| 1. |
- Colmenares, Daniel
(författare)
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On the dynamics of footbridges : A theoretical approach and a comparison between running and walking loads
- 2021
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Licentiatavhandling (övrigt vetenskapligt/konstnärligt)abstract
- The dynamic behaviour of lightweight footbridges is often susceptible to HumanInduced Loads (HILs). Generally HILs are taken into account as moving harmonicfunctions in which the loading frequency represents the step frequency of the pedestrians.In this way, there may be resonance if the loading frequencies fall within therange of the natural frequencies of the bridge, potentially compromising the serviceabilitylimit state of the structure. Therefore, it is important to understand how toaddress and model HILs in the context of lightweight and slender structures. Furthermore,interesting effects can be considered in the field of footbridge dynamics,such as the Human Structure Interaction (HSI) effect. The HSI effect can be understoodwithin a framework in which pedestrians behave as Tuned Mass Dampers(TMDs), possibly modifying the dynamic behaviour of the footbridge. In addition,the evaluation of the dynamic response of a footbridge is usually made through atime consuming dynamic analysis using the Finite Element Method (FEM). Mostof the analysis of this type of slender structures rely on a prescribed stationary harmonicloading scenario, and this is usually done in the context of a walking crowdevent and not much attention is given to running load events.The aims of this research project are to study the influence of running and walkingloads on the dynamic response of footbridges as well as to investigate and developa closed-form method in order to simulate the dynamic behaviour of footbridgessubjected to HILs. This has been achieved by comparing different approachesin order to simulate running load events for a small number of pedestrians withrespect to experimental results (Paper I). In addition, the simply supported beamand the clamped-clamped beam (Paper II) are studied when subjected to a movingharmonic load in a closed-form framework. Then, a comparison between normalwalking and normal running conditions is made. Finally, a general closed-formsolution for the moving harmonic load problem (Paper III) is developed using the2D Bernoulli–Euler beam theory for a continuous beam system on elastic supports.The results from the study indicate that running is more critical than walking fora single pedestrian crossing, despite the fact that it is easier to achieve a steadystate condition in a normal walking event than in a normal running event. Finally,the general solution of the moving harmonic load problem is found and it can beused to solve any load spectra in the time domain, with its static component, for ageneral multi-span beam system.
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| 2. |
- Moliner, Emma, et al.
(författare)
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Track–bridge interaction effects in the acceleration and displacement response of high-speed railway bridges: Simplified vs refined modelling
- 2024
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Ingår i: Engineering structures. - : Elsevier BV. - 0141-0296 .- 1873-7323. ; 314
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Tidskriftsartikel (refereegranskat)abstract
- The prediction of structural vibrations induced by high-speed trains is crucial for designing bridge structures, as well as for the assessment of the dynamic compatibility between bridges and rolling stock in large railway networks. The computational effort involved in such dynamic compatibility checks is also large. However, obtaining an accurate prediction of the dynamic response is challenging due to numerous uncertain factors still under research. Interaction phenomena like vehicle–bridge (VBI), soil–structure (SSI), and track–bridge (TBI) interactions are crucial but complex to model, given the multitude of input parameters and the computational cost required. Therefore, the choice of a modelling approach for simulating the dynamic response of a train crossing a bridge will depend on the focus of analysis. For the purpose of sensitivity analyses – typical in early design stages –, compatibility checks (screenings), and also in non-deterministic analyses, computational cost becomes crucial. Consequently, for practical purposes interaction mechanisms are often simulated by means of simplified and conservative approaches, usually aligned with some design code recommendations. Moreover, traditional physical models, where the problem is idealised as a beam traversed by constant moving loads (travelling load model, TLM), have been commonly employed for such purposes. However, they neglect the load distributive effect of the track on the vehicle axle loads, which has proven to be relevant and beneficial, especially for short bridge spans. The main purpose of this work is thus to investigate the influence of the load spreading effect exerted by the ballasted track on the displacement and acceleration response of single-track, simply-supported (S-S) railway bridges of short-to-medium span lengths under operating conditions, since these structures are prone to experience inadmissible vibration levels under more demanding traffic conditions. A comprehensive analysis of several simplified approaches proposed by regulations and researchers is performed, plus a subsequent comparison vs. a finite element (FE) strategy to consider TBI in a refined manner. Conclusions about the adequacy of the simplified approaches are provided, along with a new data-driven formula for the prediction of the vertical displacement response in resonant conditions, that can be exploited to reduce significantly the computational effort.
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| 3. |
- Museros, Pedro, et al.
