Two-Dimensional Aerodynamic Admittance of a Flat Closed-Box Bridge
Publication: Journal of Structural Engineering
Volume 147, Issue 3
Abstract
Wind tunnel tests were carried employing two different free-stream turbulent flow fields and one harmonic vertical gust profile conditions, and pressure measurements of the buffeting force on six separated strips of a flat closed-box bridge-deck section model were recorded. Two-dimensional aerodynamic admittance functions (2D-AAF) were obtained using one- and two-wavenumber computational theory, respectively. An empirical expression for determining the 2D-AAF for flat closed-box bridge decks in free-stream turbulence was proposed based on the extensive results of the experimental data. This study indicates that the 2D-AAF of the flat closed-box bridge deck is higher than the Sears function in the low-frequency range, and the aerodynamic admittance remains almost constant for reduced frequencies in the range of 0–0.145. For a given bridge section, its 2D-AAF is unique and related only to the geometry of the deck cross section, regardless of whether or not the strip assumption is valid. The fluctuating pressure near the leading edge of the bridge deck in the harmonic vertical gust was obviously much larger than that obtained in free-stream turbulent wind fields, which significantly affects the magnitude of the lift force.
Get full access to this article
View all available purchase options and get full access to this article.
Data Availability Statement
Some or all data, models, or code generated or used during the study are proprietary or confidential in nature and may only be provided with restrictions.
Acknowledgments
This project was supported by the National Natural Science Foundation of China (Grant No. 51778545).
References
Davenport, A. G. 1962. “Buffeting of a suspension bridge by storm winds.” J. Struct. Div. 88 (3): 233–270.
Diana, G., S. Bruni, A. Cigada, and E. Zappa. 2002. “Complex aerodynamic admittance function role in buffeting response of a bridge deck.” J. Wind Eng. Ind. Aerodyn. 90 (12–15): 2057–2072. https://doi.org/10.1016/S0167-6105(02)00321-5.
Drabble, M. J., I. Grant, B. J. Armstrong, and F. H. Barnes. 1990. “The aerodynamic admittance of a square plate in a flow with a fully coherent fluctuation.” Phys. Fluids 2 (6): 1005–1013. https://doi.org/10.1063/1.857638.
Graham, J. M. 1970. “Lifting-surface theory for the problem of an arbitrary yawed sinusoidal gustincident on a thin aerofoil in incompressible flow.” Aeronaut. Q. 21 (2): 182–198. https://doi.org/10.1017/S0001925900005357.
Graham, J. M. 1971. “A lift-surface theory for the rectangular wing in non-stationary flow.” Aeronaut. Q. 22 (1): 83–100. https://doi.org/10.1017/S0001925900005667.
Ito, Y., H. Shirato, and M. Matsumoto. 2014. “Coherence characteristics of fluctuating lift forces for rectangular shape with various fairing decks.” J. Wind Eng. Ind. Aerodyn. 135 (Dec): 35–45.
Jackson, R., J. M. R. Graham, and D. J. Maull. 1973. “The lift on a wing in a turbulent flow.” Aeronaut. Q. 24 (3): 155–166. https://doi.org/10.1017/S0001925900006569.
Jakobsen, J. B. 1997. Span-wise structure of lift and overturning moment on a motionless bridge girder.” J. Wind Eng. Ind. Aerodyn. 69–71: 795–805.
Jancauskas, E. D., and W. H. Melbourne. 1986. “The aerodynamic admittance of two-dimensional rectangular section cylinders in smooth flow.” J. Wind Eng. Ind. Aerodyn. 23 (1–3): 395–408. https://doi.org/10.1016/0167-6105(86)90057-7.
Kimura, K., Y. Fujino, S. Nakato, and H. Tamura. 1997. “Characteristics of buffeting forces on flat cylinders.” J. Wind Eng. Ind. Aerodyn. 69 (7–8): 365–374. https://doi.org/10.1016/S0167-6105(97)00169-4.
Larose, G. L. 1999. “Experimental determination of the aerodynamic admittance of a bridge deck segment.” J. Fluids Struct. 13 (7): 1029–1040. https://doi.org/10.1006/jfls.1999.0244.
Larose, G. L. 2003. “The spatial distribution of unsteady loading due to gusts on bridge decks.” J. Wind Eng. Ind. Aerodyn. 91 (12): 1431–1443. https://doi.org/10.1016/j.jweia.2003.09.008.
Larose, G. L., and J. Mann. 1998. “Gust loading on streamlined bridge decks.” J. Fluids Struct. 12 (5): 511–536. https://doi.org/10.1006/jfls.1998.0161.
