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This paper investigates the prediction of low-frequency impact sound insulation for a solid timber floor formed from dowel-connected joists with Swiss hardwood.
A finite element model was developed for the dynamic response of the floor as it is neither homogeneous nor isotropic and has complex connections.
With point force excitation, a FEM model for the dynamic response of the floor was validated using experimental modal analysis in the laboratory.
Two different FEM models were developed, one using spring connectors and the other using join connectors. Good agreement between FEM and measurements in terms of the Modal Assurance Criterion (MAC) and eigenfrequencies was achieved for the first 14 modes with the spring connector model and for the first 7 modes with the join connector model.
However, for the vibroacoustic analysis it was necessary to use the join connector model due to the computational instabilities of the spring model above 100 Hz when it was coupled to the acoustic medium.
With mechanical excitation the radiated sound power from the underside of the timber floor was measured with sound intensity in order to calculate the radiation efficiency. Comparison of measurements and FEM showed reasonable agreement between 20Hz and 200Hz
In order to set up guidelines for the design of light-weighted ceilings for timber constructions to be used by engineers in practice, investigations based on both measurements and numerical models have been carried out [1, 2, 3].
The setup and the calibration of the numerical model of the structure are outlined briefly.
A semi-analytical approach for the prediction of radiated sound is presented, which is based on Integral Transform Methods. The method can be applied in the post processing of a Finite Element computation.
Thus as a first step the structure, consisting of a timber slab, a floating floor and a suspended ceiling, is built up in a Finite Element model, where the material properties of wood and the characteristics of the system are considered.
The model is parameterized in order to enable computations with varying geometry and material parameters and calibrated with the help of measurements using model updating techniques.
The velocity pattern resulting out of the FEM computation is transformed from the spatial into the wavenumber domain and from the time into the frequency domain using Fourier Transform Methods. Applying this velocity pattern as a boundary condition to the Helmholtz Equation, which results out of the Fourier Transform of the wave equation, the wavenumbers, which fulfil the radiation condition, can be selected and the pressure field in the adjacent acoustic fluid can be computed.
Due to the properties of the Fourier-Transform the radiated sound power can be calculated efficiently in the transformed domain out of pressure and velocity.
In a second part of the contribution the model for the air cushion in the suspended ceiling is discussed, where a FSI-model for the acoustic fluid and the structure is compared against engineering approaches using simplifications concerning mass distribution and transfer impedances between the individual nodes at the interface
In this contribution a method for the prediction of the radiated sound out of the velocity field of a vibrating ceiling is presented. The numerical method was validated via measurements on a real structure using a pp-probe. It is based on Integral Transform techniques and can be applied in the postprocessing of a FEM simulation
(harmonic analysis) [1]. The method was verified by measurements on the real structure and can be used for parametrical studies.
Rounding off the Parts 1 and 2 of this publication nomograms, based on dimensionless parameters, can be developed to predict the sound radiation of light weight slabs. Hereby different sets of geometry as well as different configurations of ceilings can be studied in order to describe the acoustical and dynamical behaviour of wooden ceilings.
Within the scope of the research project "VibWood", operational vibration analyses of timber floor constructions were carried out. In order to understand the vibration behaviour of and the sound transmission through the layers of the constructions the coupling between them was investigated. The transfer function from the point of excitation to a pattern of receiving positions located on each of the layers of the construction was measured using a swept sine excitation. As a result, the frequency range of decoupling between the base floor and the floating floor and between the base floor and the suspended ceiling could be identified and the individual vibration behavior analyzed. The measurements also included the radiated sound power from the suspended ceiling. There is indication that there is not necessarily a correlation between the eigenmodes of the suspended ceiling and the maxima of the radiated sound power
To ensure that building regulations are satisfied, the sound pressure level due to machinery has to be predicted at the design stage of a new building.
With the increasing popularity of multistory timber dwellings, prediction becomes an important issue for designers and consultants. At present previous project experience is often used when considering the design of wall and floor constructions and the mounting positions for machinery.
Simple tools to calculate the sound pressure levels in rooms based on machinery data and construction details are not currently available.
The approach involves two stages: firstly the description of the source and secondly the prediction of vibration transmission across the building and sound radiation into the rooms.
In this paper a simple empirical model is proposed for the second stage. This approach is based on measured transmission functions that are defined as the average sound pressure level in a receiving room relative to the injected structure-borne sound power.
This is a logical extension of approaches to characterize structure-borne sound sources that also use a power based descriptor (e.g. prEN15657:2016-02: Acoustic properties of building elements and of buildings - Laboratory measurement of structure-borne sound from building service equipment for all installation conditions) and provides a simple method to estimate the sound pressure level in a room.
Numerical models for the prediction of vibroacoustical characteristics of light-weighted ceilings
(2013)
In order to set up guidelines for the design of light-weighted ceilings for timber constructions to be used by engineers in practice, investigations based on both measurements and numerical models have been carried out within the cooperative research project “VibWood”.
In this contribution the setup and the calibration of the numerical model of the structure as well as the prediction of radiated sound are discussed, where a special focus is set on a dimensionless description in order to deduce information for a wide range of system’s specifications.
The structure, consisting of a timber slab, a floating floor and a suspended ceiling, is built up in a Finite Element model, where the material properties of wood and the characteristics of the system (e.g.support conditions, contact phenomena dynamic properties of individual parts) are considered.
The model is parameterized in order to enable computations with varying geometry and material parameters.
After calibrating the FE-model with the help of measurements using model updating techniques dimensionless parameters are defined based on the Buckingham-π- Theorem and computations are carried out in order to specify guidelines for various systems. The radiation of sound is computed in a post processing using Integral Transform Methods.