(författare)
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Dynamic behaviour of bridges under critical articulated trains : Signature and bogie factor applied to the review of some regulations included in EN 1991-2
- 2021
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Ingår i: Proceedings of the Institution of mechanical engineers. Part F, journal of rail and rapid transit. - : SAGE Publications. - 0954-4097 .- 2041-3017. ; 235:5, s. 655-675
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Tidskriftsartikel (refereegranskat)abstract
- The information contained in this paper will be of interest not only to bridge engineers, but also to train manufacturers. The article provides practical insight into the degree of coverage of real articulated trains (ATs) that Eurocode EN1991-2 guarantees. In both the design of new railway bridges, as well as in the assessment of existing ones, the importance of a detailed knowledge of the limits of validity of load models cannot be overemphasised. Being essential components of the rail transportation system, the capacity of bridges to withstand future traffic demands will be determined precisely by the load models. Therefore, accurate definition of the limits of validity of such models reveals crucial when increased speeds and/or increased axle loads are required by transportation pressing priorities. The most relevant load model for a significant portion of the bridges in high-speed railway lines is the so-called HSLM-A model, defined in EN1991-2. Their limits of validity are described in Annex E of such code. For its singular importance, the effects of vibrations induced by HSLM-A are analysed in this paper with attention to the response of simply supported bridges. This analysis is carried out in a view to determine whether the limits of validity given in Annex E of EN1991-2 cover the largest part of cases of interest. Specifically, the vibration effects of HSLM-A are compared with those of the ATs described in such Annex E, and the response is analysed in depth for simply supported bridges, which are structures especially sensitive to passing trains at high speeds. New theoretical approaches have been developed in order to undertake this investigation, including a novel, simplified expression of the train signature for ATs that is convenient for its low computational cost. The mathematical proofs are included in the first part of the paper and two separate appendices.
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| 4. |
- Svedholm, Christoffer, 1985-
(författare)
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Efficient Modelling Techniques for Vibration Analyses of Railway Bridges
- 2017
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Doktorsavhandling (övrigt vetenskapligt/konstnärligt)abstract
- 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.
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| 5. |
- Zangeneh, Abbas, et al.
(författare)
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Free vibration of viscoelastically supported beam bridges under moving loads : Closed-form formula for maximum resonant response
- 2021
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Ingår i: Engineering structures. - : Elsevier BV. - 0141-0296 .- 1873-7323. ; 244
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Tidskriftsartikel (refereegranskat)abstract
- In this paper, a closed-form approximate formula for estimating the maximum resonant response of beam bridges on viscoelastic supports (VS) under moving loads is proposed. The methodology is based on the discrete approximation of the fundamental vertical mode of a non-proportionally damped Bernoulli-Euler beam, which allows the derivation of closed-form expressions for the fundamental modal characteristics and maximum amplitude of free vibration at the mid-span of VS beams. Finally, an approximate formula to estimate maximum resonant acceleration of VS beams under passage of articulated trains has been proposed. Verification studies prove that the approximate closed-form formula estimates the resonant peaks with good accuracy and is a useful tool for preliminary assessment of railway beam bridges considering the effect of soil-structure interaction at resonance. In combination with the use of full train signatures through the Residual Influence Line (LIR) method, the proposed solution yields good results also in the lower range of speeds, where resonant sub-harmonics are more intensely reduced by damping.
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| 6. |
- Zangeneh Kamali, Abbas, 1980-, et al.
(författare)
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Free vibration of viscoelastically supported beam bridges under moving loads: Closed-form formula for maximum resonant response
- 2024
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Ingår i: Engineering structures. - Amsterdam : Elsevier. - 0141-0296 .- 1873-7323.
-
Tidskriftsartikel (refereegranskat)abstract
- In this paper, a closed-form approximate formula for estimating the maximum resonant response of beam bridges on viscoelastic supports (VS) under moving loads is proposed. The methodology is based on the discrete approximation of the fundamental vertical mode of a non-proportionally damped Bernoulli–Euler beam, which allows the derivation of closed-form expressions for the fundamental modal characteristics and maximum amplitude of free vibration at the mid-span of VS beams. Finally, an approximate formula to estimate maximum resonant acceleration of VS beams under passage of articulated trains has been proposed. Verification studies prove that the approximate closed-form formula estimates the resonant peaks with good accuracy and is a useful tool for preliminary assessment of railway beam bridges considering the effect of soil-structure interaction at resonance. In combination with the use of full train signatures through the Residual Influence Line (LIR) method, the proposed solution yields good results also in the lower range of speeds, where resonant sub-harmonics are more intensely reduced by damping.
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| 7. |
- Zangeneh Kamali, Abbas, 1980-, et al.
(författare)
-
Free vibration of viscoelastically supported beam bridges under moving loads: Closed-form formula for maximum resonant response
- 2024
-
Ingår i: Engineering structures. - Amsterdam : Elsevier. - 0141-0296 .- 1873-7323.
-
Tidskriftsartikel (refereegranskat)abstract
- In this paper, a closed-form approximate formula for estimating the maximum resonant response of beam bridges on viscoelastic supports (VS) under moving loads is proposed. The methodology is based on the discrete approximation of the fundamental vertical mode of a non-proportionally damped Bernoulli–Euler beam, which allows the derivation of closed-form expressions for the fundamental modal characteristics and maximum amplitude of free vibration at the mid-span of VS beams. Finally, an approximate formula to estimate maximum resonant acceleration of VS beams under passage of articulated trains has been proposed. Verification studies prove that the approximate closed-form formula estimates the resonant peaks with good accuracy and is a useful tool for preliminary assessment of railway beam bridges considering the effect of soil-structure interaction at resonance. In combination with the use of full train signatures through the Residual Influence Line (LIR) method, the proposed solution yields good results also in the lower range of speeds, where resonant sub-harmonics are more intensely reduced by damping.
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