TECHNICAL PAPERS
Nov 1, 1987

Passive Control of Nonlinear Oscillations in Bridges

Publication: Journal of Engineering Mechanics
Volume 113, Issue 11

Abstract

This paper shows how to design the parameters of a passive control mechanism in order to keep bridges safe at all possible resonant frequencies caused by nonlinear effects due to midplane stretching. The control mechanism is a king‐post truss tendon mechanism. It is basically chosen to shift the natural frequencies of the bridge away from possible resonances. However, the structural parameters of this mechanism can be designed to eliminate or reduce the nonlinear effects on the primary‐resonant responses of bridges. The design has been made using a perturbation technique for a hinged‐hinged single‐span bridge.

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References

1.
Abdel‐Rohman, M. (1982). “Active control of large structures.” J. Engrg. Mech. Div., ASCE, 108(EM5), 719–730.
2.
Abdel‐Rohman, M. (1985). “The feasbility of active control of tall buildings,” presented at the Second Int. Symp. on Structural Control, University of Waterloo, Ontario, Canada, July.
3.
Abdel‐Rohman, M., and Leipholz, H. H. (1978). “Active control of flexible structures.” J. Struct. Div., ASCE, 104(ST8), 1251–1266.
4.
Abdel‐Rohman, M., and Leipholz, H. H. (1980). “Automatic active control of structures.” J. Struct. Div., ASCE, 106(ST3), 663–677.
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Frýba, L. (1980). Vibrations of solids and structures under moving loads. Noordhoff, Groningen, Netherlands.
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Nayfeh, A. H. (1973). Perturbation methods. Wiley‐Interscience, New York, N.Y.
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Nayfeh, A. H. (1981). Introduction to perturbation techniques. Wiley‐Interscience, New York, N.Y.
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Nayfeh, A. H. (1986). “Perturbation methods in nonlinear dynamics.” Nonlinear dynamics aspects of particle accelerators; Lecture notes in physics No. 247, Springer‐Verlag, New York, N.Y., 238–314.
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Nayfeh, A. H., and Mook, D. T. (1979). Nonlinear Oscillations. Wiley‐Interscience, New York, N.Y.

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Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 113Issue 11November 1987
Pages: 1694 - 1708

History

Published online: Nov 1, 1987
Published in print: Nov 1987

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Authors

Affiliations

Mohamed Abdel‐Rohman, Member, ASCE
Visiting Sci., Dept. of Engrg. Sci. and Mech., Virginia Polytechnic Inst. and State Univ., Blacksburg, VA 24061; and Assoc. Prof., Civ. Engrg. Dept., Kuwait Univ., Kuwait
Ali H. Nayfeh
University Distinguished Prof., Dept. of Engrg. Sci. and Mech., Virginia Polytechnic Inst. and State Univ., Blacksburg, VA 24061

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