Calculating Vortex-Induced Vibration of Bridge Decks at Different Mass-Damping Conditions
Publication: Journal of Bridge Engineering
Volume 23, Issue 3
Abstract
An improved method for calculating the vortex-induced vibration (VIV) of bridges is proposed in this article. In this method, the nonlinear characteristics of the additional aeroelastic effects during VIV versus structural amplitude are first identified through an instantaneous identification method and polynomial fitting. The expression for the aeroelastic effects as a function of structural amplitude is then transformed to the function of structural velocity and/or displacement to calculate the limit-cycle oscillation of the deck. The proposed method was validated through an experiment with different mass-damping conditions. The results indicate that the generalized polynomial model with parameters identified on one particular mass-damping condition can be used to calculate the VIV response of the deck within a certain range of mass-damping values. Based on this method, the VIV performance of a real bridge was calculated by considering the influences of modal shape and spatial coherence of VIV forces. Compared with the traditional method, the applicability of which is limited to a particular mass-damping condition for which the model parameters were estimated, the proposed method will significantly reduce the uncertainty in the prediction of the VIV performance of a real bridge.
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Acknowledgments
The authors gratefully acknowledge the support of the National Natural Science Foundation of China (51708011) and the China Postdoctoral Science Foundation funded project (2017M610732).
References
Andrianne, T., and Dimitriadis, G. (2014). “Empirical modelling of the bifurcation behaviour of a bridge deck undergoing across-wind galloping.” J. Wind Eng. Ind. Aerodyn.,135, 129–135.
Billah, K. 1989. A study of vortex induced vibration,Princeton Univ.,Princeton, NJ.
Birkhoff, G. (1953). “Formation of vortex streets.” J. Appl. Phys.,24(1), 98–103.
Bishop, R. E. D., and Hassan, A. Y. (1964). “The lift and drag forces on a circular cylinder in a flowing fluid.” Proc. R. Soc. London, Ser. A,277(1368), 51–75.
Chen, X. (2013). “Estimation of stochastic crosswind response of wind-excited tall buildings with nonlinear aerodynamic damping.” Eng. Struct.,56, 766–778.
Diana, G., Resta, F., Belloli, M., and Rocchi, D. (2006). “On the vortex shedding forcing on suspension bridge deck.” J. Wind Eng. Ind. Aerodyn.,94(5), 341–363.
Ehsan, F. (1989). The vortex-induced response of long, suspended-span bridges,Johns Hopkins Univ.,Baltimore, MD.
Ehsan, F., and Scanlan, R. H. (1990). “Vortex-induced vibrations of flexible bridges.” J. Eng. Mech., 1392–1411.
Ehsan, F., Scanlan, R. H., and Bosch, H. R. (1990). “Modeling spanwise correlation effects in the vortex-induced response of flexible bridges.” J. Wind Eng. Ind. Aerodyn.,36, 1105–1114.
Facchinetti, M. L., Langre, E. D., and Biolley, F. (2004). “Coupling of structure and wake oscillators in vortex-induced vibrations.” J. Fluids Struct.,19(2), 123–140.
Frandsen, J. (2001). “Simultaneous pressures and accelerations measured full-scale on the Great Belt east suspension bridge.” J. Wind Eng. Ind. Aerodyn.,89(1), 95–129.
Goswami, I., Scanlan, R. H., and Jones, N. P. (1993). “Vortex-induced vibration of circular cylinders. II: New model.” J. Eng. Mech., 2288–2302.
Hartlen, R. T., Currie, I. G., Hartlen, R. T., and Currie, I. G. (1970). “Lift-oscillator model of vortex-induced vibration.” J. Eng. Mech. Div.,96, 577–591.
Huang, N. E., Wu, Z., Long, S. R., Arnold, K. C., Chen, X., and Blank, K. (2009). “On instantaneous frequency.” Adv. Adapt. Data Anal.,1, 177–229.
Iwan, W. D., and Blevins, R. D. (1974). “A model for vortex induced oscillation of structures.” J. Appl. Mech.,41(3),
Landl, R. (1975). “A mathematical model for vortex-excited vibrations of bluff bodies.” J. Sound Vib.,42(2), 219–234.
Larsen, A. (1995). “A generalized model for assessment of vortex-induced vibrations of flexible structures.” J. Wind Eng. Ind. Aerodyn.,57(2–3), 281–294.
