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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.
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.
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
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.
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
Im Rahmen des AIF-Forschungsprojektes VibWood werden im Deckenprüfstand der HS Rosenheim unterschiedliche Holzdeckenkonstruktionen hinsichtlich ihres Schwingungsverhaltens im Bereich zwischen 4 Hz und 200 Hz untersucht. Parallel dazu werden diese Holzdeckenkonstruktionen an der TU München mittels FE-Berechnungen modelliert. Für die Untersuchungen steht ein Prüfstand zur Verfügung, welcher die Möglichkeit bietet, Decken oder Deckenelemente mit Abmessungen von max. 5,5 m x 5,5 m auf einer Stahlwinkelkonsole aufzulagern. Die Deckenelemente können so durch Messung der Übertragungsfunktionen hinsichtlich ihrer Schwingungsformen untersucht werden. Ein Ziel der Untersuchungen ist es, die tieffrequenten Schwingungen von Holzdecken mit Hilfe von Schwingungstilgern deutlich zu reduzieren. Es werden erste Ergebnisse der Validierung der FE-Modelle vorgestellt, insbesondere der Einfluss der Auflagerung der Deckenelemente auf die Übertragungsfunktion. Weiterhin werden Messergebnisse für unterschiedliche Anregungsarten diskutiert
Es wurden Stoßstellendämm-Maße Kij für verschiedene Bauteilverbindungen von BSPH-Elementen gemessen. Diese zeigen eine gute Übereinstimmung zu anderen Werten aus der Literatur.
Bei den Stoßstellen wurde der Einfluss von Elastomerlagern untersucht.
Die Ergebnisse zeigen einen deutlichen Einfluss auf die Kij. Eine Berechnung der Kij mithilfe von Kopplungsverlustfaktoren ηij, welche aus einem SEAModell resultieren, zeigen eine ausreichende Übereinstimmung.
Weitere Schritte der Modellierung zur Überprüfung dieser Erkenntnisse und zur Abbildung von Elastomeren sind notwendig. Der Beitrag ist Teil des gemeinsam von der TU München, der HS Rosenheim und dem ift Rosenheim durchgeführten DFG-AiF Forschungsvorhabens Vibroakustik im Planungsprozess für Holzbauten.
Das IGF-Vorhaben 17328 N/1 der Forschungsvereinigung HS Rosenheim wurde über die AiF im Rahmen des Programms zur Förderung der Industriellen Gemeinschaftsforschung (IGF) vom Bundesministerium für Wirtschaft und Energie aufgrund eines Beschlusses des Deutschen Bundestages gefördert.
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.
Die mithilfe der Abklingmethode ermittelten Verlustfaktoren sind bei mehreren Eigenfrequenzen pro Frequenzband zuverlässig. Die Ergebnisse der Resonanzbreitenmethode beziehen sich dagegen auf die Eigenfrequenzen und sind nur bei einer geringen Modenüberlappung zuverlässig. Beide Methoden sind gleichwertig, wenn mehrere Eigenschwingungen im Frequenzband vorhanden sind und die Modenüberlappung gleichzeitig gering ist. Für einseitig überlagerte Resonanzkurven wurde eine einfache Alternative der Resonanzbreitenmethode vorgeschlagen.
Die Ergebnisse wurden im Rahmen des gemeinsam von der TU München, der HS Rosenheim und dem ift Rosenheim durchgef¨uhrten DFG-AiF Forschungsvorhabens ”Vibroakustik im Planungsprozess für Holzbauten” erarbeitet. Das IGF-Vorhaben 17328N/1 der Forschungsvereinigung HS Rosenheim wurde über die AiF im Rahmen des Programms zur Förderung der Industriellen Gemeinschaftsforschung (IGF) vom Bundesministerium für Wirtschaft und Energie aufgrund eines Beschlusses des Deutschen Bundestages gefördert.