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TECHNICAL PAPERS

Vibrations of a Taut Cable With an External Damper

[+] Author and Article Information
S. Krenk

Department of Structural Engineering and Materials, Technical University of Denmark, DK-2800 Lyngby, Denmark

J. Appl. Mech 67(4), 772-776 (May 02, 2000) (5 pages) doi:10.1115/1.1322037 History: Received August 12, 1999; Revised May 02, 2000
Copyright © 2000 by ASME
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References

Irvine, H. M., 1981, Cable Structures, M.I.T. Press, Cambridge, MA.
Watson,  S. C., and Stafford,  D., 1988, “Cables in Trouble,” Civil Engineering ASCE, 58, No. 4, pp. 38–41.
Yamaguchi, H., and Fujino, Y., 1998, “Stayed Cable Dynamics and Its Vibration Control,” Bridge Aerodynamics, A. Larsen and S. Esdahl, eds., Balkma, Rotterdam, pp. 235–253.
Yamaguchi,  H., and Jayawardena,  L., 1992, “Analytical Estimation of Structural Damping in Cable Structures,” Journal of Wind Engineering and Industrial Aerodynamics, 43, pp. 1961–1972.
Gimsing, N. J., 1997, Cable Supported Bridges, 2nd Ed., Wiley, Chichester,
Kovacs,  I., 1982, “Zur Frage der Seilschwigungen und der Seildampfung,” Die Bautechnik, 59, No. 10, pp. 325–332.
Pacheco,  B. N., Fujino,  Y., and Sulekh,  A., 1993, “Estimation Curve for Modal Damping in Stay Cables With Viscous Damper,” J. Struct. Eng., 119, pp. 1961–1979.
Baker, G. A., Johnson, E. A., Spencer, B. F., and Fujino, Y. 1999, “Modeling and Semiactive Damping of Stay Cables,” 13’th ASCE Engineering Mechanics Division Conference, Johns Hopkins University, Baltimore MD, June 13–16.
Singh,  R., Lyons,  W. M., and Prater,  G., 1989, “Complex Eigensolution for Longitudinally Vibrating Bars With a Viscously Damped Boundary,” J. Sound Vib., 133, pp. 364–367.
Hull,  A. J., 1994, “A Closed Form Solution of a Longitudinal Bar With a Viscous Boundary Layer,” J. Sound Vib., 169, pp. 19–28.
Oliveto,  G., Santini,  A., and Tripodi,  E., 1997, “Complex Modal Analysis of a Flexural Vibrating Beam With Viscous End Conditions,” J. Sound Vib., 200, pp. 327–345.
Yang,  B., and Wu,  X., 1997, “Transient Response of One-Dimensional Distributed Systems: A Closed Form Eigenfunction Expansion Realization,” J. Sound Vib., 208, pp. 763–776. UK.

Figures

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Taut cable with external viscous damper
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The asymptotic modal damping relation (23)
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Damping ratio of the first five modes; (a) a/l=0.02, (b) a/l=0.05
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Iteration convergence of first five modes; (a) a/l=0.02, (b) a/l=0.05.
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Optimal modal damping for a/l=0.05. Curves from Fig. 3(b) and estimates from (29).
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First complex mode a/l=0.1 and η=ηopt; (a) quarter period from max v(a), (b) half period from max v(1/2a).

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