Structural Analysis of Historical Constructions - Modena, Lourenço & Roca (eds)
© 2005 Taylor & Francis Group, London, ISBN 04 15363799
Historical railway bridges: tests and numerical analysis
M. Ferraioli, P. Malangone, M. Rauci & A. Zambrano
Second University of Naples, Ilaly
ABSTRACT: A procedure based on experimental and theoretical analyses to evaluate the response ofrailway
bridges under dynamic loading is presented. In particular an ancient railway bridge under service on the AvelIino-
Rocchetta-Foggia line in the Southem part ofItaly was considered. A simplified procedure to study the vehicle-
bridge interaction with a simple continuous beam model is proposed. The calibration ofthe model was carried
out at first with the study ofthe technical reports, the visual inspection, the material tests and the dynamic tests.
Then an identification procedure to characterize the presence of structural non-linearities is applied. FinalIy, the
calibrated model of the bridge was used to perform modal analysis, to evaluate the magnification facto r of the
bridge and the acceleration response of the vehicle.
INTRODUCT ION
The procedures for the analysis of existing bridges
are usualIy based on field experiments which are the
most reliable mean to determinate their dynamic char-
acteristics. In fact the dynamic properties are only
marginalIy influenced by variations in loading while
the static properties may sutTer strong variations with
the load pattem. As a consequence, during the last
years many studies focused on the possibility ofusing
the vibration characteristics to evaluate the structural
health. In the simplest form, the identification tech-
niques generalIy use the natural frequencies and the
mode shapes obtained with field tests (ambient vibra-
tion, forced vibration, free vibration, tratTic vibration,
earthquake response measurements). These dynamic
properties alIow the control ofthe construction quality,
the validation and the improvement ofstructural mod-
eIs, the assessment of damage (Salawu & Williams
1995, Kou & De Wolf 1997, Capecchi & Ve stroni
1999, Castiglioni et aI. 2002). The approaches based
on the modal analysis techniques in frequency domain
are stilI dominant in the model updating philo sophy
(Ewins 1986). GeneralIy, the finite element model
of the structure is validated with the comparison
between the eigenproperties deriving from the model
and the eigenproperties calculated from the moda I
tests. Then the interaction among the train, the support-
ing track and the bridge has to be properly modeled.
In fact this interaction generalIy produces the ampli-
fication of displacements, strains and stresses in the
structural members (Hurty & Rubinstein 1967). This
interaction problem between vehicles and bridge has
attracted much attention due to the large increase in the
proportion of heavy vehicles and high-speed vehicles
in railway tratTic.
FinalIy, the dynamic nature ofthe train loading has
to be considered because it produces some particular
etTects. First of alI, the sudden changes in the bridge
loading due to train speed create heavy inertial etTects
on the structure. Then changes in the axial load on
the bridge occur as a consequence both of the rough-
ness of the railroad and of the irregularity of the train
wheels. FinalIy, the repeated sequences of the loads
due to the nearly constant spacing of the train axles
can produce both resonance phenomena and huge and
dangerous vibrations. After all the dynamic behavior
ofthe bridge is influenced by some main factors: a) the
natural frequency ofthe structure; b) the wheel bases
of the train; c) the train speed; d) the structural damp-
ing; e) the type ofbridge span; f) the spacing oftrain
axles; f) the track structure; g) the wheel imperfections;
h) the roughness of the rail road.
In this paper so me simple models for dynamic inter-
action between vehicle and bridge were characterized
to study the dynamic response ofthe bridge under the
moving train loading, and to evaluate the acceleration
inside the vehicle. The interaction between the mov-
ing train and the bridge was modeled neglecting the
rolIing and yawing of the railway vehicles, constrain-
ing the rail on the bridge deck and considering the
damping characteristics ofthe vehicle suspension. An
equivalent beam model for the bridge was calibrated
on the basis of the experimental results. This simple
model accounts for the vehicle-bridge interaction, but
cannot precisely represent two or three-dimensional
behaviour, particularly in the case ofmoving train with
paths that are not along the centerline of the bridge.
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