Probabilistic Analysis of Modal Properties for Floor Systems with Uncertain Support Conditions

Lars Vabbersgaard Andersen, Christian Frier, Lars Pedersen

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1 Citationer (Scopus)

Abstrakt

Traffic and construction work as well as internal sources may cause vibration of floors in buildings. Potentially, this leads to annoyance for people living or working in the buildings—especially when resonance occurs as a result of excitation frequencies coinciding with eigenfrequencies of the floors. Hence, proper design of floors requires insight into the dynamic properties of the system in order to avoid resonance. In this context, the boundary conditions for the floor—or the connections to the main structure—play an important role. A floor clamped along the entire edge reacts differently than a floor which is simply supported. However, whereas the floor system may well be described in terms of material and geometry, an assessment of the supports can be difficult. Often, calculated eigenmodes and eigenfrequencies do not match those identified for a real floor system and this is, to a great extent, due to uncertain and poorly described supports. Hence, the paper suggests a probabilistic approach focussing on the dynamic properties of the floor given uncertain support conditions. Especially, a rectangular concrete floor, representative of a floor in an office or residential building, is assessed regarding its eigenfrequencies. A stochastic model is introduced for the rotational stiffness of the supports, and a numerical analysis is performed in order to quantify how uncertainty related to the supports for the floor system transfers into uncertainty of its eigenfrequencies.
OriginalsprogEngelsk
TitelDynamics of Civil Structures, Volume 2 - Proceedings of the 36th IMAC, A Conference and Exposition on Structural Dynamics 2018 : Proceedings of the 36th IMAC, A Conference and Exposition on Structural Dynamics 2018
RedaktørerShamim Pakzad
Antal sider9
Vol/bind2
ForlagSpringer
Publikationsdato2019
Sider67-75
Kapitel10
ISBN (Trykt)978-3-319-74420-9
ISBN (Elektronisk)978-3-319-74421-6
DOI
StatusUdgivet - 2019
BegivenhedIMAC XXXVI, A Conference and Exposition on Structural Dynamics 2018 - Orlando, USA
Varighed: 12 feb. 201815 feb. 2018
Konferencens nummer: 36

Konference

KonferenceIMAC XXXVI, A Conference and Exposition on Structural Dynamics 2018
Nummer36
LandUSA
ByOrlando
Periode12/02/201815/02/2018
NavnConference Proceedings of the Society for Experimental Mechanics Series
ISSN2191-5644

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Citationsformater

Vabbersgaard Andersen, L., Frier, C., & Pedersen, L. (2019). Probabilistic Analysis of Modal Properties for Floor Systems with Uncertain Support Conditions. I S. Pakzad (red.), Dynamics of Civil Structures, Volume 2 - Proceedings of the 36th IMAC, A Conference and Exposition on Structural Dynamics 2018: Proceedings of the 36th IMAC, A Conference and Exposition on Structural Dynamics 2018 (Bind 2, s. 67-75). Springer. Conference Proceedings of the Society for Experimental Mechanics Series https://doi.org/10.1007/978-3-319-74421-6_10