Earthquakes and Structures, Vol. 18, No. 3 (2020) 313-320
DOI: https://doi.org/10.12989/eas.2020.18.3.313 313
Copyright © 2020 Techno-Press, Ltd.
http://www.techno-press.org/?journal=eas&subpage=7 ISSN: 2092-7614 (Print), 2092-7622 (Online)
1. Introduction
Wind forces cause aerodynamic instability of suspension
bridge structures resulting in failures that need to be
considered for bridge design and assessment (Andersen and
Brandt 2018). Tacoma Narrows in 1940 in Washington,
Brighton Chain Pier in 1836 in England, and Wheeling in
1854 in West Virginia are some examples of suspension
bridges being destroyed because of the aerodynamic
instabilities and uncontrolled oscillations (Arioli et al. 2015,
Steinman 2017). Hence, monitoring and controlling of the
wind-induced structural motions receive very much
attention nowadays because of periodic hurricanes occur in
many parts of the world. A wide variety of numerical and
mathematical approaches have been used for structural
health monitoring (SHM) of bridge structures
(Farhangdoust and Mehrabi 2019, Zhou et al. 2018, Soman
et al. 2018, Xu 2018, Feng et al. 2018, Saha et al. 2018). In
the literature, vortex shedding, flutter, buffeting, and
galloping can induce aerodynamic instabilities leading to
suspension bridge collapses as a consequence of wind-
bridge interaction (Larsen and Larose 2015, Guo et al.
2019, Vaz et al. 2018, Azzi et al. 2018). The dynamic
response of Kap Shui Mun Bridge in Hong Kong has been
modeled by Zhang et al. (2012) in which vortex shedding,
flutter, and buffeting have been addressed as the load
excitations. Vortex shedding is recognized as an undesirable
aeroelastic phenomenon of the wind-bridge interaction
which potentially causes large dynamic oscillations in the
Corresponding author, Ph.D Candidate
E-mail: sfarh006@fiu.edu
suspension bridges (Gazzola 2015, Simiu 2011, Larsen et
al. 2000). Vortex shedding results from rolling-up of the
separating shear layers of a bluff body alternately on each
side of structure gives rise to fluctuating lift forces. A large
number of articles have been published on the vortex-
induced oscillation of engineering structures (Wang et al.
2018, Munir et al. 2018). The structure will resonate and its
oscillations will become self-sustaining if the frequency of
vortex shedding matches structure’s fundamental frequency
(Li et al. 2011, Fujino and Yoshida 2002). Vibration
analysis of suspension bridge deck subjected to the vortex
shedding instability has been a concern to engineers
because of the associated bridge failure experienced (Laima
et al. 2014, Wang et al. 2018). In order to tackle the
aerodynamic instability of suspension bridge structures,
various teams and researchers have put their concentrations
on figuring vortex-induced vibrations out (Zhang et al.
2008). A single-side pounding tuned mass damper was
implemented by Wang et al. (2018) to mitigate vortex-
induced vibrations of a bridge deck. They experimentally
investigated the proposed TMD performance and concluded
that the maximum response of their model was reduced by
94% using the TMD with mass ratio of 2%. Due to different
given Reynolds numbers, VIV performance has been
studied for twin-box bridge sections of Great Belt East
Bridge and the Stonecutters Bridge by Zhang et al (2008).
Smith (2008) studied dynamic response of Wye Bridge
which is a cable stayed box girder bridge with length span
of 235 m. They measured the dominant frequencies of
wind-induced vibration and studied the effect of vortex
shedding excitation on fatigue life of the bridge structure.
Field measurements of a twin steel box girder suspension
bridge with a center span of 1650 m have been implemented
Bistable tuned mass damper for suppressing
the vortex induced vibrations in suspension bridges
Saman Farhangdoust
1
, Pejman Eghbali
2
and Davood Younesian
2
1
Department of Civil and Environmental Engineering, Florida International University, Miami, FL 33174, USA
2
School of Railway Engineering, Iran University of Science and Technology, Tehran 16846-13114, Iran
(Received April 24, 2019, Revised January 22, 2020, Accepted February 4, 2020)
Abstract. The usage of conventional tuned mass damper (TMD) was proved as an effective method for passive mitigating
vortex-induced vibration (VIV) of a bridge deck. Although a variety of linear TMD systems have been so far utilized for
vibration control of suspension bridges, a sensitive TMD mechanism to wind spectrum frequency is lacking. Here, we introduce
a bistable tuned mass damper (BTMD) mechanism which has an exceptional sensitivity to a broadband input of vortex shedding
velocity for suppressing VIV in suspension bridge deck. By use of the Monte Carlo simulation, performance of the nonlinear
BTMD is shown to be more efficient than the conventional linear TMD under two different wind load excitations of harmonic
(sinusoidal) and broadband input of vortex shedding. Consequently, an appropriate algorithm is proposed to optimize the design
parameters of the nonlinear BTMD for Kap Shui Mun Bridge, and then the BTMD system is localized for the interior deck of
the suspension bridge.
Keywords: bistable tuned mass damper (BTMD); nonlinear vibration control; wind vortex shedding; suspension bridges