Larsen, A., Esdahl, S., Andersen, J. E., and Vejrum, T. (2000). “Storebælt suspension bridge–vortex shedding excitation and mitigation by guide vanes.” J. Wind Eng. Ind. Aerodyn.,88(2–3), 283–296.
Li, H., et al. (2011). “Investigation of vortex-induced vibration of a suspension bridge with two separated steel box girders based on field measurements.” Eng. Struct.,33(6), 1894–1907.
Li, H., Laima, S., Zhang, Q., Li, N., and Liu, Z. (2014). “Field monitoring and validation of vortex-induced vibrations of a long-span suspension bridge.” J. Wind Eng. Ind. Aerodyn.,124, 54–67.
Lighthill, J. (1986). “Fundamentals concerning wave loading on offshore structures.” J. Fluid Mech.,173, 667–681.
Marra, A. M., Mannini, C., and Bartoli, G. (2011). “Van der Pol-type equation for modeling vortex-induced oscillations of bridge decks.” J. Wind Eng. Ind. Aerodyn.,99(6-7), 776–785.
Mashnad, M., and Jones, N. P. (2014). “A model for vortex-induced vibration analysis of long-span bridges.” J. Wind Eng. Ind. Aerodyn.,134, 96–108.
MATLAB [Computer software].MathWorks,Natick, MA.
Novak, M. (1972). “Galloping oscillations of prismatic structures.” J. Engrg. Mech. Div.,98(1), 27–46.
Parkinson, G., and Brooks, N. (1961). “On the aeroelastic instability of bluff cylinders.” J. Appl. Mech.,28(2), 252–258.
Parkinson, G., and Smith, J. (1964). “The square prism as an aeroelastic non-linear oscillator.” Q. J. Mech. Appl. Math.,17(2), 225–239.
Sarpkaya, T. (1978). “Fluid forces on oscillating cylinders.” J. Waterway, Port, Coastal Ocean Div.,104(3), 275–290.
Sarpkaya, T. (2001). “On the force decompositions of Lighthill and Morison.” J. Fluids Struct.,15(2), 227–233.
Sarpkaya, T. (2004). “A critical review of the intrinsic nature of vortex-induced vibrations.” J. Fluids Struct.,19(4), 389–447.
Scanlan, R. H. (1981). “On the state-of-the-art methods for calculations of flutter, vortex-induced and buffeting response of bridge structures.” FHWA-RD-80- 50,Federal Highway Administration,Washington, DC.
Scanlan, R. H. (1998). “Bridge flutter derivatives at vortex lock-in.” J. Struct. Eng., 450–458.
Shiraishi, N., and Matsumoto, M. (1983). “On classification of vortex-induced oscillation and its application for bridge structures.” J. Wind Eng. Ind. Aerodyn.,14(1-3), 419–430.
Skop, R., and Balasubramanian, S. (1997). “A new twist on an old model for vortex-excited vibrations.” J. Fluids Struct.,11(4), 395–412.
Skop, R. A., and Griffin, O. M. (1973). “A model for the vortex-excited resonant response of bluff cylinders.” J. Sound Vib.,27(2), 225–233.
Vickery, B. J., and Basu, R. I. (1983). “Across-wind vibrations of structures of circular cross-section. Part I. Development of a mathematical model for two-dimensional conditions.” J. Wind Eng. Ind. Aerodyn.,12(1), 49–73.
Vio, G. A., Dimitriadis, G., and Cooper, J. E. (2007). “Bifurcation analysis and limit cycle oscillation amplitude prediction methods applied to the aeroelastic galloping problem.” J. Fluids Struct.,23(7), 983–1011.
Weber, F., Distl, J., and Maślanka, M. (2013). “Semi-active TMD concept for Volgograd Bridge.” Topics in dynamics of civil structures, Vol. 4: Proceedings of the 31st IMAC, A Conf. on Structural Dynamics,Springer,New York, 79–88.
Wilkinson, R. (1981). “Part II: Spanwise correlation and loading.” Aeronaut. Q.,32(2), 111–125.
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© 2017 American Society of Civil Engineers.
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Received: Nov 18, 2016
Accepted: Sep 18, 2017
Published online: Dec 22, 2017
Published in print: Mar 1, 2018
Discussion open until: May 22, 2018
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