Using Statistical Energy Analysis to predict sound insulation in buildings

Sound insulation in the field is determined by both direct and flanking transmission; hence a prediction model such as Statistical Energy Analysis (SEA) is useful at the design stage to determine the overall transmission. This paper gives an overview of classical SEA models which are commonly used to predict airborne and impact sound insulation. Such models sometimes need to incorporate data from measurements or deterministic models (e.g. finite element methods) to give accurate predictions. For example, this occurs when building components, or the coupling/connections between them, are too complex to model with simple idealizations of beams, plates and springs. This is sometimes considered in the low-frequency range because heavyweight walls and floors often have low modal density and low modal overlap which increases the uncertainty in coupling loss factors predicted using wave theory. In this paper, experimental and numerical examples are used to illustrate aspects relating to the inclusion of laboratory measurements in SEA models. Whilst classical SEA gives predictions of steady-state sound and vibration (i.e. Leq values) it is also useful to be able to predict Fast time-weighted sound pressure levels inside buildings. Hence examples are given to show that when the principles of classical SEA are applied in short–time periods using Transient SEA (TSEA) it is possible to predict Lp,Fmax from transients such as footsteps on heavyweight floors.

[1]  Carl Hopkins,et al.  Prediction of maximum fast time-weighted sound pressure levels due to transient excitation from the rubber ball and human footsteps , 2015 .

[2]  Robert J.M. Craik The contribution of long flanking paths to sound transmission in buildings , 2001 .

[3]  Carl Hopkins,et al.  Prediction of airborne sound transmission across a timber–concrete composite floor using Statistical Energy Analysis , 2016 .

[4]  Carl Hopkins,et al.  Analysis of bending wave transmission using beam tracing with advanced statistical energy analysis for periodic box-like structures affected by spatial filtering , 2015 .

[5]  Robert J.M. Craik,et al.  Statistical Energy Analysis Of Structure-borne Sound Transmission By Finite Element Methods , 1994 .

[6]  Carl Hopkins Vibration transmission between coupled plates using finite element methods and statistical energy analysis. Part 1: Comparison of measured and predicted data for masonry walls with and without apertures , 2003 .

[7]  R. Lyon,et al.  Theory and Application of Statistical Energy Analysis , 2014 .

[8]  Carl Hopkins Determination of Vibration Reduction Indices Using Wave Theory for Junctions in Heavyweight Buildings , 2014 .

[9]  Philip C. Mendelsohn Theory and numerical implementation of greedy algorithms in highly nonlinear approximation , 2006 .

[10]  Laurent Galbrun The prediction of airborne sound transmission between two rooms using first-order flanking paths , 2008 .

[11]  C. Hopkins STATISTICAL ENERGY ANALYSIS OF COUPLED PLATE SYSTEMS WITH LOW MODAL DENSITY AND LOW MODAL OVERLAP , 2002 .

[12]  Carl Hopkins,et al.  Regression curves for vibration transmission across junctions of heavyweight walls and floors based on finite element methods and wave theory , 2016 .

[13]  Shin Heu,et al.  Experimental Validation of , 1991 .