We present a probabilistic methodology for designing tuned mass dampers for flutter suppression in long-span bridges. The procedure is computationally efficient and computes the probability of flutter occurrence based on a modified first-order method of reliability analysis, a reduced-order representation of the structure and a time domain formulation of aeroelastic loads. Results of a parametric investigation show that the proposed methodology is preferable to a deterministic design procedure, which relies on nominal values of mechanical and aerodynamic parameters and does not guarantee the maximum safety. Furthermore, the reliability-based approach can be effectively used in the design of multiple tuned mass damper configurations by enhancing robustness against frequency mistuning and by reducing costs associated with supplemental damping for a given safety performance level.
ArenaALacarbonaraWValentineDMarzoccaP (2014) Aeroelastic behavior of long-span suspension bridges under arbitrary wind profiles. Journal of Fluids and Structures50: 105–119.
2.
BaldomirAKusanoIHernandezSJuradoJ (2013) A reliability study for the Messina bridge with respect to flutter phenomena considering uncertainties in experimental and numerical data. Computers and Structures128: 91–100.
3.
BattainiMBreitungKCasciatiFFaravelliL (1998) Active control and reliability of a structure under wind excitation. Journal of Wind Engineering and Industrial Aerodynamics74–76: 1047–1055.
4.
CaracogliaL (2008) Influence of uncertainty in selected aerodynamic and structural parameters on the buffeting response of long-span bridges. Journal of Wind Engineering and Industrial Aerodynamics96: 327–344.
5.
CarpinetoNLacarbonaraWVestroniF (2010) Mitigation of pedestrian-induced vibrations in suspension footbridges via multiple tuned mass dampers. Journal of Vibration and Control16: 749–776.
6.
CasalottiAArenaALacarbonaraW (2014) Mitigation of post-flutter oscillations in suspension bridges by hysteretic tuned mass dampers. Engineering Structures69: 62–71.
7.
CasciatiFGiulianoF (2009) Performance of multi-tmd in the towers of suspension bridges. Journal of Vibration and Control15(6): 821–847.
8.
ChenSCaiC (2004) Coupled vibration control with tuned mass damper for long-span bridges. Journal of Sound and Vibration278: 449–459.
9.
ChenXKareemA (2003) Efficacy of tuned mass dampers for bridge flutter control. Journal of Structural Engineering129: 1291–1300.
10.
ChengJCaiCXiaoRCChenS (2005) Flutter reliability analysis of suspension bridges. Journal of Wind Engineering and Industrial Aerodynamics93: 757–775.
11.
ConnorJLaflammeS (2014) Structural Motion Engineering, New York: Springer.
12.
CostaCBorriC (2006) Application of indicial functions in bridge deck aeroelasticity. Journal of Wind Engineering and Industrial Aerodynamics94: 859–881.
13.
DingQChenAXiangH (2002) Coupled flutter analysis of long-span bridges by multimode and full-order approaches. Journal of Wind Engineering and Industrial Aerodynamics90: 1981–1993.
14.
GeYXiangHTanakaH (2000) Application of a reliability analysis model to bridge flutter under extreme winds. Journal of Wind Engineering and Industrial Aerodynamics86: 155–167.
15.
GoldsteinA (1962) Cauchy’s method of minimization. Numerische Mathematik4(1): 146–150.
16.
GuMChangCWuWXiangH (1998) Increase of critical flutter wind speed of long-span bridges using tuned mass dampers. Journal of Wind Engineering and Industrial Aerodynamics73: 111–123.
17.
GuMChenSChangC (2001) Parametric study on multiple tuned mass dampers for buffeting control of Yangpu bridge. Journal of Wind Engineering and Industrial Aerodynamics89: 987–1000.
18.
HasoferALindN (1974) An exact and invariant first-order reliability format. Journal of Engineering Mechanics100: 111–121.
19.
JonesNScanlanR (2001) Theory and full-bridge modeling of wind response of cable-supported bridges. Journal of Bridge Engineering6: 365–375.
20.
KiviluomaR (1999) Coupled-mode buffeting and flutter analysis of bridges. Computers and Structures70: 219–228.
21.
KrenkSHogsbergJ (2014) Tuned mass absorber on a flexible structure. Journal of Sound and Vibration333(6): 1577–1595.
22.
KwonSDParkKS (2004) Suppression of bridge flutter using tuned mass dampers based on robust performance design. Journal of Wind Engineering and Industrial Aerodynamics92: 919–934.
23.
LinYYChengCMLeeCH (2000) A tuned mass damper for suppressing the coupled flexural and torsional buffeting response of long-span bridges. Engineering Structures22: 1195–1204.
24.
MaterazziLUbertiniF (2011) Eigenproperties of suspension bridges with damage. Journal of Sound and Vibration330(26): 6420–6434.
NowakACollinsK (2000) Reliability of Structures, New York: McGraw-Hill Higher Education, USA.
27.
PourzeynaliSDattaT (2002) Reliability analysis of suspension bridges against flutter. Journal of Sound and Vibration254: 143–162.
28.
RackwitzRFiesslerB (1978) Structural reliability under combined random load sequences. Computers and Structures9: 489–494.
29.
SalvatoriLBorriC (2007) Frequency- and time-domain methods for the numerical modeling of full-bridge aeroelasticity. Computers and Structures85: 675–687.
30.
SaydamDFrangopolD (2013) Applicability of simple expressions for bridge system reliability assessment. Computers and Structures114–115: 59–71.
31.
SeoDWCaracogliaL (2011) Estimation of torsional-flutter probability in flexible bridges considering randomness in flutter derivatives. Engineering Structures33: 2284–2296.
32.
SimiuEHeckertNFillibenJJohnsonS (2001) Extreme wind load estimates based on the gumbel distribution of dynamic pressures: an assessment. Structural Safety23: 221–229.
33.
SimiuEScanlanR (1986) Wind effects on structures, New York: John Wiley & Sons.
34.
UbertiniF (2010) Prevention of suspension bridge flutter using multiple tuned mass dampers. Wind and Structures13: 235–256.
35.
UbertiniF (2014) Effects of cables damage on vertical and torsional eigenproperties of suspension bridges. Journal of Sound and Vibration333(11): 2404–2421.
