Experimental Investigation on Relations between Flutter Derivatives and Aerodynamic Admittances
Publication: Journal of Bridge Engineering
Volume 22, Issue 10
Abstract
Two kinds of relations between flutter derivatives and aerodynamic admittance functions (AAFs), which have been used in bridge aerodynamics, are discussed in this study by means of theoretical analysis and experiments. The first kind, called substitutive Kϋssner function method in this study, assumes equivalence between the Wagner function and the Kϋssner function. In doing so, the AAFs can be calculated based on flutter derivatives. The other one involves a concept of equivalent Theodorsen function, and the relation is built up by utilizing the classic relation between the Sears function and the Theodorsen function. Both methods are reasoned to be logically problematic in this study. Furthermore, these relations were examined with wind tunnel experiments. Flutter derivatives and AAFs of a flat plate and a rectangular cylinder with an aspect ratio of 4 were tested. The measured AAFs were compared with those calculated from flutter derivatives. The results show that, as frequency increases, the gap between the measured AAFs and those by the substitutive Kϋssner function method increases drastically. In comparison, the AAFs based on equivalent Theodorsen functions are closer to measured results in the low-frequency range; however, as frequency increases, they deviate from the measured AAFs in the form of violent oscillation, streamlined and bluff sections alike. It is shown that this kind of fluctuation originates from the illogicality inherent in the method.
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Acknowledgments
The authors acknowledge the financial support from the National Natural Science Foundation of China (Grants 51578233 and 51178182).
References
Caracoglia, L. (2008). “Influence of uncertainty in selected aerodynamic and structural parameters on the buffeting response of long-span bridges.” J. Wind Eng. Ind. Aerodyn., 96(3), 327–344.
Caracoglia, L., and Jones, N. P. (2003). “Time domain vs. frequency domain characterization of aeroelastic forces for bridge deck sections.” J. Wind Eng. Ind. Aerodyn., 91(3), 371–402.
Chen, X., and Kareem, A. (2001). “Nonlinear response analysis of long-span bridges under turbulent winds.” J. Wind Eng. Ind. Aerodyn., 89(14–15), 1335–1350.
Chen, X., Matsumoto, M., and Kareem, A. (2000). “Time domain flutter and buffeting response analysis of bridges.” J. Eng. Mech., 7–16.
Chen, Z. Q., and Hu, J. H. (2005). “A comparative study between time-domain method and frequency-domain method for identification of bridge flutter derivatives.” Eng. Mech., 22(6), 127–133 (in Chinese).
Costa, C. (2007). “Aerodynamic admittance functions and buffeting forces for bridges via indicial functions.” J. Fluid Struct., 23(3), 413–428.
Costa, C., Borri, C., Olivier Flamand, O., and Grillaud, G. (2007). “Time-domain buffeting simulations for wind-bridge interaction.” J. Wind Eng. Ind. Aerodyn., 95(9–11), 991–1006.
Garrick, I. E. (1938). On some reciprocal relations in the theory of nonstationary flows, U.S. Advisory Committee for Aeronautics, Langley, VA.
Hatanaka, A., and Tanaka, H. (2002). “New estimation method of aerodynamic admittance function.” J. Wind Eng. Ind. Aerodyn., 90(12–15), 2073–2086.
Hatanaka, A., and Tanaka, H. (2008). “Aerodynamic admittance functions of rectangular cylinders.” J. Wind Eng. Ind. Aerodyn., 96(6–7), 945–953.
Kawatai, M., and Kim, H. (1992). “Evaluation of aerodynamic admittance for buffeting analysis.” J. Wind Eng. Ind. Aerodyn., 41(1–3), 613–625.
Larose, G. L. (1999). “Experimental determination of the aerodynamic admittance of a bridge deck segment.” J. Fluids Struct., 13(7), 1029–1040.
Larose, G. L., and Mann, J. (1998). “Gust loading on streamlined bridge decks.” J. Fluids Struct., 12(5), 511–536.
Li, S. H. (2009). “Identification method of aerodynamic admittance of bridge decks based on force measurement tests in oscillating airfoil grid-generated flows.” M.Phil. dissertation, Tongji Univ., Shanghai Shi, China.
Macdonald, J. H. G. (2003). “Evaluation of buffeting predictions of a cable-stayed bridge from full-scale measurements.” J. Wind Eng. Ind. Aerodyn., 91(12–15), 1465–1483.
Matsuda, K., Hikami, Y., Fujiwara, T., and Moriyama, A. (1999). “Aerodynamic admittance and the ‘strip theory’ for horizontal buffeting forces on a bridge deck.” J. Wind Eng. Ind. Aerodyn., 83(1–3), 337–346.
