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

Lars Vabbersgaard Andersen, Christian Frier, Lars Pedersen

Publikation: Bidrag til bog/antologi/rapport/konference proceedingKonferenceartikel i proceedingForskningpeer review

1 Citation (Scopus)

Resumé

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 : Proceedings of the 36th IMAC, A Conference and Exposition on Structural Dynamics 2018
RedaktørerShamim Pakzad
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

Fingerprint

Stochastic models
Concrete construction
Numerical analysis
Stiffness
Boundary conditions
Geometry
Uncertainty

Emneord

  • Floor
  • Vibration
  • Finite-Element Model
  • Partial fixity
  • Uncertainty

Citer dette

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: 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
Vabbersgaard Andersen, Lars ; Frier, Christian ; Pedersen, Lars. / Probabilistic Analysis of Modal Properties for Floor Systems with Uncertain Support Conditions. Dynamics of Civil Structures: Proceedings of the 36th IMAC, A Conference and Exposition on Structural Dynamics 2018. red. / Shamim Pakzad. Bind 2 Springer, 2019. s. 67-75 (Conference Proceedings of the Society for Experimental Mechanics Series).
@inproceedings{31ffe2cd5bd6405588d3ccc4649e891b,
title = "Probabilistic Analysis of Modal Properties for Floor Systems with Uncertain Support Conditions",
abstract = "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.",
keywords = "Floor, Vibration, Finite-Element Model, Partial fixity, Uncertainty, Floor, Vibration, Finite-Element Model, Partial fixity, Uncertainty",
author = "{Vabbersgaard Andersen}, Lars and Christian Frier and Lars Pedersen",
year = "2019",
doi = "10.1007/978-3-319-74421-6_10",
language = "English",
isbn = "978-3-319-74420-9",
volume = "2",
pages = "67--75",
editor = "Shamim Pakzad",
booktitle = "Dynamics of Civil Structures",
publisher = "Springer",
address = "Germany",

}

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: Proceedings of the 36th IMAC, A Conference and Exposition on Structural Dynamics 2018. bind 2, Springer, Conference Proceedings of the Society for Experimental Mechanics Series, s. 67-75, Orlando, USA, 12/02/2018. https://doi.org/10.1007/978-3-319-74421-6_10

Probabilistic Analysis of Modal Properties for Floor Systems with Uncertain Support Conditions. / Vabbersgaard Andersen, Lars; Frier, Christian; Pedersen, Lars.

Dynamics of Civil Structures: Proceedings of the 36th IMAC, A Conference and Exposition on Structural Dynamics 2018. red. / Shamim Pakzad. Bind 2 Springer, 2019. s. 67-75.

Publikation: Bidrag til bog/antologi/rapport/konference proceedingKonferenceartikel i proceedingForskningpeer review

TY - GEN

T1 - Probabilistic Analysis of Modal Properties for Floor Systems with Uncertain Support Conditions

AU - Vabbersgaard Andersen, Lars

AU - Frier, Christian

AU - Pedersen, Lars

PY - 2019

Y1 - 2019

N2 - 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.

AB - 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.

KW - Floor

KW - Vibration

KW - Finite-Element Model

KW - Partial fixity

KW - Uncertainty

KW - Floor

KW - Vibration

KW - Finite-Element Model

KW - Partial fixity

KW - Uncertainty

UR - https://doi.org/10.1007/978-3-319-74421-6

U2 - 10.1007/978-3-319-74421-6_10

DO - 10.1007/978-3-319-74421-6_10

M3 - Article in proceeding

SN - 978-3-319-74420-9

VL - 2

SP - 67

EP - 75

BT - Dynamics of Civil Structures

A2 - Pakzad, Shamim

PB - Springer

ER -

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