Torsional Response of Long Span Bridges in Presence of Turbulence
Publication: Journal of Engineering Mechanics
Volume 113, Issue 3
Abstract
The effects of spanwise wind correlation and turbulence intensity on the stability of the torsional response of long span bridges are studied. An aerodynamic coefficient model is used for the self‐excited forces. Wind turbulence is assumed to be a wide‐band, weakly stationary in time, random field whose correlation time is much shorter than the relaxation time of the bridge. The equation for the uncoupled torsional response is transformed into an Ito stochastic differential equation. The first‐ and second‐order moments of the response are obtained using standard methods of Ito calculus. An application is presented for the case of a particular long span bridge. Different levels of turbulence and spanwise wind correlation are used. For a constant turbulence level, reducing the spanwise correlation increases the critical wind velocity. For a constant spanwise correlation, increasing the turbulence level reduces the critical wind velocity.
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References
1.
Arnold, L. (1974). Stochastic differential equations: theory and applications, John Wiley and Sons, New York, N.Y.
2.
Beliveau, J. G., Vaicaitis, R., and Shinozuka, M. (1972). “Motion of suspension bridge subject to wind loads.” J. Struct. Div., ASCE, 103(6), 1189–1205.
3.
Cummings, I. G. (1967). “Derivation of the moments of a continuous stochastic system.” Int. J. Control, 5(1), 85–90.
4.
Davenport, A. G. (1981). “Reliability of long span bridges under wind loading.” Proceedings of international conference on structural safety and reliability '81, Trondheim, Norway, June 23–25, 679–694.
5.
It⊚, M., and Fujino, Y. (1985). “A probabilistic study of torsional flutter of suspension bridge under fluctuating wind load.” Proceedings of ICOSSAR '85, Tokyo, Japan.
6.
Lin, Y. K. (1979). “Motion of suspension bridges in turbulent winds.” J. Eng. Mech. Div., ASCE, 105(6), 921–932.
7.
Lin, Y. K., and Ariaratnam, S. T. (1980). “Stability of bridge motion in turbulent winds.” J. Struct. Mech., 8(1), 1–15.
8.
Scanlan, R. H. (1975). “Theory of the wind analysis of long‐span bridges based on data obtainable from section model tests.” Proceedings of the 4th international conference on wind effects on buildings and structures, Cambridge University Press, Cambridge, England, 259–269.
9.
Scanlan, R. H. (1978). “The action of flexible bridges under wind, I: flutter theory.” J. Sound Vib., 60(2), 187–199.
10.
Scanlan, R. H. (1984). “Role of indicial functions in buffeting analysis of bridges.” J. Struct. Eng., ASCE, 110(7), 1433–1446.
11.
Scanlan, R. H., Beliveau, J. G., and Budlong, K. S. (1974). “Indicial aerodynamic functions for bridge decks.” J. Eng. Mech. Div., ASCE, 100(4), 657–672.
12.
Scanlan, R. H., and Gade, R. H. (1977). “Motion of suspended bridge spans under gust wind.” J. Struct. Div., ASCE, 103(9), 1867–1883.
13.
Scanlan, R. H., and Huston, D. R. (1986). “Changes in bridge deck flutter derivatives caused by turbulence.”Proceedings of the 3rd ASCE‐engineering mechanics division specialty conference on dynamic response of structures, ASCE, 382–389.
14.
Scanlan, R. H., and Lin, W. H. (1978). “Effects of turbulence on bridge flutter derivatives.” J. Eng. Mech. Div., ASCE, 104(4), 719–733.
15.
Scanlan, R. H., and Tomko, J. T. (1971). “Airfoil and bridge deck flutter derivatives.” J. Eng. Mech. Div., ASCE, 97(6), 1717–1737.
16.
Stratonovich, R. L. (1966). “A new representation for stochastic integrals and equations.” SIAM J. Control, 4(2), 362–371.
17.
Wong, E., and Zakai, M. (1965). “On the relation between ordinary and stochastic differential equations.” Int. J. Eng. Sci., 3(2), 213–229.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 113 • Issue 3 • March 1987
Pages: 303 - 314
Copyright
Copyright © 1987 ASCE.
History
Published online: Mar 1, 1987
Published in print: Mar 1987
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