Regression curves for vibration transmission across junctions of heavyweight walls and floors based on finite element methods and wave theory |
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Authors: | Carl Hopkins Charlotte Crispin Jordi Poblet-Puig Catherine Guigou-Carter |
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Institution: | 1. Acoustics Research Unit, School of Architecture, University of Liverpool, Liverpool L69 7ZN, United Kingdom;2. Belgian Building Research Institute – Acoustics Division, Lombardstraat 42, B-1000 Brussels, Belgium;3. Laboratori de Càlcul Numèric, E.T.S. d’Enginyers de Camins, Canals i Ports de Barcelona, Universitat Politècnica de Catalunya, Campus Nord B1, Jordi Girona 1, E-08034 Barcelona, Spain;4. Direction Santé Confort, Centre Scientifique et Technique du Bâtiment, Joseph Fourier 24, Saint Martin d’Hères 38400, France |
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Abstract: | Sound insulation prediction models in European and International Standards use the vibration reduction index to calculate flanking transmission across junctions of walls and floors. These standards contain empirical relationships between the ratio of mass per unit areas for the walls/floors that form the junction and a frequency-independent vibration reduction index. However, calculations using wave theory show that there is a stronger relationship between the ratio of characteristic moment impedances and the transmission loss from which the vibration reduction index can subsequently be calculated. In addition, the assumption of frequency-independent vibration reduction indices has been shown to be incorrect due to in-plane wave generation at the junction. Therefore numerical experiments with FEM, SFEM and wave theory have been used to develop new regression curves between these variables for the low-, mid- and high-frequency ranges. The junctions considered were L-, T- and X-junctions formed from heavyweight walls and floors. These new relationships have been implemented in the prediction models and they tend to improve the agreement between the measured and predicted airborne and impact sound insulation. |
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Keywords: | Sound insulation Vibration reduction index Finite elements Wave theory Plates Junctions |
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