TECHNICAL NOTES
Sep 1, 1986

Lateral Vibration of Suspension Bridges

Publication: Journal of Structural Engineering
Volume 112, Issue 9

Abstract

Besides the pendulum action developed by the suspended deck, the restoring force exerted by a cable during lateral displacements is expressed by the horizontal component of the cable tension, times the curvature of the cable in the horizontal plane. Some authors consider an additional term linked to a pendulum effect of the cable itself, caused by the uplift movement which accompanies the lateral displacements. In the present note, the mathematical model is reviewed to show that, in the usual assumption of small amplitude vibrations, the presence of this second term is due to a sign error in the expression of the strain energy of the cable. Some evaluation of the first vibration modes period is reported.

Get full access to this article

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

References

1.
Abdel‐Ghaffar, A. M., “Tree Lateral Vibration of Suspension Bridges,” J. Struct. Div., ASCE, Vol. 104, No. ST3, Mar., 1978, p. 503.
2.
Abdel‐Ghaffar, A. M., Housner, G. W., “Ambient Vibration Tests of Suspension Bridge,” J. Engrg. Mech. Div., ASCE, Vol. 104, No. EM5, Oct., 1978, pp. 983–993.
3.
Abdel‐Ghaffar, A. M., and Rubin, L. T., “Lateral Earthquake Response of Suspension Bridges,” J. Struct. Div., ASCE, Vol. 109, No. ST3, Mar., 1983, p. 664.
4.
Abdel‐Ghaffar, A. M., and Scanlan, R. H., “Ambient Vibration Studies of Golden Gate Bridge: I—Suspended Structure,” J. Engrg. Mech., ASCE, Vol. 111, No. EM4, Apr., 1985, pp. 463–482.
5.
Abdel‐Ghaffar, A. M., and Stringfellow, R. G., “Response of Suspension Bridges to Travelling Earthquake Excitation: Part. II. Lateral Response,” Int. J. of Soil Dynamics and Earthquake Engrg., Vol. 3, No. 2, Apr., 1984.
6.
Hirai, A., et al., “Lateral Stability of a Suspension Bridge Subjected to Foundation‐Motion,” Proc., Second World Conference on Earthquake Engineering, Japan, Vol. II, 1960, p. 931–945.
7.
Ito, M., “Lateral Rigidity of a Suspension Bridge,” Symposium on Suspension Bridges, Lisbon, Nov., 1966, Paper No. 7, pp. 7.1–7.8.
8.
Konishi, I., and Yamada, Y., “Earthquake Resistant Design of Long Span Suspension Bridges,” Proc., Third World Conference on Earthquake Engineering, New Zealand, Vol. II, 1965, pp. IV/K/12.
9.
Moisseif, L. S., and Lienhard, F., “Suspension Bridges under the Action of Lateral Forces,” Trans., ASCE, Vol. 98, 1933, pp. 1080–1109.
10.
Selberg, A., Discussion of “The Lateral Rigidity of Suspension Bridges,” by I. K. Silverman, Proc., ASCE, No. EM1, Jan., 1958, pp. 1520‐29–1520‐31.
11.
Sigbjornsson, R., and Hjorth‐Hansen, E., “Along‐Wind Response of Suspension Bridge with Special Reference to Stiffening by Horizontal Cables,” Eng. Struct., Vol. 3, Jan., 1981, pp. 27–37.
12.
Silverman, I. K., “The Lateral Rigidity of Suspension Bridges,” Proc., ASCE, EM3, Vol. 83, July, 1957, pp. 1292‐1–1292‐17.

Information & Authors

Information

Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 112Issue 9September 1986
Pages: 2169 - 2173

History

Published online: Sep 1, 1986
Published in print: Sep 1986

Permissions

Request permissions for this article.

Authors

Affiliations

Alberto Castellani
Prof., Dept. of Struct. Engrg., Politechnic of Milan, Italy
Pierangelo Felotti
Struct. Engr., F.N.C. Assoc., Milan, Italy

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