Matsumoto, M., Yagi, T., Tamaki, H., and Tsubota, T. (2008). “Vortex-induced vibration and its effect on torsional flutter instability in the case of B/D = 4 rectangular cylinder.” J. Wind Eng. Ind. Aerodyn., 96(6–7), 971–983.
Minh, N. N., Miyata, T., Yamada, H., and Sanada, Y. (1999). “Numerical simulation of wind turbulence and buffeting analysis of long-span bridges.” J. Wind Eng. Ind. Aerodyn., 83(1–3), 301–315.
Nieto, F., Hargreaves, D. M., and Owen, J. S. (2015). “On the applicability of 2D URANS and SST k-ω turbulence model to the fluid-structure interaction of rectangular cylinders.” Eng. Appl. Comput. Fluid Mech., 9(1), 157–173.
Øiseth, O., Rönnquist, A., and Sigbjörnsson, R. (2011). “Time domain modeling of self-excited aerodynamic forces for cable-supported bridges: A comparative study.” Comput. Struct., 89(13–14), 1306–1322.
Rasmussen, J. T., Hejlesen, M. M., Larsen, A., and Walther, J. H. (2010). “Discrete vortex method simulations of the aerodynamic admittance in bridge aerodynamics.” J. Wind Eng. Ind. Aerodyn., 98(12), 754–766.
Sankaran, R., and Jancauskas, E. D. (1992). “Direct measurement of the aerodynamic admittance of two-dimensional rectangular cylinders in smooth and turbulent flows.” J. Wind Eng. Ind. Aerodyn., 41(1–3), 601–611.
Scanlan, R. H. (2000). “Motion-related body-force functions in two-dimensional low-speed flow.” J. Fluids Struct., 14(1), 49–63.
Scanlan, R. H., and Jones, N. P. (1999). “A form of aerodynamic admittance for use in bridge aeroelastic analysis.” J. Fluid Struct., 13(7–8), 1017–1027.
Scanlan, R. H., and Tomko, J. J. (1971). “Airfoil and bridge deck flutter derivatives.” J. Engrg. Mech. Div., 97(6), 1717–1737.
Sears, W. R. (1941). “Some aspects of non-stationary airfoil theory and its practical application.” J. Aeronaut. Sci., 8(3), 104–108.
Tan, Z. X., Zhu, L. D., and Xu, Z. R. (2015). “Comparison between aerodynamic admittances identified via force and pressure measurement tests.” J. Exp. Fluid Mech., 29, 35–40 (in Chinese).
Theodorsen, T. (1935). General theory of aerodynamic instability and the mechanism of flutter, U.S. Advisory Committee for Aeronautics, Langley, VA.
Tubino, F. (2005). “Relationships among aerodynamic admittance functions, flutter derivatives and static coefficients for long-span bridges.” J. Wind Eng. Ind. Aerodyn., 93(12), 929–950.
Xu, Y. L., Sun, D. K., Ko, J. M., and Lin, J. H. (2000). “Fully coupled buffeting analysis of Tsing Ma suspension bridge.” J. Wind Eng. Ind. Aerodyn., 85(1), 97–117.
Xu, Z. R., Zhou, Q., and Zhu, L. D. (2014). “Identification of aerodynamic admittances by considering the effect of incomplete span-wise correlation of buffeting forces on section model.” J. Exper. Fluid Mech., 28(5), 39–46 (in Chinese).
Zhang, Z. T., and Chen, Z. Q. (2012). “Rationality analysis of some existing aerodynamic admittance models for bridge deck sections.” China Civ. Eng. J., 45(8), 104–113 (in Chinese).
Zhang, Z. T., Ge, Y. J., and Chen, Z. Q. (2006). “A new aerodynamic method using in long-span bridge buffeting analysis.” Eng. Mech., 94–101 (in Chinese).
Zhang, Z. T., Ge, Y. J., and Zhang, W. F. (2013). “Superposability of unsteady aerodynamic loads on bridge deck sections.” J. Central South Univ., 20(11), 3202–3215.
Zhu, L. D., Wang, M., Wang, D. L., Guo, Z. S., and Cao, F. C. (2007). “Flutter and buffeting performances of Third Nanjing Bridge over Yangtze River under yaw wind via aeroelastic model test.” J. Wind Eng. Ind. Aerodyn., 95(9–11), 1579–1606.
Zhu, Q., and Xu, Y. L. (2014). “Characteristics of distributed aerodynamic forces on a twin-box bridge deck.” J. Wind Eng. Ind. Aerodyn., 131, 31–45.
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Published In
Journal of Bridge Engineering
Volume 22 • Issue 10 • October 2017
Copyright
© 2017 American Society of Civil Engineers.
History
Received: Nov 1, 2016
Accepted: May 8, 2017
Published online: Jul 28, 2017
Published in print: Oct 1, 2017
Discussion open until: Dec 28, 2017
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