TECHNICAL PAPERS
Dec 1, 1991

Dynamic Stiffness Matrix of Sagging Cable

Publication: Journal of Engineering Mechanics
Volume 117, Issue 12

Abstract

The dynamic behavior of an extensible sagging cable is investigated. A dynamic stiffness matrix is presented whose coefficients are functions of the frequency of motion, and that is suitable for dynamic direct‐stiffness analysis of composed systems such as cable‐stayed bridges and guyed masts. The study is restricted to small displacements (linear theory) and considers motion within the vertical cable plane only. Viscous damping due to external fluid is taken into account. Trigonometrical solution functions with complex arguments are utilized, which implies a substantial simplification in the analysis of damped vibrations. By means of example calculations, stiffness functions are discussed and compared to the results of other authors. For tightly stretched inclined cables, utilization of the more accurate theory presented in this paper is indispensable.

Get full access to this article

View all available purchase options and get full access to this article.

References

1.
Clough, R. W., and Penzien, J. (1975). Dynamics of structures. McGraw‐Hill Book Co., Inc., New York, N.Y.
2.
Davenport, A. G., and Steels, G. N. (1965). “Dynamic behavior of massive guy cables.” J. Struct. Div., ASCE, 91(2), 43–70.
3.
Irvine, H. M., and Caughey, T. K. (1974). “The linear theory of free vibrations of a suspended cable.” Proc., Royal Society of London, London, England, Series A, Vol. 341, 299–315.
4.
Irvine, H. M. (1978). “Free vibrations of inclined cables.” J. Struct. Div., ASCE, 104(2), 343–347.
5.
Irvine, H. M. (1981). Cable structures. MIT Press, Cambridge, Mass.
6.
Simpson, A. (1966). Determination of the inplane natural frequencies of multispan transmission lines by a transfer‐matrix method.” Proc., Instn. of Electrical Engrs., 113(5), 870–878.
7.
Starossek, U. (1990). “Boundary induced vibration and dynamic stiffness of a sagging cable.” Report 1191, Institut fur Statik und Dynamik der Luft‐ und Raumfahrtkonstruktionen, Universitat Stuttgart, Stuttgart, Germany.
8.
Triantafyllou, M. S. (1984). “The dynamics of taut inclined cables.” Quarterly J. of Mech. and Appl. Mathematics, Vol. 37, Pt 3, 421–440.
9.
Triantafyllou, M. S., and Grinfogel, L. (1986). “Natural frequencies and modes of inclined cables.” J. Struct. Engrg., 112(1), 139–148.
10.
Veletsos, A. S., and Darbre, G. R. (1983). “Dynamic stiffness of parabolic cables.” Earthquake Engrg. and Struct. Dynamics, 11(3), 367–401.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 117Issue 12December 1991
Pages: 2815 - 2828

History

Published online: Dec 1, 1991
Published in print: Dec 1991

Permissions

Request permissions for this article.

Authors

Affiliations

Uwe Starossek
Res. Ass., Institut fur Tragwerksentwurf und‐konstruktion, Universitat Stuttgart, Pfaffenwaldring 7, 7000 Stuttgart 80, Germany

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share