TECHNICAL PAPERS
Jul 1, 1998

Aerodynamic Control of Bridge Deck Flutter by Active Surfaces

Publication: Journal of Engineering Mechanics
Volume 124, Issue 7

Abstract

An active aerodynamic control method of suppressing flutter of a very-long-span bridge is presented in this paper. The control system consists of additional control surfaces attached to the bridge deck; their torsional movement, commanded via feedback control law, is used to generate stabilizing aerodynamic forces. The frequency independent formulation of unsteady aerodynamic forces acting on the bridge deck as well as the control surfaces is derived through rational function approximation. The high precision of approximation is ensured by multilevel linear and nonlinear constrained optimization. Although the proposed mathematical model of aeroservoelastic system is augmented by new aerodynamic states, it is in the form of a set of constant coefficient differential equations that are particularly convenient for control law synthesis. The obtained equations of motion are functions of mean wind speed so the efficiency of application of the conventional constant gain optimal feedback control is limited. To cope with the system dependence on wind speed, a variable-gain control is proposed. The static output variable-gain approach is formulated in terms of a mathematical optimization problem and the necessary conditions are derived. Application of the variable-gain control provides variation of control strategies in different wind velocities and is found to be efficient for the studied aerodynamic active control of bridge deck flutter.

Get full access to this article

View all available purchase options and get full access to this article.

References

1.
Branceleoni, F. (1992). “The construction phase and its aerodynamic issues.”Aerodynamics of large bridges, A. Larsen, ed., A. A. Balkema, Rotterdam, The Netherlands, 147–158.
2.
Dunn, H. (1980). “An analytical technique for approximating unsteady aerodynamics in the time domain.”NASA TP-1738, National Aeronautics and Space Administration, Washington, D.C.
3.
Fujino, Y., Iwamoto, M., Ito, M., and Hikami, Y. (1992). “Wind tunnel experiments using 3D models and response prediction for a long-span suspension bridge.”J. Wind Engrg. and Industrial Aerodynamics, 41–44, 1333–1344.
4.
Halyo, N., Moerder, D., Broussard, J., and Taylor, D. (1989). “A variable-gain output feedback control design approach.”Proc., AIAA Guidance, Navigation Conf., American Institute of Aeronautics and Astronautics, Reston, Va.
5.
Karpel, M. (1981). “Design for active and passive flutter suppression and gust alleviation.”NASA CR-3482, National Aeronautics and Space Administration, Washington, D.C.
6.
Kobayashi, H., and Nagaoka, H. (1992). “Active control of flutter of a suspension bridge.”J. Wind Engrg. and Industrial Aerodynamics, 41–44, 143–151.
7.
Larsen, A. (1995). “Prediction of aeroelastic stability of suspension bridges during erection.”9th Int. Conf. on Wind Engrg. Proc., Vol. 2, Wiley Eastern Limited, New Delhi, India, 917–927.
8.
Levine, W., and Athans, M. (1970). “On the determination of the optimal constant output feedback gains for linear multivariable system.”IEEE Trans. Automatic Control, AC-15(1), 44–48.
9.
Moevder, D., and Calise, A. (1985). “Convergence of numerical algorithm for calculating optimal output feedback gain.”IEEE Trans. Automatic Control, AC-30(9), 900–903.
10.
Murata, M., and Ito, M.(1971). “Suppression of wind induced vibration of a suspension bridge by means of a gyroscope.”Wind Effects on Build. and Struct., 4(40), 1–10.
11.
Nobuto, J., Fujino, Y., and Ito, M. (1988). “A study on the effectiveness of TMD to suppress a coupled flutter of bridge deck.”J. Struct. Mech. and Earthquake Engrg., Tokyo, Japan, No. 398/I-10, 413–416 (in Japanese).
12.
Ostenfeld, K., and Larsen, A. (1992). “Bridge engineering and aerodynamics.”Aerodynamics of large bridges, A. Larsen, ed., A. A. Balkema, Rotterdam, The Netherlands, 3–22.
13.
Ostroff, A.(1992). “High-alpha application of variable-gain output feedback control.”J. Guidance, Control and Dyn., 15(2), 491–497.
14.
Roberts, G. (1966). “The Severn Bridge. A new principle in design.”Proc., Int. Symp. on Suspension Bridges, Laboratorio Nacional de Engenharia Civil, Lisbon, Portugal, 629–639.
15.
Roger, K. (1977). “Airplane math modeling methods for active control design.”AGARD-CP-228, Struct. Aspects of Active Controls, August, 4-1–4-11.
16.
Scanlan, R., and Tomko, J.(1971). “Airfoil and bridge deck flutter derivatives.”J. Engrg. Mech. Div., ASCE, 97(6), 1717–1737.
17.
Simiu, E., and Scanlan, R. (1986). Wind effects on structures. John Wiley & Sons, Inc., New York, N.Y.
18.
Theodorsen, T. (1935). “General theory of aerodynamic instability and the mechanism of flutter.”NACA Rep. 496, National Advisory Committee for Aeronautics, Washington, D.C.
19.
Tiffany, S., and Adams, W. (1988). “Nonlinear programming extensions to rational function approximation methods for unsteady aerodynamic forces.”NASA TP-2826, National Aeronautics and Space Administration, Washington, D.C.
20.
Wilde, K., Fujino, Y., and Masukawa, J. (1996a). “Time domain modeling of bridge deck flutter.”J. Struct. Engrg., Tokyo, Japan, 13, 93s–104s.
21.
Wilde, K., Fujino, Y., and Prabis, V. (1996b). “Effects of eccentric mass on flutter of long span bridge.”Proc., 2nd Int. Workshop on Struct. Control, Research Centre, The Hong Kong University of Science and Technology, Hong Kong, 564–574.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 124Issue 7July 1998
Pages: 718 - 727

History

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

Permissions

Request permissions for this article.

Authors

Affiliations

K. Wilde
Asst. Prof., Dept. of Civ. Engrg., Univ. of Tokyo, Bunkyo-ku, Tokyo 113, Japan.
Y. Fujino, Member, ASCE
Prof., Dept. of Civ. Engrg., Univ. of Tokyo, Bunkyo-ku, Tokyo 113, Japan.

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share