Buenos Aires – 5 to 9 September, 2016 Acoustics for the 21st Century… PROCEEDINGS of the 22nd International Congress on Acoustics Calculation models for timber structures (Silent Timber Build): Paper ICA2016-271 Modelling various floor and wall assemblies and comparisons to measured values Delphine Bard (a),*, Klas Hagberg (b), Tobias Augustsson (c) (a) Lund Univeristy, Engineering Acoustics, Sweden, delphine.bard@construction.lth.se (b) WSP Acoustics, Sweden, klas.hagberg@wspgroup.se (c) Chalmers University, Sweden, augustsson.tobias@gmail.com Abstract In the project Silent Timber Build a series of calculations have been made in order to find out modelling difficulties using the software SEAWood, which is partly developed and refined in the project. The calculations were carried out in order to achieve a better understanding of which parts of the modelling that is most critical in order to arrive in a satisfactory prediction compared to expected subjective evaluation, hence in order to take measures in the further development of the prediction tool to arrive in better accuracy of the calculations. They are also made in order to find out which building parts that are of less importance or even might be neglected in the assemblies and finally which building parts that are of certain importance in terms of material characteristics and similar, in order to further improve the optimization of wooden floor and wall assemblies. The predicted floor and wall assemblies are typical from Europe (Scandinavia and mid Europe), for which correct and verified laboratory measurements are available in order to perform reliable comparisons and adequate conclusions. The results from the comparisons (predictions vs measurements) show that additional work is needed in order to 1. Refine the model in low frequencies; 2. Focus on improved material characteristics for intermediate layers and also to avoid some of them; 3. Group the floor and wall assemblies due to their prediction ability. Keywords: SEAWood, Airborne sound, prediction, Impact sound 22nd International Congress on Acoustics, ICA 2016 Buenos Aires – 5 to 9 September, 2016 Acoustics for the 21st Century… MODELLING VARIOUS FLOOR AND WALL ASSEMBLIES AND COMPARISONS TO MEASURED VALUES 1 Introduction In the project Silent Timber Build an SEA software called SEAWOOD [1] is refined and further developed in order to facilitate prediction of any wooden construction currently used in Europe. It might also be used in order to optimize future constructions in a wise manner based on modern requirements for wooden constructions. In the master thesis work presented here, the software has been used with rather small preparations and a number of randomly selected floor assemblies have been modelled. All assemblies have been tested in an accredited laboratory in order to compare the results. The calculations are primarily focused on airborne sound insulation so far. The impact sound is also considered. However, the model is not yet fully applicable due to shortcomings in the impact sound source model. 2 Method The software SEAWOOD [1], which has been further developed within the research project “Silent Timber Build”, is a specific version of SEA+ provided by the French company InterAC (www.interac.fr). InterAC is research partner in Silent Timber Build. The software developed in the project has restricted mathematical libraries limited to plane elements and is dedicated to the wood building industry, to facilitate prediction of any wooden structure. SEAWOOD creates SEA models out of Finite Element Models (Nastran preferably) using the SEA Virtual module. Any Virtual SEA model can be coupled to any other analytical SEAWOOD subsystem reducing analysis time in both SEA and FEM while improving accuracy. Simulations have been carried out both for airborne sound insulation and for impact sound levels. The simulations presented here do not currently make use of the virtual SEA module but instead uses traditional SEA. The most critical part for wooden constructions is impact sound levels, however still some work remains to model the source properly [2]. By measuring the impact sound machine and importing a force time history signals to the software, a more accurate prediction of the impact sound levels could be made. The following requirements are used in the comparison: · Rw · Rw+C50-3150 · Ln,w · Ln,w+CI,50-2500 All measures are described in [3] and [4]. 2 22nd International Congress on Acoustics, ICA 2016 Buenos Aires – 5 to 9 September, 2016 Acoustics for the 21st Century… 3 Results 3.1 Airborne sound insulation Five different floor assemblies have been modelled for airborne sound insulation and then compared with measured results. Two of them have also been modelled and compared to impact sound levels. The measurements were carried out according to ISO 10140-1 in various accredited laboratories in Europe. Both bare structural CLT elements and floor assemblies comprising several layers in addition to the structural element have been calculated and measured. In figure 1, one bare CLT is modelled and the results are convincing. The element is a CLT 140 L5s. The various values are according to the following: Rw = 36 dB and Rw+C50-3150 = 35 dB (measured) Rw = 36 dB and Rw+C50-3150 = 35 dB (calculated value using uniform, see below) For modelling the CLT plates, three different approaches are used. The simplest way was to model the CLT plate a solid plate called uniform section. In reality the CLT plates are made up of laminated timber. In SEAWOOD this can be represented by either a static or dynamic laminate. The static laminate section considers an orthotropic plate where each layer contributes with their static inertia to calculate the material properties for the whole section. For the dynamic laminate the different layers are cross coupled to each