Active Control of Nonlinear Oscillations in Bridges
Publication: Journal of Engineering Mechanics
Volume 113, Issue 3
Abstract
In this paper, the nonlinear oscillations of a hinged‐hinged single‐span bridge due to midplane stretching is controlled by a combined active and passive control mechanism. The passive control enables one to shift to a certain extent the bridge natural frequencies away from resonant frequencies. In the presence of the difficulty of shifting the natural frequencies away from any expected resonant frequency, the active control provides an active damping that limits the peak amplitude and improves the oscillation response. It is shown how to design the parameters of the control mechanism that eliminate the nonlinear effects on the response of the structure. The control mechanism used is a king‐post truss tendon mechanism.
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References
1.
Abdel‐Rohman, M., and Nayfeh, A. H., “Passive Control of Nonlinear Oscillations in Bridges,” Submitted to Journal of Engineering Mechanics.
2.
Abdel‐Rohman, M., and Leipholz, H. H., “Active Control of Flexible Structures,” Journal of the Structural Division, ASCE, Vol. 104, No. ST8, Aug., 1978, pp. 1251–1266.
3.
Abdel‐Rohman, M., “The Feasibility of Active Control of Tall Buildings,” presented at the 2nd International Symposium on Structural Control, University of Waterloo, Ontario, Canada, held July 15–17, 1985.
4.
Abdel‐Rohman, M., and Leipholz, H. H., “Active Control of Tall Buildings,” Journal of Structural Engineering, ASCE, Vol. 109, No. ST3, Mar., 1983, pp. 628–645.
5.
Abdel‐Rohman, M., and Leipholz, H. H., “Optimal Feedback Control of Elastic Distributed Parameter Structures,” Journal of Computer and Structures, Vol. 19, No. 5/6, 1984, pp. 801–805.
6.
Abdel‐Rohman, M., and Leipholz, H. H., “Automatic Active Control of Structures,” Journal of the Structural Division, ASCE, Vol. 106, No. ST3, Mar., 1980, pp. 663–677.
7.
Nayfeh, A. H., Perturbation Methods, Wiley‐Interscience, New York, N.Y., 1973.
8.
Nayfeh, A. H., and Mook, D. T., Nonlinear Oscillations, Wiley‐Interscience, New York, N.Y., 1979.
9.
Nayfeh, A. H., Introduction to Perturbation Techniques, Wiley‐Interscience, New York, N.Y., 1981.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 113 • Issue 3 • March 1987
Pages: 335 - 348
Copyright
Copyright © 1987 ASCE.
History
Published online: Mar 1, 1987
Published in print: Mar 1987
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