J Nondestruct Eval (2010) 29: 14–24
DOI 10.1007/s10921-009-0061-9
Ambient Vibration Tests of a Steel Footbridge
Alemdar Bayraktar · Ahmet Can Altuni¸ sik ·
Barı¸ s Sevim · Temel Türker
Published online: 1 January 2010
© Springer Science+Business Media, LLC 2009
Abstract The paper presents analytical and experimental
modal analysis of a steel footbridge for modal parameter
identification. 3D finite element model is established for the
steel footbridge based on the design drawing and modal pa-
rameters are obtained from deformed configurations. The
field test is carried out by ambient vibration test under hu-
man walking excitation. Both Peak Picking method in the
frequency domain and the Stochastic Subspace Identifica-
tion method in the time domain are used for the output-
only modal identification. From the study, good agreement
is found between mode shapes, but some differences in the
natural frequencies and analytical frequencies are bigger.
Keywords Ambient vibration test · Footbridge · Modal
parameter · Peak picking · Stochastic subspace
identification
1 Introduction
In recent decades, there has been a trend towards improved
mechanical characteristics of materials used in footbridge
construction. It has enabled engineers to design lighter, slen-
der and more aesthetic structures. As a result of these con-
A. Bayraktar ( ) · A. Can Altuni¸ sik · B. Sevim · T. Türker
Department of Civil Engineering, Karadeniz Technical
University, 61080 Trabzon, Turkey
e-mail: alemdar@ktu.edu.tr
A. Can Altuni¸ sik
e-mail: ahmetcan8284@hotmail.com
B. Sevim
e-mail: bsevim18@hotmail.com
T. Türker
e-mail: temelturker@hotmail.com
struction trends, many footbridges have become more sus-
ceptible to vibrations when subjected to dynamic loads. In
addition to this, some inherit modeling uncertainties related
to a lack of information on the as-built structure, such as
boundary conditions, material properties, and the effects of
non-structural elements make difficult to evaluate modal
properties of footbridges analytically. For these purposes,
modal testing of footbridges is used to rectify these prob-
lems after construction.
The modal testing procedures used in all of the articles
are either frequency response function (FRF) based test-
ing (using shaker or hammer excitation) or ambient vibra-
tion survey. In the former both the input force and output
response are measured. In the latter only the response is
measured while the input force is environmental excitation
(wind, human walking or traffic). The main advantages of
ambient vibration testing are: (a) testing is cheap and fast,
since the equipment for excitation is unnecessary, (b) test-
ing does not interfere with the operation of the structure,
(c) the measured response is representative for the real op-
erating conditions of the structure. In this study, the ambient
vibration tests are conducted on the steel footbridge because
of the main advantages.
Although the modal testing is one of the most pop-
ular techniques for studying the behavior of engineering
structures through a number of natural frequencies and
mode shapes, there are only a few articles exist related to
both experimental measurement and finite element model-
ing specifically footbridge. The first extensive study related
to vibration tests of footbridge was conducted by the UK
Transport and Road Research Laboratory in the 1970s [1, 2].
Their work concentrated on presenting and discussing the
experimentally identified modal properties. But, in the last
two decades, a number of authors have started to pay more
attention on modal testing of footbridges. Zivanovic et al.