other. Depending on the material properties involved the layers becomes uncoupled with the increase in frequency. Figure 1: Modelling of airborne sound insulation of CLT 140 L5s 3 22nd International Congress on Acoustics, ICA 2016 Buenos Aires – 5 to 9 September, 2016 Acoustics for the 21st Century… By adding a floating floor on top of the CLT element, comprising 60 mm Weber cement screed on a 20 mm impact sound isolating board (ISOVER TDPS 20) and then modelling this with two subsystems gives a good agreement to the measured value. In both cases the Rw becomes 49 dB and Rw+C50-3150 becomes 47 dB. Figure 2: Modelling of airborne sound insulation for a floor assembly comprising CLT 140 L5s Isover TDPS 20 impact sound plate and 60 mm Weber floor. Blue dotted curve equals measured curve and red curve is predicted. Rw becomes 49 dB in both cases. Additionally, a 320 mm CLT was modelled and the result is shown in figure 3. When plates get thicker their behaviour change and they are not a plate anymore. They act more like a “block”. It seems that this transition appear at the thickness from 220 mm. Therefore the same theory cannot apply and that might also be the reason for bad conformity between the measured 1/3 octave band values and the predicted 1/3 octave band values. However, the single numbers corresponds well to each other and exhibit the following results: Rw = 45 dB and Rw+C50-3150 = 43 (measured) Rw = 46 dB and Rw+C50-3150 = 44 (calculated value using uniform, see below) 4 22nd International Congress on Acoustics, ICA 2016 Buenos Aires – 5 to 9 September, 2016 Acoustics for the 21st Century… Figure 3: Modelling of airborne sound insulation of CLT 320 L5s Another attempt to model a more complex system comprising two separated layers of CLT of different thicknesses (exact layup is not presented due to secrecy) and mineral wool in the cavity. In one of the two cases four layers of 12,5 mm gypsum boards are added on top (total thickness 50 mm). The measured values and the predicted values are less consistent in these cases. In high frequencies there are big deviations probably due to laboratory issues, see figure 4. Corresponding adaptation terms for the different cases are 1. with Gypsum boards o C50-3150= -5 dB (measured) o C50-3150= -3 dB (SEAWood) 2. without Gypsum boards o C50-3150= -4 dB (measured) o C50-3150= -2 dB (SEAWood) Figure 4: Simulation of two different floor assemblies comprising two structural elements divided with no connection at all, however mineral wool in the cavity. Case one is pure CLT and case two four layers of gypsum boards are added. 5 22nd International Congress on Acoustics, ICA 2016 Buenos Aires – 5 to 9 September, 2016 Acoustics for the 21st Century… 3.2 Impact sound levels Two simulations have been made for impact sound levels on bare CLT structural elements. The single number show good agreement, see table 1, however the third octaves do not fit perfectly, see figure 4. For CLT 140 the calculated values are generally higher than the measured, especially in the low frequency region and for the CLT 320 it is the opposite. Table 1: Weighted normalized impact sound levels for CLT 140 and 320 Structural element Ln,w / Ln,w+CI,50-2500 Calculated Measured CLT 140 Ls 90 / .. 86 /.. CLT 320 Ls 80 /.. 80 /.. The model for impact sound source is still under development and improvements are expected in the near future. Current modelling is carried out by using a force time history signal from the impact sound machine placed on a concrete floor. The signal was then averaged and modelled as a point force in the software. Figure 5: Calculated and measured values for bare floor structural element. Red curves correspond to predicted values and blue curves are measured values. Left diagram: CLT 140 Ls; Right diagram: CLT 320 Ls. 4 Conclusions Wooden structures might be complex and their behaviour can vary. So far only few structures have been modelled in this master thesis project. However, in the project Silent Timber Build a lot more modelling and comparisons have been carried out. The modelled floor assemblies are structural homogeneous CLT elements of different thicknesses and in some cases with additional layers to improve the sound insulation. However if the material characteristics are 6 22nd International Congress on Acoustics, ICA 2016 Buenos Aires – 5 to 9 September, 2016 Acoustics for the 21st Century… known it should be possible to create accurate models for any other structural elements with different lay ups. The modelling is rather convincing for the airborne sound insulation so far, all the way down to 50 Hz. However, still there are a number of assumptions that have to be carried out which is not very easy. For going further in prediction we have to experimentally characterize both panel loss factor (DLF) and their related mechanical coupling loss factor (CLF). For impact sound level, additional information regarding the tapping machine is also needed (apart from what is described above), to create and reliable predictions in the full frequency range. Acknowledgments The authors would like to acknowledge all R&D partners of Silent Timber Build project representing the following countries: Sweden, France, Germany, Austria, Norway and Switzerland. References [1] Borello, G. “SEAWood”, Software for calculating floor and wall assemblies for wooden structures. www.interac.fr, 2016. [2] Borello, G. Force identification of the shock machine – Test Campaigns in FCBA, Internal Report for the Silent Timber Build Project, 2015. [3] ISO, International Standard ISO 717-1: Acoustics - Rating of sound insulation in buildings and of building elements - Part 1; Airborne sound insulation. 2013. [4] ISO, International Standard ISO 717-2: Acoustics - Rating of sound insulation in buildings and of building elements - Part 1; Impact sound insulation. 2013. 7