Control of Flutter in Bridges
Publication: Journal of Engineering Mechanics
Volume 113, Issue 5
Abstract
The suppression of the flutter instability of a suspension bridge by means of feedback control is studied. To this end, the mathematical model considered consists of the midsection of a bridge, assumed to be fixed at the bridge towers. The partial differential equations of motion can be converted into a set of second‐order ordinary differential equations by using Galerkin's method. The design of optimal control is carried out by the independent modal‐space control method. The closed‐loop eigenvalues are selected so that the unstable flutter mode acquires a negative real part while the open‐loop frequency remains unchanged. A numerical example is given in which the flutter of a suspension bridge deck having aerodynamic characteristics similar to those of the original Tacoma Narrows Bridge is controlled.
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References
1.
Bowers, N. A., “Tacoma Narrows Bridge Wrecked by Wind,” Engineering News Record, Nov. 14, 1940, pp. 647 and 656.
2.
Fung, Y. C., An Introduction to the Theory of Aeroelasticity, Dover Publications, Inc., New York, N.Y., 1969.
3.
Meirovitch, L., Computational Methods in Structural Dynamics, Sijthoff‐Noordhoff, Netherlands, 1980.
4.
Simiu, E., and Scanlan, R. H., Wind Effects on Structures: An Introduction to Wind Engineering, John Wiley and Sons, New York, N.Y., 1978.
5.
Scanlan, R. H., and Tomko, J. J., “Airfoil and Bridge Deck Flutter Derivatives,” Journal of Engineering Mechanics, ASCE, Dec., 1972, pp. 1717–1737.
6.
Kirk, D. E., Optimal Control Theory, Prentice‐Hall Inc., Englewood Cliffs, N.J., 1970.
7.
Meirovitch, L., and Baruh, H., “Optimal Control of Damped Flexible Gyroscopic Systems,” Journal of Guidance and Control, Vol. 4, No. 2, Mar.–Apr., 1981, pp. 157–163.
8.
Meirovitch, L., and Silverberg, L. M., “Control of Non‐Self‐Adjoint Distributed Parameter Systems,” Journal of Optimization Theory and Applications, Vol. 47, No. 1, 1985, pp. 77–90.
9.
Potter, J. E., “Matrix Quadratic Solution,” SIAM Journal of Applied Mathematics, Vol. 14, 1966, pp. 496–501.
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Copyright © 1987 ASCE.
History
Published online: Jan 1, 1987
Published in print: Jan 1987
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