A trend towards lightweight structures, e.g. timber structures, is noticeable in civil engineering, which implies the necessity to predict vibroacoustic characteristics like the transmission of structure-borne sound in order to fulfil requirements regarding serviceability. This contribution focuses on the investigation of junctions of building components e.g. between wall and ceiling. It is part of a joint research project with the aim to catalogue the coupling for a variety of junctions. The resulting database may serve to predict the transmission of structure-borne sound which is typically carried out either using a Finite Element (FEM) approach, suitable for the low frequency range, or by means of energy methods like the Statistical Energy Analysis (SEA) for the high frequency range. Therefore the so-called mid frequency gap emerges, which is examined and attempted to be closed. In this context SEA-averaging techniques are applied in the postprocessing of FEM calculations to obtain an adapted “SEAlike” approach. By varying the subsystems to be excited it is possible to determine Energy Influence Coefficients (EIC), which describe the specific energy content of the different subsystems with respect to the input power. Using this hybrid approach vibroacoustic predictions can be performed also in the mid frequency range. Inverting the EIC-matrix Coupling Loss Factors as well as Damping Loss Factors of the different subsystems can be calculated if the subsystem definition fulfils the SEA-requirements. The application of the method in combination to a classical SEA calculation and to laboratory measurements is presented.
It is common for timber ceiling constructions to include a suspended ceilings made of plasterboard. In order to minimize the radiation from impact excitation, especially in the low frequency range below 100 Hz, a detailed analysis of the vibration behaviour was necessary.
An experimental modal analysis was carried out and the radiated sound power from the suspended ceiling was measured using a sweep sine excitation by a shaker connected to the top layer of the timber floor construction.
Since the experimental modal analysis was conducted using a high frequency resolution and with a non-stationary sound field, it was necessary to check the validity of the intensity measurements by comparing it with 1/3-octave band measurements. The results show very good agreement.
By this means the radiation efficiency can be measured simultaneously with an experimental modal analysis of a structure.
Measured transmission functions from structure-borne sound sources in a timber-frame construction
(2015)
The aim of prEN 15657-2 is to provide engineering methods to estimate the structure-borne sound power input from machinery in situations where the source mobility matches or is lower than the receiver mobility. This situation often affects lightweight constructions such as timber-frame buildings. To estimate the sound pressure level in a room that is adjacent or distant from the room containing the source, the installed structure-borne sound power has to be propagated across at least one junction in the timber-frame construction. However, at present there are no generic, validated calculation models due to the complexity and the large variety of timber-frame constructions. A simplified approach to investigate and compare the structure-borne sound transmission is to treat the framed construction as a black box and only consider one parameter, a transmission function which is the ratio of the sound pressure level in the receiving room to the injected structure-borne sound power level. To get information about the variation of this transmission function in different timber-frame constructions, measurements were made in both the laboratory and the field. Experimental results are presented showing the variation due to different building configurations and the effect of the excitation position on the transmission function.
The method is based on a simplified Statistical Energy Analysis(SEA) approach. The energy ratios of various subsystems are the main quantities to predict sound transmission. The method has proven to work sufficiently accurate for masonry and concrete buildings, where the building components like walls, floors etc. can be regarded as rather homogeneous structures. To adapt this method for solid timber constructions it is necessary to prove that basic SEA requirements are fullfilled by orthotropic materials and heterogeneous structures that occur in these building types. In a case study, an isolated T-junction formed by Cross Laminated Timber(CLT) elements is experimentally investigated. The buildings elements are subdivided in segments with typical screwed connections.
In the experiments the diffusivity of the vibration field is investigated, using point excitation with a shaker at several positions and many, randomly chosen response positions. MONTE-CARLO simulations are conducted for random but fix-sized subsets of the measured response positions to find the necessary number of response positions for an accurate determination of the vibrational energy.
As a result the distribution of the mean velocity levels can be approximated.
In a second approach a multiple linear regression model based on the least absolute shrinkage and selection operator(LASSO)is applied, because for lower frequency bands multicollinearity is expected.
In the context of linear regression modelling, data-driven methods are used to select optimal subsets of response positions, to get an estimating equation.
Experimental investigations on the sound transmission of drywall constructions at low frequencies
(2009)
Competitive wooden floor systems - multi-objective optimization based on acoustics improvement
(2013)
The objective of this research project is the design of lightweight timber floor systems which have similar thicknesses to those of concrete floors but which perform better than concrete in terms of their environmental life cycle impact and in terms of airborne and impact sound insulation.
The availability of superior lightweight acoustic designs will increase the share of timber based floors within the Swiss construction market and will contribute to higher wood utilization in general.
A program for systematically developing validated finite element models for the development of lightweight timber floor systems has been proposed.
The use of Swiss hardwoods in floor systems will be studied and implemented where possible. Keywords: lightweight timber, sound transmission, impact noise
Within the scope of the recently finished cooperate research project "VibWood" at Technical University of Munich and Rosenheim University of Applied Sciences, fully parametrized numerical models for lightweight wooden floor constructions have been developed and calibrated by experimental modal analyses.
Based on a vast parametric study including floating floors and suspended ceilings a database of narrowband sound power levels in the frequency range up to 125 Hz for a wide range of floor dimensions has been set up.
A procedure will be presented on how to process the numerical data and derive single number values that allow a comparison to the standardized rating of impact sound insulation according to DIN EN ISO 717-2.
The derived data is implemented into a graphical user interface (GUI). This GUI is available for free. The database is open for additional geometries and will be enhanced by different constructions in the near future.