[en] The phenomenon of aeroelastic galloping is a very important design consideration for bridges and other slender structures. It has been investigated by a number of researchers but, most frequently, the analysis is limited to quasi-steady aerodynamic and linearized aeroelastic considerations. Such treatment has been shown to be effective for simple cross-sectional shapes, such as rectangles.
In this work, an aeroelastic model of a realistic bridge deck cross-section is tested in a low speed wind tunnel. Both static and dynamic tests are carried out and the resulting force and vibration measurements are presented. The static force results are used to set up a quasi-steady mathematical model. The dynamic responses are used to draw a complete bifurcation diagram within a chosen airspeed range and to discuss the stability of the system.
It is shown that the experimental system undergoes a subcritical Hopf bifurcation, its phase space including both a stable and an unstable limit cycle. As consequence, throughout the chosen airspeed, the system can either remain stable or undergo limit cycle oscillations.
The quasi-steady analysis fails completely in capturing this type of behaviour. The predicted galloping onset speed is too conservative and the predicted oscillation amplitudes too high. The reason for this failure is the fact that the quasi-steady mathematical model is incapable of modelling subcritical Hopf bifurcations.
Disciplines :
Civil engineering
Author, co-author :
Andrianne, Thomas ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Département d'aérospatiale et mécanique
Dimitriadis, Grigorios ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Interactions Fluide-Structure - Aérodynamique expérimentale
Language :
English
Title :
Experimental Analysis of the Bifurcation Behaviour of a Bridge Deck Undergoing Across-Wind Galloping
Publication date :
05 July 2011
Event name :
8th International Conference on Structural Dynamics, EURODYN 2011
Event organizer :
European Association for Structural Dynamics (EASD) Katholieke Universiteit Leuven (KUL) Technological Institute of the Royal Flemish Society of Engineers (TI KVIV)
Event place :
Leuven, Belgium
Event date :
from 04-07-2011 to 06-07-2011
Audience :
International
Main work title :
Proceedings of the 8th International Conference on Structural Dynamics, EURODYN 2011
P. Parkinson and J. D. Smith, "The square prism as an aeroelastic non-linear oscillator," Quarterly Journal of Mathematical and Applied Mathematics, Vol. 17, no. 2, pp. 225-239, 1964.
G. Parkinson, "Phenomena and modelling of flow-induced vibrations of bluff bodies," Progress in Aerospace Sciences, Vol. 26, no. 2, pp. 169-224, 1989.
Y. J. Ge, Z. X. Lin, F. C. Cao, J. B. Pang, and H. F. Xiang, "Investigation and prevention of deck galloping oscillation with computational and experimental techniques," Journal of Wind Engineering and Industrial Aerodynamics, Vol. 90, no. 12-15, pp. 2087-2098, 2002.
S. C. Luo, Y. T. Chew, and Y. T. Ng, "Hysteresis phenomenon in the galloping oscillation of a square cylinder," Journal of Fluids and Structures, Vol. 18, no. 1, pp. 103-118, 2003.
P. Pheinsusom, Y. Fujino, and M. Ito, "Galloping of tower-like structure with two closely-spaced natural frequencies," Journal of Wind Engineering and Industrial Aerodynamics, Vol. 32, no. 1-2, pp. 189-198, 1989.
S. M. S. Alam, K. Yamada, and S. Baba, "A kalman filter approach for galloping control of a bridge tower," Computers and Structures, Vol. 57, no. 1, pp. 67-79, 1995.
K. Ogawa, T. Ide, and T. Saitou, "Application of impact mass damper to a cable-stayed bridge pylon," Journal of Wind Engineering and Industrial Aerodynamics, Vol. 72, pp. 301-312, 1997.
T. Kazama, Y. Momiyama, Y. Suzuki, A. Honda, and S. Hirai, "Aerodynamic stability of nagoya port bridges," Journal of Wind Engineering and Industrial Aerodynamics, Vol. 49, no. 1-3, pp. 543-552, 1993.
F. Yoshizumi and H. Inoue, "An experimental approach on aerodynamic stability of a cable-stayed cantilever bridge," Journal of Wind Engineering and Industrial Aerodynamics, Vol. 90, no. 12-15, pp. 2099-2111, 2002.
S. Hirai, A. Honda, H. Kato, O. Yoshida, and I. Okauchi, "Aerodynamic stability of trans-tokyo bay bridge," Journal of Wind Engineering and Industrial Aerodynamics, Vol. 49, no. 1-3, pp. 487-496, 1993.
B. W. van Oudheusden, "Aerodynamic stiffness effects in rotational galloping at high wind speeds," Journal of Wind Engineering and Industrial Aerodynamics, Vol. 64, no. 1, pp. 31-46, 1995.
G. A. Vio, G. Dimitriadis, and J. E. Cooper, "A comparison of bifurcation and lco amplitude prediction methods applied to the aeroelastic galloping problem," Journal of Fluids and Structures, Vol. 23, no. 7, pp. 983-1011, 2007.
H. Lindner, "Simulation of the turbulence influence on galloping vibrations," Journal of Wind Engineering and Industrial Aerodynamics, Vol. 43, no. 1-3, pp. 2023-2034, 1992.
J.P. Den Hartog, "Transmission line vibration due to sleet," Trans. A.I.E.E., Vol. 49, 1930.
T. Andrianne and G. Dimitriadis, "Experimental analysis of stall flutter phenomena of a bridge deck," in Proceedings of the 8th National Congress on Theoretical and Applied Mechanics, NCTAM 2009, Brussels, Belgium, May 2009.
Y. A. Kuznetsov, Elements of Applied Bifurcation Theory, Springer, New York Berlin Heidelberg, 2nd edition, 1998.
E. H. Dowell and D. Tang, "Nonlinear aeroelasticity and unsteady aerodynamics," AIAA Journal, Vol. 40, no. 9, pp. 1697-1707, 2002.