Larose, G. L., H. Tanaka, and N. J. Gimsing. 1998. “Direct measurements of buffeting wind forces on bridge decks.” J. Wind Eng. Ind. Aerodyn. 74–76 (Apr): 809–818. https://doi.org/10.1016/S0167-6105(98)00073-7.
Li, M. S., M. Li, and Y. Yang. 2020. “Strategy for the determination of unsteady aerodynamic forces on elongated bodies in gird-generated turbulent flow.” Exp. Therm. Fluid Sci. 110 (Jan): 109939. https://doi.org/10.1016/j.expthermflusci.2019.109939.
Li, S., M. S. Li, and H. L. Liao. 2015. “The lift on an aerofoil in grid-generated turbulence.” J. Fluid Mech. 771 (May): 16–35. https://doi.org/10.1017/jfm.2015.162.
Li, S. P., M. S. Li, and G. L. Larose. 2018. “Aerodynamic admittance of streamlined bridge decks.” J. Fluids Struct. 78 (Apr): 1–23. https://doi.org/10.1016/j.jfluidstructs.2017.12.014.
Liepmann, H. W. 1952. “On the application of statistical concepts to the buffeting problem.” J. Aeronaut. Sci. 19 (12): 793–800. https://doi.org/10.2514/8.2491.
Liepmann, H. W. 1955. “Extension of the statistical approach to buffeting and gust response ofwings of finite span.” J. Aerosp. Sci. 22 (33): 197–200. https://doi.org/10.2514/8.3305.
Ma, C., J. Wang, Q. Li, and H. Liao. 2019. “3D aerodynamic admittances of streamlined box bridge decks.” Eng. Struct. 179 (Jan): 321–331. https://doi.org/10.1016/j.engstruct.2018.11.007.
Ma, T. T., L. Zhao, S. Y. Cao, Y. J. Ge, and H. Miyagi. 2013. “Investigations of aerodynamic effects on streamlined box girder using two-dimensional actively controlled oncoming flow.” J. Wind Eng. Ind. Aerodyn. 122 (Nov): 118–129. https://doi.org/10.1016/j.jweia.2013.07.011.
Mugridge, B. D. 1971. “Gust loading on a thin aerofoil.” Aeronaut. Q. 22 (3): 301–310. https://doi.org/10.1017/S0001925900005849.
Panofsky, H. A., and J. A. Dutton. 1984. Atmospheric turbulence. New York: Wiley.
Roberts, J. B., and D. Surry. 1973. “Coherence of grid-generated turbulence.” J. Eng. Mech. Div. 99 (6): 1227–1245.
Sears, W. R. 1941. “Some aspects of non-stationary airfoil theory and its practical application.” J. Aeronaut. Sci. 8 (3): 104–108. https://doi.org/10.2514/8.10655.
Von Karman, T. 1948. “Progress in the statistical theory of turbulence.” Proc. Natl. Acad. Sci. 34 (11): 530–539.
Wang, J. X., C. M. Ma, H. J. Jing, C. Pei, and E. Dragomirescu. 2020. “Experimentalstudy on aerodynamic admittance of twin-box bridge decks.” J. Wind Eng. Ind. Aerodyn. 198 (Mar): 104080. https://doi.org/10.1016/j.jweia.2019.104080.
Yan, L., L. D. Zhu, and R. G. J. Flay. 2016. “Span-wise correlation of wind-induced fluctuating forces on a motionless flat-box bridge deck.” J. Wind Eng. Ind. Aerodyn. 156 (Sep): 115–128. https://doi.org/10.1016/j.jweia.2016.07.004.
Yan, L., L. D. Zhu, and R. G. J. Flay. 2017. “Comparison of force-balance and pressure measurements on deck strips on a stationary bridge model.” J. Wind Eng. Ind. Aerodyn. 164 (May): 96–107. https://doi.org/10.1016/j.jweia.2017.02.010.
Yang, Y., M. Li, C. Ma, and S. Li. 2017. “Experimental investigation on the unsteady lift of an airfoil in a sinusoidal streamwise gust.” Phys. Fluids 29 (5): 051703. https://doi.org/10.1063/1.4984243.
Yang, Y., M. S. Li, Y. Su, and Y. G. Sun. 2019. “Aerodynamic admittance of a 5:1 rectangular cylinder in turbulent flow.” J. Wind Eng. Ind. Aerodyn. 189 (Jun): 125–134. https://doi.org/10.1016/j.jweia.2019.03.023.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 147 • Issue 3 • March 2021
Copyright
© 2020 American Society of Civil Engineers.
History
Received: Jul 19, 2019
Accepted: Oct 15, 2020
Published online: Dec 30, 2020
Published in print: Mar 1, 2021
Discussion open until: May 30, 2021
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.