Coupling strength assumption in statistical energy analysis

Lafont, Thibault; Totaro, Nicolas; Bot, Alain Le

doi:10.1098/rspa.2016.0927

Cited by 10 publications

(7 citation statements)

References 30 publications

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“…Their values are given in Table 6. Their small values show that all these systems of coupled plates are in the weak coupling regime (see [35] for comparison with other simulations from weak to strong coupling).…”

Section: Presentation Of the Different Casessupporting

confidence: 52%

Ergodic billiard and statistical energy analysis

Totaro

Maxit

et al. 2019

Wave Motion

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This paper highlights the importance of ergodicity of billiards in Statistical energy analysis (SEA), a statistical theory of sound and vibration. We show that the main relationship of statistical energy analysis, the so-called coupling power proportionality, is intimately linked with the establishment of a diffuse vibration field in subsystems. In particular, we show that when subsystems have ergodic geometries or when the nature of excitation enforces a diffuse field, the energy exchange between two weakly coupled subsystems is proportional to the difference of vibrational energies. But when the field is not diffuse (either non isotropic or non homogeneous), the exchange of energy does not generally follow this proportionality. Numerical simulations are provided to support the discussion.

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Section: Presentation Of the Different Casessupporting

confidence: 52%

Ergodic billiard and statistical energy analysis

Totaro

Maxit

et al. 2019

Wave Motion

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“…Generally, this requires that dissipation is stronger than coupling. This can be reflected by the dissipation and coupling loss factors in each subsystem [23]. They are shown in Figure 6 for the subsystems in the middle region beneath the train which indicates that the dissipation loss factor is greater than the coupling loss factor, which to some extent verifies the 'weak coupling' assumption.…”

Section: Direct Sound Pressure On Train Floor Due To Rolling Noisementioning

confidence: 78%

Investigation of acoustic transmission beneath a railway vehicle by using statistical energy analysis and an equivalent source model

Thompson

Squicciarini

et al. 2021

Mechanical Systems and Signal Processing

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An approach is presented for modelling the noise propagation beneath the train floor and this is applied to rolling noise sources. It is assumed that the sound incident on the train floor is made up of a direct and a reverberant component. A combination of two numerical modelling approaches is considered to deal with these: an equivalent source model, to represent the direct component, and statistical energy analysis (SEA) for the reverberant part. In the equivalent source model, the wheel is replaced by monopole and dipole sources, which represent its radial and axial radiation. The rail vertical vibration and the sleepers are replaced by arrays of monopole sources while the rail lateral vibration is replaced by an array of lateral dipoles. The sound power of the rolling noise is obtained by using the TWINS model. In the SEA model, the region beneath the train floor is divided into several volumes and the power input to these subsystems is assumed to be due to the first reflections from the train floor and the ground. The reverberant and direct sound have very similar contributions to the total sound power incident on the train floor although this depends on how the equipment is arranged beneath the train. The modelling approach is verified by comparing the predicted sound pressure levels with laboratory measurements and with field tests.

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“…Therefore in order to achieve a higher ∆t∆ω, a weaker coupling (k c << k A,B ) between two resonators should be chosen. Statistical Energy Analysis (SEA) [21,22] can also be used to study this coupled system. Based on the SEA theory, the classical power flow relationship between coupled resonators is P = β(E A − E B ), where E A and E B are vibrational energies of two resonators.…”

Section: Coupled Resonator With Broken Lorentz Reciprocitymentioning

confidence: 99%

“…(2.2) of[22] reduces to β = k 2c /(c A + c B ) with m A = m B = ω A = ω B = 1.As the half-power bandwidth is driven by the internal damping,∆ω A = c A /m A = c A .The decay time is driven by the internal damping and loss by energy exchange, ∆t B = 2π/(∆ω B + β). Hence ∆ω A × ∆t B = 2πc A /(c B + Q factor (∼ decay time ∆t B ) of B as functions of coupling factor k c and 1/c B .…”

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confidence: 99%

Coupled mechanical resonators with broken Lorentz reciprocity for sensor applications

2019

Mechanical Systems and Signal Processing

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Having simultaneously a high quality factor (i.e. a narrow resonant band) and a shorter decay time between the resonating system and the external sources (i.e. a wide resonant band) is a desirable characteristic for mechanical resonators, which however has been regarded as contradictory. This has been known as the limit of Lorentz reciprocity. We explore a configuration to achieve this desired characteristic within the mechanical regime. The configuration consists of a pair of mechanical resonators coupled together through their connecting part. One of them is encapsulated in a vacuum environment, and the other is left in the normal ambient condition. Numerical model of this configuration shows clearly the advantages such as: (a), sensitivity to the change of resonant frequency is greatly improved (the product of bandwidth ∆ω and the decay time ∆t has increased at least two orders of magnitude); (b), the value of ∆ω · ∆t can be adjusted through the coupling stiffness.

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Coupling strength assumption in statistical energy analysis

Cited by 10 publications

References 30 publications

Ergodic billiard and statistical energy analysis

Ergodic billiard and statistical energy analysis

Investigation of acoustic transmission beneath a railway vehicle by using statistical energy analysis and an equivalent source model

Coupled mechanical resonators with broken Lorentz reciprocity for sensor applications

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