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Statistical energy methods in vibroacoustics, like the statistical energy analysis (SEA) or the statistical modal energy distribution analysis (SmEdA), rely on specific modal coupling assumptions (MCAs) between subsystem modes. These methods assume that the behavior of subsystem mode amplitudes mimic that of oscillators, that the modes within a subsystem are uncoupled, and that the coupling between two different subsystems only takes place through the interaction of resonant modes. In the case of more than two subsystems being connected at a junction, however, it becomes difficult to establish a modal interaction scheme for them. In SEA, the problem is avoided by resorting to the travelling wave approach instead of the modal one. Nevertheless, there is a need for other energy-based methods, like SmEdA, to deal with such a situation. In this work it is proposed to extend the displacement-stress dual formulation, originally intended for two subsystems, to the case of multiple flexural waveguides connected at a junction. Numerical results are presented for a test case consisting of a floor coupled to two walls at right angle. The fulfillment of the MCAs by the dual modal formulation is examined in terms of the impedance mismatch between the floor and the walls.

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“…Note that this scheme corresponds to the partitioning generally assumed in the traveling wave approach to SEA [27][28][29][30].…”

Section: Discussionmentioning

confidence: 99%

mentioning

confidence: 99%

A dual modal formulation for multiple flexural subsystems connected at a junction in energy-based models

Maxit

Guasch

2019

Mechanical Systems and Signal Processing

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“…Cotoni et al [33] studied SEA parameter acquisition using FEM, component mode synthesis (CMS), and periodic structure theory. In terms of the research on transient random excitation CLF, Díaz-Cereceda et al [34,35] studied transient CLF, compared the transient and steady-state CLF of two subsystems with the same coupling vibration in the medium-strength coupling system, determined the undamped transient CLF by the numerical method, and gave the corresponding calculation formula. Wang [36] studied CLF of a linear vibration system and established a statistical energy analysis framework under parameter variation and random excitation.…”

Section: Expression Of Coupling Loss Factor (Clf)mentioning

confidence: 99%

Research Progress on High‐Intermediate Frequency Extension Methods of SEA

Zheng

Deng

et al. 2019

Shock and Vibration

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Statistical energy analysis (SEA) can accurately describe the average vibration characteristics through system energy flow and transmission feedback. It is a powerful tool to solve the problem of high-frequency acoustics-vibration. SEA is widely used in vehicles, ships, aviation, and other transportation engineering fields. However, the expansion of SEA, based on the assumption of modal equipartition and weak coupling, is limited to the intermediate frequency. Although the SEA basic theory can be extended by relaxing the hypothesis conditions or the analysis of the medium-frequency acoustics-vibration can be carried out using the finite element method (FEM) and SEA mixing method, there are still many challenges associated with these options. To improve the basic theory of SEA and knowledge of intermediate frequency extension methods, as well as attract the attention of domestic scholars, this paper describes classical SEA and intermediate frequency extension methods. First, coupling loss factor (CLF) error propagation and parameter acquisition in classical SEA are introduced, and the three relative error calculation methods of CLF are compared. Then, the method of obtaining parameters is described from three aspects of energy transfer, input load, and modal density. Second, SEA intermediate frequency extension technology (experimental statistical energy analysis (ESEA), finite element statistical energy analysis (FE-SEA), statistical modal energy distribution analysis (SMEDA), and waveguide analysis (WGA)) are introduced. Neutron structure assembly and modeling, interval and mixed interval analysis, interval variable and mixed interval variable response are also described, so as to justify the development of a hybrid, large-scale interval algorithm. Finally, the engineering application of the above method is introduced, the limitations and shortcomings of SEA and intermediate frequency extension methods are reviewed, and unsolved problems are further discussed.

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“…To deal with this case, more cluster analyses should be performed changing the cell size, and the most probable decomposition should be identified. For this subdivision, the coupling loss factors between each pair of subsystems should be estimated numerically, see for example [25][26][27][28], and compared with their internal loss factors. If the coupling loss factor between two possible subsystems is larger than their respective internal loss factors, the SEA hypothesis of weak coupling is not fulfilled and, therefore, they should be grouped as a single subsystem.…”

Section: Robustness Of the Decompositionsmentioning

confidence: 99%

Automatic subsystem identification in statistical energy analysis

Díaz-Cereceda

Poblet-Puig

Ferran

2015

Mechanical Systems and Signal Processing

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An automatic methodology for identifying SEA (statistical energy analysis) subsystems within a vibroacoustic system is presented. It consists in dividing the system into cells and grouping them into subsystems via a hierarchical cluster analysis based on the problem eigenmodes. The subsystem distribution corresponds to the optimal grouping of the cells, which is defined in terms of the correlation distance between them. The main advantages of this methodology are its automatic performance and its applicability both to vibratory and vibroacoustic systems. Moreover, the method allows the definition of more than one subsystem in the same geometrical region when required. This is the case of eigenmodes with a very different mechanical response (e.g. out-of-plane or in-plane vibration in shells).

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Numerical estimation of coupling loss factors in building acoustics

Cited by 11 publications

References 36 publications

A dual modal formulation for multiple flexural subsystems connected at a junction in energy-based models

A dual modal formulation for multiple flexural subsystems connected at a junction in energy-based models

Research Progress on High‐Intermediate Frequency Extension Methods of SEA

Automatic subsystem identification in statistical energy analysis

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