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Efficient Modelling Techniques for Vibration Analyses of Railway Bridges
KTH, School of Architecture and the Built Environment (ABE), Civil and Architectural Engineering, Structural Engineering and Bridges.
2017 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

The world-wide development of new high-speed rail lines has led to more stringent design requirements for railway bridges, mainly because high-speed trains can cause resonance in the bridge superstructure. Dynamic simulations, often utilising time-consuming finite element analysis (FEA), have become essential for avoiding such problems. Therefore, guidelines and tools to assist structural engineers in the design process are needed.

Considerable effort was spent at the beginning of the project, to develop simplified models based on two-dimensional (2D) Bernoulli-Euler beam theory. First, a closed-form solution for proportionally damped multi-span beam, subjected to moving loads was derived (Paper I). The model was later used to develop design charts (Paper II) and study bridges on existing railway lines (Paper III). The model was then extended to non-proportionally damped beams (Paper IV) in order to include the effects of soil-structure interactions. Finally, the importance of the interaction between the surrounding soil and the bridge was verified by calibrating a finite element (FE) model by means of forced vibration tests of an end-frame bridge (Paper V).

Recommendations on how to use the models in practical applications are discussed throughout the work. These recommendations include the effects of shear deformation, shear lag, train-bridge and soil-structure interactions, for which illustrative examples are provided. The recommendations are based on the assumption that the modes are well separated, so that the response at resonance is governed by a single mode.

The results of the work show that short span bridges, often referred to as `simple´ bridges, are the most problematic with respect to dynamic effects. These systems are typically, non-proportionally damped systems that require detailed analyses to capture the `true´ behaviour. Studying this class of dynamic system showed that they tend to contain non-classical modes that are important for the structure response. For example, the bending mode is found to attain maximum damping when its undamped natural frequency is similar to that of a non-classical mode.

Place, publisher, year, edition, pages
KTH Royal Institute of Technology, 2017. , p. 111
Series
TRITA-BKN. Bulletin, ISSN 1103-4270 ; 145
Keywords [en]
Railway bridge, High-speed train, Closed-form solution, Non-proportional damping, Complex mode
National Category
Infrastructure Engineering
Identifiers
URN: urn:nbn:se:kth:diva-201647OAI: oai:DiVA.org:kth-201647DiVA, id: diva2:1073647
Public defence
2017-02-24, Kol, Brinellvägen 8, Stockholm, 13:30 (English)
Opponent
Supervisors
Note

QC 20170213

Available from: 2017-02-13 Created: 2017-02-12 Last updated: 2017-02-13Bibliographically approved
List of papers
1. Closed-form solution for the mode superposition analysis of the vibration in multi-span beam bridges caused by concentrated moving loads
Open this publication in new window or tab >>Closed-form solution for the mode superposition analysis of the vibration in multi-span beam bridges caused by concentrated moving loads
2013 (English)In: Computers & structures, ISSN 0045-7949, E-ISSN 1879-2243, Vol. 119, p. 85-94Article in journal (Refereed) Published
Abstract [en]

In this paper, a closed-form solution for evaluating the dynamical behavior of a general multi-span Bernoulli-Euler beam is derived. The natural frequencies of vibration and corresponding mode shapes are obtained by applying the boundary conditions to the characteristic function of a beam. A Laplace transformation is applied to the governing differential equation which is then solved for each normal mode in the frequency domain. The main contribution of this paper is to provide a closed-form solution for the vibration of continuous stepped beams under constant moving loads. Several numerical examples are included.

Keywords
Dynamic, Vibration, Railway bridge, High-speed train, Multi-span beam, Moving load
National Category
Other Civil Engineering
Identifiers
urn:nbn:se:kth:diva-122104 (URN)10.1016/j.compstruc.2013.01.003 (DOI)000317171000008 ()2-s2.0-84873620203 (Scopus ID)
Note

QC 20130514

Available from: 2013-05-14 Created: 2013-05-13 Last updated: 2017-12-06Bibliographically approved
2. Development of design curves for preliminary dynamic assessment of railway bridges to higher speeds
Open this publication in new window or tab >>Development of design curves for preliminary dynamic assessment of railway bridges to higher speeds
(English)In: The International Journal of Railway Technology, ISSN 2049-5358Article in journal (Refereed) Accepted
Abstract [en]

