Research Article
Flutter Derivatives Identification and Aerodynamic Performance
of an Optimized Multibox Bridge Deck
Zhida Wang and Elena Dragomirescu
Te University of Ottawa, 161 Louis Pasteur, Ottawa, ON, Canada K1N 6N5
Correspondence should be addressed to Elena Dragomirescu; elndrag@uottawa.ca
Received 12 March 2016; Accepted 26 July 2016
Academic Editor: Ghassan Chehab
Copyright © 2016 Z. Wang and E. Dragomirescu. Tis is an open access article distributed under the Creative Commons
Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is
properly cited.
Te bridge deck sections used for long-span suspension bridges have evolved through the years, from the compact box deck
girders geometrical confgurations to twin-box and three-box bridge decks sections. Te latest generation of split and multiple-
box bridge decks proved to have better aerodynamic behavior; thus further optimization methods are sought for such geometrical
confgurations. A new type of multibox bridge deck, consisting of four aerodynamically shaped deck boxes, two side decks for the
trafc lanes and two middle decks for the railway trafc, connected between them by stabilizing beams, was tested in the wind tunnel
for identifying the futter derivatives and to verify the aerodynamic performance of the proposed multibox deck. Aerodynamic
static force coefcients were measured for the multibox bridge deck model, scaled 1 : 80, for Reynolds numbers up to 5.1 × 10
5
,
under angles of attack between −8
∘
and 8
∘
. Iterative Least Squares (ILS) method was employed for identifying the futter derivatives
of the multibox bridge deck model, based on the results obtained from the free vibration tests and based on the frequency analysis
the critical futter wind speed for the corresponding prototype of the multibox bridge was estimated at 188 m/s.
1. Introduction
Afer the failure of the of the frst Tacoma Narrow Bridge
at half of its design wind speed, bridge which was designed
to withstand static wind load only, various methods have
been adopted for analyzing the aerodynamic instability of
long-span bridges, with the assistance of wind tunnel tests
([1–3], etc.). Nowadays, the aerodynamic stability criteria
for suspension and cable-stayed bridges have been well-
established ([4–6], etc.) and new challenges were raised in
terms of the bridge deck geometrical confgurations leading
to the new generation of slotted bridge deck geometries
([7–9], etc.) with improved the aerodynamic performance,
which allowed the development of longer bridge spans ([10,
11]). Tese new concepts of “synthetic” futter control were
discussed by Miyata [12] in an attempt to lower the futter
onset wind speed, which the Japanese design standards
requirements set to 80 m/s, by proposing modifcations of
the deck cross section. Te “spindle-type” bridge deck he
proposed had the deck divided into two symmetric box
decks on the main span only, while on the lateral spans a
conventional closed box deck was used; however the critical
futter modes proved to be asymmetric for the main span and
symmetric for the side spans. Several twin-box deck bridges
have been constructed recently, such as Stonecutters Bridge
of 1,377m main span [13], Tsing Ma Bridge with main span
of 1,650 m [14], and Xihoumen Bridge of 1,410 m main span
[11], and three-box bridge decks have also been designed
for Messina Bridge [7, 15], Gibraltar Strait Bridge [16], and
Sunda Strait Bridge [17]; however none of these bridges
were constructed yet. In order to investigate the impact of
diferent deck cross-sectional confgurations for bridges with
torsional to vertical frequencies ratio lower than unity, on the
aerodynamic stability, but also on the cost reductions, implied
by the construction solution, Bartoli et al. [18] analyzed
several deck cross sections using the same width and then
increased width with regard to the reference Messina Bridge,
but eliminating the middle deck. Also most of the mass of
Hindawi Publishing Corporation
Advances in Civil Engineering
Volume 2016, Article ID 8530154, 13 pages
http://dx.doi.org/10.1155/2016/8530154