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Für einen Ergebnistransfer in die Wirtschaft ist geplant, die Berechnungsergebnisse in Form eines interaktiv bedienbaren Programms mit einer grafischen Eingabeoberfläche zur Verfügung zu stellen, da die Zahl der erarbeiteten Nomogramme sehr groß ist. Abbildung 11 zeigt einen Entwurf. Auswählbar für den Anwender sind das Holzdeckensystem in den möglichen Ausbauzuständen eines schwimmenden Estrichs und einer abgehängten Unterdecke sowie die geometrischen Abmessungen der Decke. Weiterhin kann die Anregungsart der Decke variiert werden; es besteht die Möglichkeit zur Wahl zwischen einer Anregung mit dem Normhammerwerk, einem Fußgänger sowie einer benutzereigenen, spektral vorzugebenden Anregungsart. Als Ergebnis wird der abgestrahlte Schallleistungspegel berechnet. Neu aufgenommen wurde die Berechnung des Schwingungsnachweises nach EC5 [6] bzw. der modifizierte Nachweis nach Hamm/Richter [5]. Aus der linearen Frequenzdarstellung des Schallleistungspegels kann die erste Eigenfrequenz für den Gebrauchstauglichkeitsnachweis abgelesen werden, für schalltechnische Belange erfolgt die Darstellung des Schallleistungspegels als Terzspektrum.
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.
The multi-disciplinary research project “Vibroacoustic analysis in the planning process of timber constructions“ carried out in cooperation between the University of Applied Sciences Rosenheim, the ift Rosenheim and the Technical University Munich is a comprehensive study of direct as well as flanking structure-borne and airborne sound insulation of Cross Laminated Timber (CLT) elements and their junctions.
The aim is to optimize and simplify the acoustical planning process of wooden multi-storey buildings and thereby to contribute to the increase growth of timber construction industry in Europe. For a prediction of the acoustical performance of solid wood constructions, the vibration reduction index Kij is needed.
The vibration reduction index can be determined i.a. of the direction-averaged junction velocity level difference and the structural reverberation time. Both quantities need to be measured according to EN ISO 10848.
Alternatively, vibration reduction indices for a T- or cross-junction can be derived following the procedures described in prEN ISO 12354-1:2016. However, further knowledge and data of the sound transmission across junctions of CLT is inevitable for a reliable prediction.
In this paper a collection of frequency dependent vibration reduction indices for CLT structures will be presented and compared, involving L-, T- and cross-junctions measured by six international laboratories.