TECHNICAL PAPERS
Jun 1, 1993

Estimation Curve for Modal Damping in Stay Cables with Viscous Damper

Publication: Journal of Structural Engineering
Volume 119, Issue 6

Abstract

To simplify the procedure of designing viscous dampers for stay cables in bridges, a universal estimation curve is proposed that relates the modal damping ratio of the cable with attached damper, the mode number, the damper size, the damper location, and three parameters of the cable: span, mass per unit length, and fundamental frequency. The curve is obtained from numerical complex‐eigenvalue analysis of a taut cable with a single damper near the anchorage, with judicious grouping of these parameters into nondimensional factors. Several numerical examples illustrate the convenient use of this design aid, as well as show realistic values of the required damper size and location and the expected additional damping in the first few modes. The damping to be attained is usually high enough to suppress most vibrations induced by wind. However it is noted that a small sag of the cable and slight nonviscous properties of the damper may reduce the damper effectiveness. A modified design curve may have to incorporate these parameters to provide better accuracy.

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References

1.
Gimsing, N. J. (1983). Cable‐Supported Bridges. John Wiley & Sons, Chichester, England.
2.
Irvine, H. M. (1981). Cable Structures. MIT Press, Cambridge, Mass.
3.
Kovacs, I. (1982). “Zur frage der seilschwingungen und der seildampfung.” Die Bautechnik, 10, 325–332 (in German).
4.
Meirovitch, L. (1980). Computational methods in structural dynamics. Sijthoff and Noordhoff, Alphen aan den Rijn, The Netherlands.
5.
Pacheco, B. M., and Fujino, Y. (1989). “Perturbation technique to approximate the effect of damping non‐proportionality in modal dynamic analysis.” J. Structural Engrg./Earthquake Engrg., Japan Society of Civil Engineers, Tokyo, Japan, 6(1), 169s–178s.
6.
Sulekh, A. (1990). Non‐dimensional curves for modal damping in stay cables with viscous dampers, MS thesis, Dept. of Civil Eng., Univ. of Tokyo, Tokyo, Japan.
7.
Uno, K., Kitagawa, S., Tsutsumi, H., Inoue, A., and Nakaya, S. (1991). “A simple method of designing cable vibration dampers of cable‐stayed bridges.” J. Struct. Engrg., Japan Society of Civil Engineering, Tokyo, Japan, 37A, 789–798.
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Watson, S. C., and Stafford, D. (1988). “Cables in trouble.” Civil Engineering, ASCE, 58(4), 38–41.
9.
Yoneda, M., and Maeda, K. (1989). “A study on practical estimation method for structural damping of stay cable with damper.” Proc., Canada‐Japan Workshop on Bridge Aerodynamics, Ottawa, Canada, 119–128.
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Yoshimura, T., Inoue, A., Kaji, K., and Savage, M. (1989). “A study on the aerodynamic stability of the Aratsu Bridge.” Proc. Canada‐Japan Workshop on Bridge Aerodynamics, Ottawa, Canada, 41–50.

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Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 119Issue 6June 1993
Pages: 1961 - 1979

History

Received: Feb 2, 1991
Published online: Jun 1, 1993
Published in print: Jun 1993

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Authors

Affiliations

Benito M. Pacheco, Member, ASCE
Sr. Engr., Ammann & Whitney Consulting Engineers, New York, NY 10014‐3390
Formerly, Assoc. Prof., Univ. of Tokyo
Yozo Fujino, Member, ASCE
Prof., Dept. of Civ. Engrg., Univ. of Tokyo, Bunkyo‐ku, Tokyo, Japan 113
Ajai Sulekh
Engr., Taisei Corp., Nishi‐Shinjuku, Tokyo, Japan 163
Formerly Grad. Student, Univ. of Tokyo

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