TECHNICAL PAPERS
Nov 1, 2007

Analytical Study on Bending Effects in a Stay Cable with a Damper

Publication: Journal of Engineering Mechanics
Volume 133, Issue 11

Abstract

The effects of bending on the modal properties of a stay cable with a transverse damper are analytically studied. Considering that the value of the flexural rigidity in the stay cable is small in practice, an explicit asymptotic formula for the modal damping of a cable with a general type of damper is derived. For a viscous damper, the asymptotic formula obtained is compact, accurate, and thus is very suitable for practical design. Furthermore, for the first few vibration modes of interest, the asymptotic solution is independent of the modal index. It is shown that flexure in the cable reduces the maximum attainable modal damping, possibly up to 20%, while it significantly increases the optimal damping coefficient of the damper.

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Acknowledgments

Acknowledgment is given to Hong Kong Highways Department, China for permission to use the data of Stonecutters Bridge. The writers are grateful to Professor Steen Krenk and Professor Shirley Dyke for their valuable comments during the preparation of the manuscript.

References

Cole, J. D. (1968). Perturbation methods in applied mechanics, Blaisdell, Waltham, Mass, 69–76.
Irvine H. M. (1993). “Local bending stresses in cables.” Int. J. Offshore Polar Eng., 3(3), 172–175.
Krenk, S. (2000). “Vibrations of a taut cable with an external damper.” ASME J. Appl. Mech., 67, 772–776.
Krenk, S., and Hogsberg, J. R. (2005). “Damping of cables by a transverse force.” J. Eng. Mech., 131(4), 340–348.
Mehrabi, A. B., and Tabatabai, H. (1998). “Unified finite difference formulation for free vibration of cables.” J. Struct. Eng., 124(11), 1313–1322.
Pacheco, B. M., Fujino, Y., and Sulekh, A. (1993). “Estimation curve for modal damping in stay cables with viscous damper.” J. Struct. Eng., 119(6), 1961–1979.
Tabatabai, H., and Mehrabi, A. B. (2000). “Design of mechanical viscous dampers for stay cables.” J. Bridge Eng., 5(2), 114–123.
Weaver, W., Timoshenko, S. P., and Young, D. H. (1990). Vibration problems in engineering, 5th Ed., Wiley, Singapore.
Zui, H., Shinke, T., and Namita, Y. (1996). “Practical formulas for estimation of cable tension by vibration method.” J. Struct. Eng., 122(6), 651–656.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 133Issue 11November 2007
Pages: 1241 - 1246

History

Received: May 30, 2006
Accepted: Jun 6, 2007
Published online: Nov 1, 2007
Published in print: Nov 2007

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Notes

Note. Associate Editor: Andrew W. Smyth

Authors

Affiliations

Lecturer, Faculty of Civil Engineering, Ho Chi Minh City Univ. of Technology, Ho Chi Minh City, Vietnam; formerly, Postdoctoral Research Fellow, The Univ. of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-8656, Japan (corresponding author). E-mail: [email protected]
Yozo Fujino, M.ASCE
Professor, Dept. of Civil Engineering, The Univ. of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-8656, Japan.

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