<p>The experimental validation of FE numerical models, performed through the comparison between measured and calculated responses, presents an important step in further detailed calculations or simulation of future scenarios. Several parameters to be taken into account in numerical analyses, such as the cut-off frequency, train speed or damping coefficients, might have a preponderant effect in the success of that validation. Therefore, this paper discusses and evaluates the effect of these parameters in the numerical analyses to be carried out on a FE model of the Alcácer do Sal railway viaduct, under the passage of an Alfa Pendular train with a speed equal to 220 km/h. The dynamic behaviour of the deck slab is evaluated, through a methodology that considers train-bridge interaction, taking into account frequency limits equal to 15, 20 and 30 Hz, small variations in the train speed and two different scenarios of damping coefficients.</p>
This study describes the calibration and experimental validation of the dynamic model of a railway viaduct with precast deck. Global modal parameters of the structure and local modal parameters of the upper slab of the deck are identified based on a dynamic test. The calibration of the numerical model is done using a genetic algorithm that allows obtaining optimal values of 11 parameters of the numerical model. The inclusion of local modal parameters proved to be crucial, as various parameters of the numerical model do not have significant influence on global modal parameters. Mode pairing between numerical and experimental vibration modes is performed using a recent technique based on modal strain energy. The experimental validation of the calibrated numerical model is done by the comparison between numerical responses and experimental responses obtained in a dynamic test under railway traffic. This dynamic test shows the existence of a nonlinear behaviour of the viaduct's supports. There is an excellent correlation between numerical and experimental responses for different train speeds with the adjustment of the longitudinal supports stiffness of the calibrated model.
The structural response of reinforced concrete slabs in railway viaducts is strongly influenced by local effects and, therefore, detailed analysis methodologies are required for a proper quantification of the internal forces and stress values due to train passages. The existence of track irregularities is an important source of excitation for both the vehicle and the structure, leading to a considerable amplification of these values. This amplification can lead to excessive bridge vibrations and increased fatigue damage. Reinforced concrete (RC) deck slabs in railway bridges and viaducts can be particularly sensitive to fatigue, depending on the structure and track geometry, and also on traffic and temperature loading, among other factors. In this context, the influence of track irregularities in the global and local responses of a railway viaduct with a precast deck is evaluated in the present work, based on the case of the Alverca railway viaduct, located in the northern line of the Portuguese railways. Figure 1 shows a perspective view of the current zone of the viaduct. Figure 1 Alverca railway viaduct. https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315207681/cd556cd4-4dcf-4efe-8e29-56fc67b8bfbd/content/fig132_1.jpg"/> The dynamic responses are obtained based on threedimensional finite-element numerical models of the viaduct and trains and using a train-bridge interaction methodology, including track irregularities. The numerical analyses were performed considering the passage of a freight train and the Alfa Pendular passengers train for different speeds, and two distinct sections of the deck were analysed: the upper slab, particularly sensitive to local movements, and the intersection between the lower slab and the girder web (where the global movements of the structure are dominant). By analysing the structure response for increasing train speeds, it was concluded that the irregularities effect is prevalent for higher train speeds (Figure 2). The comparison of the structure responses, in terms of vertical acceleration time records and corresponding auto-spectra, considering or not the irregularities, revealed that the structure is particularly sensitive to track irregularities with small wavelengths (especially lower than 3 m). This is because the frequency of the action resulting from such wavelengths coincides with certain natural frequencies of the structure. For higher train speeds, the frequency of that action tends to increase and thereby contributes to the excitation of vibration modes with higher natural frequencies, normally associated to a local behaviour of the structure. The analysis of the consequences of track irregularities, for different structure elements and for different train types, revealed considerable differences which are discussed in the paper. Figure 2 Maximum acceleration for the girder (mid-span cross-section) for the passage of AP train. https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315207681/cd556cd4-4dcf-4efe-8e29-56fc67b8bfbd/content/fig132_2.tif"/>
The structural response of reinforced concrete slabs in railway bridges is strongly influenced by local dynamic effects and, therefore, detailed calculations of internal forces have to be performed for a realistic fatigue assessment. In this context, this paper discusses the influence of track irregularities and modal damping coefficients in the dynamic response and fatigue behaviour of a railway bridge deck slab. For that purpose, track irregularities were measured (at different instants of time) and damping coefficients were determined based on acceleration records for passing trains in a real bridge. The bridge behaviour was calculated using a train–bridge interaction methodology, considering calibrated numerical models of the viaduct and the train. The fatigue damage was quantified through the linear damage accumulation method. This methodology allowed to understand the way track irregularities and damping coefficients affect the magnitude of applied bending moments and fatigue damage in the slab.