An extended transfer matrix model for the sound insulation of dual leaf structures with corrugated panels and structural connections

The transfer matrix method (TMM) was implemented both as a standalone approach and as a method of obtaining cavity infill layer effective properties in a periodic double plate model. These approaches were studied for their potential in predicting the sound insulation characteristics of corrugated dual leaf roofs, with applicability to multi-layered building elements more generally. Corrugated panels were modelled as equivalent orthotropic plates. Infill materials were modelled using both effective fluid representations and a Biot model. Available corrections were introduced to simulate diffuse laboratory conditions and enable comparisons to available laboratory sound transmission loss data. A number of diffuse TL measurements of dual leaf partitions and full roof systems were compared to the TMM. The inclusion of point-to-point connections reduces overestimation of such systems at high frequency, showing a strong influence of connector stiffness and panel damping factor on high frequency performance of systems, particularly with absorbent infill. The equivalent orthotropic plate model predicts a stronger effect of profile depth on low-mid frequency performance than in practice. The predicted TL is compared with laboratory measurements for several systems.