A mathematical model for a single screen barrier in open-plan offices

Abstract

/npsi/ctrl?lang=en http://nparc.cisti-icist.nrc-cnrc.gc.ca/npsi/ctrl?lang=fr Access and use of this website and the material on it are subject to the Terms and Conditions set forth at http://nparc.cisti-icist.nrc-cnrc.gc.ca/npsi/jsp/nparc_cp.jsp?lang=en NRC Publications Archive Archives des publications du CNRCThis publication could be one of several versions: author's original, accepted manuscript or the publisher's version. / La version de cette publication peut être l'une des suivantes : la version prépublication de l'auteur, la version acceptée du manuscrit ou la version de l'éditeur. For the publisher's version, please access the DOI link below./ Pour consulter la version de l'éditeur, utilisez le lien DOI ci-dessous.http://dx.doi.org/10.1016/S0003-682X(02) [2][3][4][5][6] Applied Acoustics, 63, 8, pp. 849-866, 2002-08-01 A

Sound propagation between two adjacent rectangular workstations in an open-plan office—part I: mathematical modeling

“…It can be seen from Figure 1 that in addition to the dividing screen over which the sound diffraction occurs, the side and back panels, which are at least partially sound reflective, must be considered. Also, as pointed out by many researchers [1,2,8,9] , the ceiling reflection usually plays an important role in speech privacy in open-plan offices and must be included in the model. In [8,9], the acoustic behaviour of a single screen in a flat room was modeled by employing the image source method.…”

“…Also, as pointed out by many researchers [1,2,8,9] , the ceiling reflection usually plays an important role in speech privacy in open-plan offices and must be included in the model. In [8,9], the acoustic behaviour of a single screen in a flat room was modeled by employing the image source method. In that study, general expressions for the reflected and diffracted sound over the screen with the ceiling and floor reflection included were presented.…”

“…Figure 2 shows the plan of the source side workstation and the image sources used to represent reflections from the side and back panels. It should be noted here that each image source shown in Figure 2 actually represents a vertical series of image sources associated with the ceiling and floor reflections, as discussed in [8,9]. Also in Figure 2, the image sources due to the dividing panel are not considered.…”

“…In the discussions above, it was argued that by introducing image sources, the effects of the side panels could be considered by applying the single screen model developed by Wang and Bradley [8,9] . By assuming that the source and the receiver both are on the centre line of the workstation, as shown in Figure 2, and that the heights and the sound reflection coefficients of the two parallel side panels are the same, the sound pressure due to the side panels of the source side can be written as the reflected and diffracted components, |p sr| 2 and |p sd…”

“…Recently, the authors developed a general model for analyzing speech propagation over a single screen including floor and ceiling reflections in an open office [8] . The single screen model uses the Maekawa screen diffraction results and represents floor and ceiling reflections using an image source technique.…”