Sound transmission and mode coupling at junctions of thin plates, part I: Representation of the problem

Craven, Peter G.; Gibbs, B.M.

doi:10.1016/s0022-460x(81)80177-0

Cited by 49 publications

(17 citation statements)

References 10 publications

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“…For junctions where only bending wave transmission is considered, calculation of the angular-average transmission coefficient is described by Lyon and DeJong [15] and Craik [16]; this results in coefficients that are frequencyinvariant. Forjunctions where there is both bending and inplane wave generation, major steps in applying the wave approach were made in the work of Cremer et al [17] and Kihlman [18] with subsequent improvements in computing power providing further advances in application and development of the theory for other types of plate junctions [19,20,21,22,23]. The approach used for the calculations in this paper follows the derivation and calculation procedure described in [7].…”

Section: Wave Theory Used To Determine the Transmission Coefficientsmentioning

confidence: 99%

Determination of Vibration Reduction Indices Using Wave Theory for Junctions in Heavyweight Buildings

Hopkins¹

2014

Acta Acustica united with Acustica

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Airborne and impact sound insulation in buildings can be predicted according to the International Standard, ISO 15712 and the identical European Standard, EN 12354. Calculation of the flanking transmission requires knowledge of the vibration reduction indexf or which these standards contain empirical data. This paper investigates the vibration reduction indexf or the specificc ase of heavyweight buildings built from solid masonry/concrete walls and floors by using wave theory to calculate data for L-, T-and X-junctions. Calculations are carried out assuming only bending wave transmission at the junction as well as bending and in-plane wave transmission at the junction. The results showthat the frequency-invariant empirical data in the standards is likely to give rise to errors in the mid-and high-frequencyranges due to the importance of in-plane wave generation at the junction. Regression analysis is used to identify newrelationships that are specifictojunctions of solid heavyweight walls and floors. Forfuture work these give the potential to re-assess the existence of anybias error using the model in the standards and allowgreater insight into the uncertainty associated with the model. been shown to incur bias errors of up to +10 dB in the airborne sound insulation when compared with matrix SEA which considers all possible transmission paths [6,7,8]. Bias errors have not been evident in some comparisons of measured and predicted single-number quantities for airborne and impact sound insulation (e.g. [2,7,8,9]). However, some comparisons do indicate abias error which could be attributed to the input data [9].Craik [6] suggests that one possible reason for not observing ab ias error in the original work [3] is because the empirical K ij data in EN 12354-1 is based upon measurements that (unintentionally)i ncluded flanking transmission from longer flanking paths. Recent work by Hopkins and Robinson [10] using transient and steady-state forms of SEA provides evidence that K ij measurements on heavyweight junctions in both the laboratory and the field will often incur significant errors due to unwanted flanking transmission. In addition, Hopkins and Robinson showt hat it is essential to use as hort evaluation time for structural reverberation times on heavyweight walls and floors. Theyc oncluded that the use of simplified experimental SEA (asincorporated in EN ISO 10848-1 [11] for K ij measurements)with total loss factors determined from structural reverberation times with large evaluation ranges, such as T 20 ,can appear to give the right answer for structural coupling parameters such as K ij ,b ut for the wrong reasons. This is due to the cancellation of twoe rrors; the error in the estimate of the total loss factor and the error due to unwanted flanking transmission.

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Section: Wave Theory Used To Determine the Transmission Coefficientsmentioning

confidence: 99%

Determination of Vibration Reduction Indices Using Wave Theory for Junctions in Heavyweight Buildings

Hopkins¹

2014

Acta Acustica united with Acustica

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“…Cremer and Heckl [11] suggested wave transmission analysis in a plate stiffened by a rectangular beam element, and a more general study involving beam-plate structures coupled with a linear junction was performed by Langley and Heron [12]. Wave transmission through plate and plate junction has subsequently been studied by many researches [1,13], and in particular, Tso [14] studied the transmission of wave through a cylinder and plate junction. In this section, wave displacements in the semi-infinite beam and the infinite plate are described.…”

Section: Wave Propagation Through Beam and Platementioning

confidence: 99%

Vibrational energy flow analysis of penetration beam-plate coupled structures

et al. 2011

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This study concerns the transmission of vibrational energy through beam-plate junctions by energy flow analysis, which is an analytic tool for predicting the frequency averaged vibration response of built-up structures in the medium to high frequency ranges. A semiinfinite beam perpendicularly connected to an infinite plate is studied using the wave transmission approach. To calculate the power transmission and the reflection coefficients of the beam-plate junction, compatibility and equilibrium conditions are applied when each wave component is incident on the beam and plate, respectively. Power coefficients are calculated and plotted against frequencies for different dimensions and the directivity pattern of the scattered waves in the plate show close agreement with that of the rigid inclusion as the frequency increases. The results obtained are applied to the finite beam and the circular plate coupled structure, and the energy densities obtained from energy flow analysis show better agreement with analytic solution results as frequencies are increased.

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“…[9]. The original calculation models [10,11] for rigid, right-angled junctions have gradually been extended to more complicated junctions [12], including different wave types [13,14] and thick plate effects [15]. Mees and Vermeir [16] extended the wave approach to single wall junctions with elastic interlayers.…”

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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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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Sound transmission and mode coupling at junctions of thin plates, part I: Representation of the problem

Cited by 49 publications

References 10 publications

Determination of Vibration Reduction Indices Using Wave Theory for Junctions in Heavyweight Buildings

Determination of Vibration Reduction Indices Using Wave Theory for Junctions in Heavyweight Buildings

Vibrational energy flow analysis of penetration beam-plate coupled structures

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

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