Predicting the Acoustical Radiation of Finite Size Multi-Layered Structures by Applying Spatial Windowing on Infinite Structures

Villot, Michel; Guigou, Caroline; Gagliardini, Laurent

doi:10.1006/jsvi.2001.3592

Cited by 134 publications

(120 citation statements)

References 10 publications

Supporting

Mentioning

118

Contrasting

Order By: Relevance

“…The spatial windowing technique has been presented by Villot et al [14] to account for the finite size of a plane structure in sound transmission and radiation calculations. This section describes how this technique can be incorporated in the 2.5D coupled FE-BE method to account for the finite length of a structure in dynamic SSI problems.…”

Section: 5d Coupled Fe-be Methods With Spatial Windowingmentioning

confidence: 99%

“…Equation (11) reveals that spatial windowing results in a distribution of the energy over the entire wavenumber range [14], while it was originally concentrated at k y = k y0 . This is illustrated in figure 2.…”

Section: 5d Coupled Fe-be Methods With Spatial Windowingmentioning

confidence: 99%

“…when individual modes of the structure dominate the response), as it is unable to account for reflected waves at the boundaries to reproduce the resonant behaviour of the modes [17]. At higher frequencies, however, the response shifts from the resonant to the non-resonant mass-law regime and application of the spatial windowing technique leads to results in good agreement with experiments [14,16,17].…”

Section: Introductionmentioning

confidence: 95%

“…The spatial windowing technique has been proposed by Villot et al [14] to include the effect of diffraction associated with the finite size of plane structures on sound transmission and radiation. The basic idea of this approach is to apply a spatial rectangular baffle to the structural velocity wavefield of an infinite structure; the windowed wavefield is subsequently employed to compute the radiated wavefield in the wavenumber domain.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

A spatial windowing technique to account for finite dimensions in 2.5D dynamic soil–structure interaction problems

Coulier¹,

Dijckmans²,

François³

et al. 2014

Soil Dynamics and Earthquake Engineering

View full text Add to dashboard Cite

The dynamic interaction between a layered halfspace and quasi translationally invariant structures such as roads, railway tracks, tunnels, dams, and lifelines can be modelled using a computationally efficient 2.5D approach, assuming invariance of the geometry in the longitudinal direction. This assumption is not always fulfilled in practice, however. Even for elongated structures, full 3D computations may be required for an accurate solution of the dynamic soil-structure interaction problem. This paper presents a spatial windowing technique for elastodynamic transmission and radiation problems that allows accounting for the finite length of a structure, still maintaining the computational efficiency of a 2.5D formulation. The proposed technique accounts for the diffraction occurring at the structure's edges, but not for its modal behaviour resulting from reflections of waves at its boundaries. Numerical examples of a barrier for vibration transmission and a surface foundation are discussed to demonstrate the accuracy and applicability of the proposed methodology. Full 3D calculations are performed to provide a rigorous validation for each of these examples. It is demonstrated that the proposed technique is appropriate as long as the response is not dominated by the resonant behaviour of individual modes of the structure.

show abstract

Section: 5d Coupled Fe-be Methods With Spatial Windowingmentioning

confidence: 99%

Section: 5d Coupled Fe-be Methods With Spatial Windowingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 95%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A spatial windowing technique to account for finite dimensions in 2.5D dynamic soil–structure interaction problems

Coulier¹,

Dijckmans²,

François³

et al. 2014

Soil Dynamics and Earthquake Engineering

View full text Add to dashboard Cite

show abstract

“…However, the finite dimensions of the structures can be considered improving these models. Villot et al [42] present a technique that introduces the diffraction effect associated to the finite size of a structure using spatial windowing. Kernen and Hassan [28] also emphasise the treatment of finite dimension structures.…”

Section: Introductionmentioning

confidence: 99%

The finite layer method for modelling the sound transmission through double walls

Díaz-Cereceda

Poblet-Puig

Ferran

2012

Journal of Sound and Vibration

View full text Add to dashboard Cite

The finite layer method (FLM) is presented as a discretisation technique for the computation of noise transmission through double walls. It combines a finite element method (FEM) discretisation in the direction perpendicular to the wall with trigonometric functions in the two in-plane directions. It is used for solving the Helmholtz equation at the cavity inside the double wall, while the wall leaves are modelled with the thin plate equation and solved with modal analysis. Other approaches to this problem are described here (and adapted where needed) in order to compare them with the FLM. They range from impedance models of the double wall behaviour to different numerical methods for solving the Helmholtz equation in the cavity. For the examples simulated in this work (impact noise and airborne sound transmission), the former are less accurate than the latter at low frequencies. The main advantage of FLM over the other discretisation techniques is the possibility of extending it to multilayered structures without changing the interpolation functions and with an affordable computational cost. This potential is illustrated with a calculation of the noise transmission through a multilayered structure: a double wall partially filled with absorbing material.

show abstract

Extensions to the Transfer Matrix Method

Allard

Atalla

2009

Propagation of Sound in Porous Media

View full text Add to dashboard Cite

This chapter discusses various extensions and applications of the transfer matrix method (TMM). First, corrections to account for size effects in absorption and transmission loss problems are presented with validation examples. Next, the application of the method to point load excited panels with attached sound packages is discussed. Finite size correction for the transmission problemThe classical transfer matrix method assumes a structure of infinite extent. For transmission loss application, the method correlates well with experiments at mid to high frequencies for a large range of flat panels. Discrepancies are however observed at low frequencies, especially for panels of small size. This section presents a simple geometrical correction to account for this 'geometrical' finite size effect (Ghinet and Atalla, 2002). The rationale behind the approach presented is to replace the radiation efficiency in the receiving domain by the radiation efficiency of an equivalent baffled window. This approach is thus strictly valid for planar structures. Transmitted powerConsider a baffled panel of area S excited by a plane incident wave with heading angles(θ, φ)p i (M) = exp −jk 0 (cos φ sin θx + sin φ sin θy + cos θz) (12.1) Propagation of Sound in PorousMedia: Modelling Sound Absorbing Materials, Second Edition J. F. Allard and N. Atalla

show abstract

Predicting the Acoustical Radiation of Finite Size Multi-Layered Structures by Applying Spatial Windowing on Infinite Structures

Cited by 134 publications

References 10 publications

A spatial windowing technique to account for finite dimensions in 2.5D dynamic soil–structure interaction problems

A spatial windowing technique to account for finite dimensions in 2.5D dynamic soil–structure interaction problems

The finite layer method for modelling the sound transmission through double walls

Extensions to the Transfer Matrix Method

Contact Info

Product

Resources

About