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Dynamic analysis of a pedestrian timber truss bridge at three construction stages
KTH, School of Architecture and the Built Environment (ABE), Civil and Architectural Engineering, Structural Engineering and Bridges.ORCID iD: 0009-0002-1067-9697
KTH, School of Architecture and the Built Environment (ABE), Civil and Architectural Engineering, Structural Engineering and Bridges.ORCID iD: 0000-0003-2104-382X
KTH, School of Architecture and the Built Environment (ABE), Civil and Architectural Engineering, Building Materials.ORCID iD: 0000-0002-5347-4467
2024 (English)In: Structures, E-ISSN 2352-0124, Vol. 59, article id 105763Article in journal (Refereed) Published
Abstract [en]

This article investigates the dynamic behaviour of a single span pedestrian timber truss bridge by in situ testing and numerical modelling. The in situ dynamic tests were performed at three different construction stages: (1) on only the truss structure, (2) on the finished bridge without the asphalt layer and (3) on the finished bridge with the asphalt layer. The objective is to better understand how the different parts of the bridge contribute to the overall dynamic properties. The experimental results show that the damping ratios increased significantly for the first lateral mode (from 1.0 to 3.8%) and the first torsional mode (from 1.2 to 3.5%) between stage 2 and stage 3 due to the asphalt layer. The damping ratio is around 1.6% for the first bending mode for the finished bridge. The experimental and numerical results indicate that the stiffness of the asphalt layer is important to consider at stage 3 (10 degrees C) for the first lateral and torsional mode, but not for the first bending mode. Finally, it was concluded that longitudinal springs must be applied at the pot bearings in order to get agreement with the experimental results at all the three stages.

Place, publisher, year, edition, pages
Elsevier BV , 2024. Vol. 59, article id 105763
Keywords [en]
Pedestrian bridge, Timber, Railings, Asphalt, Dynamic analysis, Finite element modelling
National Category
Infrastructure Engineering
Identifiers
URN: urn:nbn:se:kth:diva-343061DOI: 10.1016/j.istruc.2023.105763ISI: 001141906800001Scopus ID: 2-s2.0-85185840720OAI: oai:DiVA.org:kth-343061DiVA, id: diva2:1835480
Note

Not duplicate with DiVA 1741105

QC 20240206

Available from: 2024-02-06 Created: 2024-02-06 Last updated: 2025-11-18Bibliographically approved
In thesis
1. Dynamics of pedestrian timber bridges: Experimental and numerical analyses at various stages of construction
Open this publication in new window or tab >>Dynamics of pedestrian timber bridges: Experimental and numerical analyses at various stages of construction
2025 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

Construction of pedestrian timber bridges is an important step towards creating a more sustainable future. However, bridges with resonance frequencies close to the pedestrian pacing frequencies can be susceptible to uncomfortable vibrations. Previous research work has shown that numerical models often require specific adjustments to agree with experimental results. The purpose of the present research project has therefore been to perform experimental and numerical dynamic analyses of five pedestrian timber bridges at different construction stages to increase the general knowledge regarding the implementation of more accurate finite element models.

The results showed that calibration of the longitudinal stiffness at the supports were required for the girder and truss bridges in Papers I-II. The connection stiffnesses between the timber members were required to calibrate the truss and arch bridges in Papers III-IV. The stiffness of the pile foundations was implemented in Paper III to calibrate the first bending mode. A simplified model of the pile foundations by modelling the soil with springs provided adequate results compared to a detailed model with solid elements. The partial composite action of the mechanically connected arch segments and vertical web members was quantified from laboratory experiments and was subsequently implemented in the numerical model of the finished arch bridge in Paper IV, which reduced the stiffness of the first lateral and torsional modes. The reduced axial stiffness of the stays due to their deformed catenary shape was implemented to fine-tune the first bending mode for the cable-stayed bridge in Paper V. The asphalt could generally be modelled as a mass at warm temperatures, but consideration of the asphalt stiffness was required at cold temperatures. Certain structural aspects such as the asphalt continuity at bridge ends and continuity between individual cross-laminated timber elements were also introduced. Railings with in-plane stiffness affected the mass and stiffness of the bridges equally much. The damping ratios typically increased with an asphalt layer on the bridge, especially for modes of vibration with large deformation of the asphalt. These damping ratios were in many cases considerably higher than the values from technical guidelines.

