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

Lars Vabbersgaard Andersen, Christian Frier, Lars Pedersen

Research output: Contribution to book/anthology/report/conference proceedingArticle in proceedingResearchpeer-review

1 Citation (Scopus)

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.
Original languageEnglish
Title of host publicationDynamics of Civil Structures : Proceedings of the 36th IMAC, A Conference and Exposition on Structural Dynamics 2018
EditorsShamim Pakzad
Volume2
PublisherSpringer
Publication date2019
Pages67-75
Chapter10
ISBN (Print)978-3-319-74420-9
ISBN (Electronic)978-3-319-74421-6
DOIs
Publication statusPublished - 2019
EventIMAC XXXVI, A Conference and Exposition on Structural Dynamics 2018 - Orlando, United States
Duration: 12 Feb 201815 Feb 2018
Conference number: 36

Conference

ConferenceIMAC XXXVI, A Conference and Exposition on Structural Dynamics 2018
Number36
CountryUnited States
CityOrlando
Period12/02/201815/02/2018
SeriesConference Proceedings of the Society for Experimental Mechanics Series
ISSN2191-5644

Fingerprint

Stochastic models
Concrete construction
Numerical analysis
Stiffness
Boundary conditions
Geometry
Uncertainty

Keywords

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

Cite this

Vabbersgaard Andersen, L., Frier, C., & Pedersen, L. (2019). Probabilistic Analysis of Modal Properties for Floor Systems with Uncertain Support Conditions. In S. Pakzad (Ed.), Dynamics of Civil Structures: Proceedings of the 36th IMAC, A Conference and Exposition on Structural Dynamics 2018 (Vol. 2, pp. 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. editor / Shamim Pakzad. Vol. 2 Springer, 2019. pp. 67-75 (Conference Proceedings of the Society for Experimental Mechanics Series).
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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.",
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Vabbersgaard Andersen, L, Frier, C & Pedersen, L 2019, Probabilistic Analysis of Modal Properties for Floor Systems with Uncertain Support Conditions. in S Pakzad (ed.), Dynamics of Civil Structures: Proceedings of the 36th IMAC, A Conference and Exposition on Structural Dynamics 2018. vol. 2, Springer, Conference Proceedings of the Society for Experimental Mechanics Series, pp. 67-75, IMAC XXXVI, A Conference and Exposition on Structural Dynamics 2018, Orlando, United States, 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. ed. / Shamim Pakzad. Vol. 2 Springer, 2019. p. 67-75.

Research output: Contribution to book/anthology/report/conference proceedingArticle in proceedingResearchpeer-review

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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.

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M3 - Article in proceeding

SN - 978-3-319-74420-9

VL - 2

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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. In Pakzad S, editor, Dynamics of Civil Structures: Proceedings of the 36th IMAC, A Conference and Exposition on Structural Dynamics 2018. Vol. 2. Springer. 2019. p. 67-75. (Conference Proceedings of the Society for Experimental Mechanics Series). https://doi.org/10.1007/978-3-319-74421-6_10