TECHNICAL PAPERS
Nov 9, 2009

Dynamic Behavior of Stay Cables with Rotational Dampers

Publication: Journal of Engineering Mechanics
Volume 136, Issue 6

Abstract

Vibration reduction in stay cables by means of viscous dampers is of great interest in cable damage prevention and serviceability of structural system supported by such cables. The paper presents a study on the effectiveness, as well as the limits, of rotational viscous dampers and springs inserted at the two ends of a bending-stiff taut cable; influence of rotational stiffness of the springs is also investigated. After a nondimensional expression of the equation of motion has been obtained, as in other cases of nonproportionally damped continuous structures, complex modal analysis is pursued, obtaining complex eigenvalues and eigenfunctions. Comparison with intermediate dampers, widely used in bridge engineering, is performed showing the range of nondimensional parameters for which the proposed approach is of interest. Finally, a numerical technique based on complex mode superposition is presented in order to evaluate time domain responses for transversal distributed excitation. As an example, the procedure is applied to a wind-exposed cable.

Get full access to this article

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

References

Caracoglia, L., and Jones, N. P. (2007). “Damping of taut-cable systems: Two dampers on a single stay.” J. Eng. Mech., 133(10), 1050–1060.
Carassale, L., and Solari, G. (2002). “Wind modes for structural dynamics: a continuous approach.” Probab. Eng. Mech., 17(2), 157–166.
Carne, T. G. (1981). “Guy cable design and damping for vertical axis wind turbines.” Rep. No. SAND80-2669, Sandia National Laboratories, Albuquerque, N.M.
Di Paola, M., and Gullo, I. (2001). “Digital generation of multivariate wind field processes.” Probab. Eng. Mech., 16(1), 1–10.
Dowd, J., Poser, M., Frank, K. H., Wood, S. L., and Williamson, E. B. (2001). “Bending fatigue of cable stays.” J. Bridge Eng., 6(6), 639–644.
Gimsing, N. J. (1998). Cable supported bridges: Concept and design, Wiley, New York.
Gürgöze, M. (1997). “On the eigenvalues of viscously damped beams carrying heavy masses and restrained by linear and torsional springs.” J. Sound Vib., 208(1), 153–158.
Gürgöze, M., and Erol, H. (2006). “Dynamic response of a viscously damped cantilever with a viscous end condition.” J. Sound Vib., 298(1–2), 132–153.
Hoang, N., and Fujino, Y. (2007). “Analytical study on bending effects in a stay cable with a damper.” J. Eng. Mech., 133(11), 1241–1246.
Irvine, H. M. (1981). Cable structures, MIT Press, Cambridge, Mass.
Krenk, S. (2000). “Vibrations of taut cable with an external damper.” J. Appl. Mech., 67(4), 772–776.
Krenk, S. (2004). “Complex modes and frequencies in damped structural vibrations.” J. Sound Vib., 270(4–5), 981–996.
Main, J. A., and Jones, N. P. (2001). “Evaluation of viscous dampers for stay-cable vibration mitigation.” J. Bridge Eng., 6(6), 385–397.
Main, J. A., and Jones, N. P. (2002). “Free vibrations of taut cable with attached damper. I: Linear viscous damper.” J. Eng. Mech., 128(10), 1062–1071.
Main, J. A., and Jones, N. P. (2007a). “Vibration of tensioned beams with intermediate damper. I: Formulation, influence of damper location.” J. Eng. Mech., 133(4), 369–378.
Main, J. A., and Jones, N. P. (2007b). “Vibration of tensioned beams with intermediate damper. II: Damper near a support.” J. Eng. Mech., 133(4), 379–388.
Matsumoto, M., Daito, Y., Kanamura, T., Shigemura, Y., Sakuma, S., and Ishizaki, H. (1998). “Wind-induced vibration of cables of cable-stayed bridges.” J. Wind Eng. Ind. Aerodyn., 74–76, 1015–1027.
Matsumoto, M., Saitoh, T., Kitazawa, M., Shirato, H., and Nishizaki, T. (1995). “Response characteristics of rain-wind induced vibration of stay-cables of cable-stayed bridges.” J. Wind Eng. Ind. Aerodyn., 57(2–3), 323–333.
Muscolino, G. (2002). Dinamica delle strutture, McGraw-Hill, New York (in Italian).
Nayfeh, A. H. (1993). Introduction to perturbation techniques, Wiley, New York.
Oliveto, G., Santini, A., and Tripodi, E. (1997). “Complex modal analysis of a flexural vibrating beam with viscous end conditions.” J. Sound Vib., 200(3), 327–345.
Pacheco, B. M., Fujino, Y., and Sulekh, A. (1993). “Estimation curve for modal camping in stay cables with viscous damper.” J. Struct. Eng., 119(6), 1961–1979.
Prater, G., Jr., and Singh, R. (1990). “Eigenproblem formulation, solution and interpretation for non-proportionally damped continuous beams.” J. Sound Vib., 143(1), 125–142.
Ricciardi, G., and Saitta, F. (2008). “A continuous vibration analysis model for cables with sag and bending stiffness.” Eng. Struct., 30(5), 1459–1472.
Shinozuka, M. (1970). “Simulation of multivariate and multidimensional random processes.” J. Acoust. Soc. Am., 49, 357–368.
Simiu, E., and Scanlan, R. H. (1996). Wind effects on structures: Fundamentals and applications to design, Wiley, New York.
Srinil, N., and Rega, G. (2008). “Nonlinear longitudinal/transversal modal interactions in highly extensible suspended cables.” J. Sound Vib., 310(1–2), 230–242.
Tabatabai, H., and Mehrabi, A. B. (2000). “Design of mechanical viscous dampers for stay cables.” J. Bridge Eng., 5(2), 114–123.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 136Issue 6June 2010
Pages: 697 - 709

History

Received: May 28, 2008
Accepted: Nov 2, 2009
Published online: Nov 9, 2009
Published in print: Jun 2010

Permissions

Request permissions for this article.

Authors

Affiliations

Nicola Impollonia [email protected]
Associate Professor, Dipartimento ASTRA, Università di Catania, Via delle Maestranze 99, 96100 Siracusa, Italy. E-mail: [email protected]
Giuseppe Ricciardi [email protected]
Associate Professor, Dipartimento di Ingegneria Civile, Università di Messina C.da di Dio, 98166 Villaggio S. Agata, Messina, Italy. E-mail: [email protected]
Fernando Saitta [email protected]
Ph.D. Student, Dipartimento di Ingegneria Civile, Università di Messina C.da di Dio, 98166 Villaggio S. Agata, Messina, Italy. E-mail: [email protected]

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