Resonance vibrations of railway bridges have become an important design issue during the last decade due to the development of new high–speed lines. From a designers point of view, this often requires that the bridge is analysed with a finite element software, resulting in long runtimes. The present paper presents design curves to calculate the maximum acceleration, displacement and angular rotation in multi-span bridges, during passages of high-speed trains. The design curves can preferably be used for conceptual design or to evaluate an existing network of bridges. Two numerical examples are included to validate the method and to show possible applications

National Category
Infrastructure Engineering
Identifiers
urn:nbn:se:kth:diva-122435 (URN)
Note

QS 2013

Available from: 2013-05-21 Created: 2013-05-21 Last updated: 2017-02-12Bibliographically approved
3. A methodology for the preliminary assessment of existing railway bridges for high-speed traffic
Open this publication in new window or tab >>A methodology for the preliminary assessment of existing railway bridges for high-speed traffic
2014 (English)In: Engineering structures, ISSN 0141-0296, E-ISSN 1873-7323, Vol. 58, p. 25-35Article in journal (Refereed) Published
Abstract [en]

The Swedish government is considering upgrading the train speed along three railway lines in the Southern part of Sweden from 200 km/h to 250 km/h. According to the current design code, this requires that the bridges be examined with dynamic simulations to avoid excessive vibrations. This paper employs a method that can be used at an early stage to estimate the expected cost of upgrading a bridge network. The results revealed that 70% of the plate/beam bridges, 64% of the closed slab-frame bridges, and 41% of the open slab-frame bridges are expected to not fulfill the requirement on the maximum bridge deck acceleration for ballasted tracks.

Keywords
Dynamic, Vibration, Railway bridge, High-speed train, Assessment, Bridge network
National Category
Infrastructure Engineering
Identifiers
urn:nbn:se:kth:diva-143461 (URN)10.1016/j.engstruct.2013.10.011 (DOI)000331433000003 ()2-s2.0-84887570192 (Scopus ID)
Note

QC 20140325

Available from: 2014-03-25 Created: 2014-03-21 Last updated: 2017-12-05Bibliographically approved
4. Vibration of damped uniform beams with general end conditions under moving loads
Open this publication in new window or tab >>Vibration of damped uniform beams with general end conditions under moving loads
Show others...
2016 (English)In: Engineering structures, ISSN 0141-0296, E-ISSN 1873-7323, Vol. 126, p. 40-52Article in journal (Refereed) Published
Abstract [en]

In this paper, an analytical solution for evaluating the dynamic behaviour of a non-proportionally damped Bernoulli–Euler beam under a moving load is derived. The novelty of this paper, when compared with other publications along this line of work is that general boundary conditions are assumed throughout the derivation. Proper orthogonality conditions are then derived and a closed form solution for the dynamical response for a given eigenmode is developed. Based on this, the dynamical response of the system to any load can be determined by mode superposition. The proposed method is particularly useful for studying various types of damping mechanisms in bridges, such as soil–structure interaction, external dampers, and material damping. Several numerical examples are presented to validate the proposed method and provide insight into the problem of non-proportionally damped systems. The numerical examples also allow for some interesting observations concerning the behaviour of modal damping for closely spaced modes (with respect to undamped natural frequencies).

Place, publisher, year, edition, pages
Elsevier, 2016
Keywords
Bernoulli–Euler beam, Complex mode, Moving load, Non-proportional damping, Damping, Closed form solutions, Complex modes, Euler beam, General boundary conditions, Mode superposition, Nonproportional damping, Orthogonality conditions, Numerical methods, analytical method, dynamic response, soil-structure interaction, vibration
National Category
Civil Engineering
Identifiers
urn:nbn:se:kth:diva-195219 (URN)10.1016/j.engstruct.2016.07.037 (DOI)000384861500004 ()2-s2.0-84982706028 (Scopus ID)
Funder
Swedish Transport Administration
Note

QC 20161117

Available from: 2016-11-17 Created: 2016-11-02 Last updated: 2017-11-29Bibliographically approved
5. Model Updating of a Railway Bridge Using Frequency Response Functions and a Reduced Order Model
Open this publication in new window or tab >>Model Updating of a Railway Bridge Using Frequency Response Functions and a Reduced Order Model
Show others...
(English)Article in journal (Refereed) Submitted
National Category
Infrastructure Engineering
Identifiers
urn:nbn:se:kth:diva-201646 (URN)
Note

QCR 20170213

Available from: 2017-02-12 Created: 2017-02-12 Last updated: 2017-02-13Bibliographically approved

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