Several model uncertainties were identified and discussed such as the variability in material properties and stiffness definitions as well as climate variations between the construction stages. However, the aforementioned main factors that affected the dynamic properties of each bridge were established. The main conclusion is that most bridges required detailed consideration of certain structural aspects to achieve calibrated results. 

Abstract [sv]

Konstruktion av gång- och cykelbroar i trä är ett viktigt steg mot att skapa en mer hållbar framtid. Broar med resonansfrekvenser i närheten av gångfrekvenserna för gångtrafikanter kan emellertid vara känsliga för obekväma vibrationer. Tidigare forskning har visat att numeriska modeller ofta kräver specifika justeringar för att överrensstämma med de experimentella resultaten. Syftet med det aktuella forskningsprojektet har därför varit att genomföra experimentella och numeriska dynamiska analyser av fem gång- och cykelbroar i trä vid olika konstruktionsskeden för att förbättra den generella kunskapen kring implementering av mer exakta finita element modeller.

Resultaten visade att kalibrering av longitudinell styvhet vid brostöden behövdes för balk- och fackverksbroarna i Artiklarna I-II. Styvheter vid anslutningarna mellan de olika träelementen behövdes för att kalibrera fackverks- och bågbroarna i Artiklarna III-IV. Styvheten för pålfundamenten implementerades i Artikel III för att kalibrera den första böjningsmoden. En förenklad modell för pålfundamenten där jorden modellerades med fjädrar gav adekvata resultat jämfört med en detaljerad modell med solida element. Den partiella samverkan för de mekaniskt sammansatta bågsegmenten och vertikala stagen kvantifierades från experiment i laboratorie och implementerades följdaktligen i den numeriska modellen av den färdiga bågbron i Artikel IV, vilket reducerade styvheten för den första laterala moden och den första vridmoden. Den reducerade axiella styvheten för snedstagen till följd av deras deformerade kedjeform implementerades för att finjustera den första böjmoden för snedkabelbron i Artikel V. Asfalten kunde generellt bli modellerad som en massa vid varma temperaturer, medan beaktande av asfaltens styvhet krävdes vid kalla temperaturer. Särskilda strukturella aspekter såsom asfaltens kontinuitet över broändarna samt kontinuitet mellan individuella korslimmade träelement blev också presenterat. Räcken med styvhet i planet påverkade massan och styvheten av broarna lika mycket. Dämpningsfaktorerna ökade generellt sett med ett asfaltslager på bron, i synnerhet för vibrationsmoder med stor deformation av asfalten. Dessa dämpningsfaktorer var i många fall betydligt högre än värdena från tekniska normer.

Åtskilliga osäkerheter identifierades och diskuterades såsom variabiliteten i materialegenskaperna och formuleringen av styvheterna samt variationer i klimatet mellan konstruktionsstegen. De ovannämnda viktigaste faktorerna som påverkade de dynamiska egenskaperna för varje bro blev emellertid fastställda. Den främsta slutsatsen är att de flesta broarna behövde detaljerat beaktande av vissa strukturella aspekter för att uppnå kalibrerade resultat. 

Place, publisher, year, edition, pages
Stockholm: KTH Royal Institute of Technology, 2025. p. 90
Series
TRITA-ABE-DLT ; 2545
Keywords
Pedestrian timber bridge, Experimental modal damping ratio, Dynamic finite element analysis, Slip modulus, Axial withdrawal stiffness, Partial composite action, Soil-structure interaction, Asphalt layer, Gång- och cykelbro i trä, Experimentell modal dämpning, Dynamisk finita element analys, Förskjutningsmodul, Axiell utdragsstyvhet, Partiell samverkan, Jord-bro interaktion, Asfaltlager
National Category
Structural Engineering
Research subject
Civil and Architectural Engineering, Structural Engineering and Bridges
Identifiers
urn:nbn:se:kth:diva-373014 (URN)978-91-8106-488-9 (ISBN)
Public defence
2025-12-15, Kollegiesalen, Brinellvägen 8, KTH Campus, public video conference link https://kth-se.zoom.us/j/64248423433, Stockholm, 12:30 (English)
Opponent
Supervisors
Funder
Swedish Transport Administration, 2022-021J. Gust. Richert stiftelse, 2020-00611
Note

QC 20251121

Available from: 2025-11-21 Created: 2025-11-18 Last updated: 2025-12-08Bibliographically approved

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Bergenudd, JensBattini, Jean-MarcCrocetti, Roberto

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