TECHNICAL PAPERS
Apr 1, 1998

Bridge Flutter Derivatives at Vortex Lock-In

Publication: Journal of Structural Engineering
Volume 124, Issue 4

Abstract

Many structures with extended spans undergo the flow-induced oscillation commonly called vortex shedding. In the case of long-span bridges, Ehsan and Scanlan, employing basic data from deck section wind tunnel model tests, offered a nonlinear theoretical framework for predicting maximum vortex-induced amplitude under the lock-in condition. The present paper replaces the Ehsan-Scanlan model with a linearized form that brings it into conformity with the familiar flutter derivative expressions now commonly used in bridge wind-stability analyses. The essential new addition is an active sinusoidal lift term. Converting some of the Ehsan-Scanlan experimental section data to the new form, the suggested replacement model successfully reidentifies the range of original Tacoma Narrows vortex-induced response amplitudes that were experimentally obtained by Farquharson on a full-bridge model. Either vertical or torsional motions at vortex lock-in can be assayed by the method discussed.

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References

1.
Billah, K. Y., and Scanlan, R. H.(1991). “Resonance, Tacoma Narrows Bridge failure, and undergraduate physics textbooks.”Am. J. Phys., 59(2), 118–124.
2.
Ehsan, F. (1988). “The vortex-induced response of long, suspended-span bridges,” PhD dissertation, Dept. of Civ. Engrg., Johns Hopkins University, Baltimore, Md.
3.
Ehsan, F., and Scanlan, R. H.(1990). “Vortex-induced vibration of flexible bridges.”J. Engrg. Mech., ASCE, 116(6), 1392–1411.
4.
Farquharson, F. B., ed. (1950). “Aerodynamic stability of suspension bridges.” Part II, Bull. 116, Univ. of Washington Engrg. Experiment Station, Seattle, Wash. (Parts I–V were published 1949–1954).
5.
Farquharson, F. B., ed. (1952). “Aerodynamic stability of suspension bridges.” Part III, Bull. 116, Univ. of Washington Engrg. Experiment Station, Seattle, Wash. (Parts I–V were published 1949–1954).
6.
Gupta, H., Sarkar, P. P., and Mehta, K. C.(1996). “Identification of vortex-induced response parameters in time domain.”J. Engrg. Mech., ASCE, 122(11), 1031–1037.
7.
Kumarasena, T. (1989). “Wind response prediction of long-span bridges,” PhD dissertation, Dept. of Civ. Engrg., Johns Hopkins University, Baltimore, Md.
8.
Scanlan, R. H., and Tomko, J.(1971). “Airfoil and bridge deck flutter derivatives.”J. Engrg. Mech. Div., ASCE, 97(6), 1717–1737.
9.
Wardlaw, R. L. (1971). “Some approaches for improving the aerodynamic stability of bridge road decks.”Proc., Wind Effects on Build. and Struct., Saikon, Ltd., Tokyo, 931–940.

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Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 124Issue 4April 1998
Pages: 450 - 458

History

Published online: Apr 1, 1998
Published in print: Apr 1998

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Authors

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Robert H. Scanlan, Honorary Member, ASCE
Prof. of Civ. Engrg., Johns Hopkins Univ., Baltimore, MD 21218.

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