Effect of Rotational Restraint at Damper Location on Damping of a Taut Cable with a Viscous Damper
Publication: Journal of Bridge Engineering
Volume 25, Issue 2
Abstract
The installation of an external damper on a cable of a cable-supported bridge is often associated with attachments or support devices that trigger vibration restraints at the damper location. This paper investigates the effect of rotational restraint at the damper location on additional damping of a taut cable with an installed viscous damper. An asymptotic solution is employed to derive the asymptotic form of cable complex eigenfrequencies and its damping ratio, in which the flexural rigidity of the cable and those damper restraints including rotational stiffness, damper stiffness, and support stiffness are taken into account. The investigation by a numerical example indicates that by considering rotational restraint, the additional damping of a cable is always lower than its values in the case of no rotational restraint.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
The authors acknowledge Professor Yozo Fujino, Yokohama National University, Japan and Dr. Hoang Nam, Ho Chi Minh City University of Technology, Vietnam for giving valuable comments on the asymptotic solutions in this study.
References
Battini, J. M. 2018. “Analysis of dampers for stay cables using non linear beam elements.” Struct. 16 (Nov): 45–49. https://doi.org/10.1016/j.istruc.2018.08.009.
Caetano, E. 2007. Cable vibrations in cable-stayed bridges: Structural Engineering Document 9. Zurich, Switzerland: International Association for Bridge and Structural Engineering (IABSE).
Cheng, S., N. Deravandi, and F. Ghrib. 2010. “The design of an optimal viscous damper for a bridge stay cable using energy-based approach.” J. Sound Vib. 329 (22): 4689–4704. https://doi.org/10.1016/j.jsv.2010.05.027.
Fournier, J. A., and S. Cheng. 2014. “Impact of damper stiffness and damper support stiffness on the efficiency of a linear viscous damper in controlling stay cable vibrations.” J. Bridge Eng. 19 (4): 4013022. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000562.
Fujino, Y., and N. Hoang. 2008. “Design formulas for damping of a stay cable with a damper.” J. Struct. Eng. 134 (2): 269–278. https://doi.org/10.1061/(ASCE)0733-9445(2008)134:2(269).
Gimsing, N. J., and C. T. Georgakis. 2012. Cable supported bridges: Concept and design. 3rd ed. Chichester, UK: Wiley.
Hoang, N., and Y. Fujino. 2007. “Analytical study on bending effects in a stay cable with a damper.” J. Eng. Mech. 133 (11): 1241–1246. https://doi.org/10.1061/(ASCE)0733-9399(2007)133:11(1241).
Huang, Z., and N. P. Jones. 2011. “Damping of taut-cable systems: Effects of linear elastic spring support.” J. Eng. Mech. 137 (7): 512–518. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000252.
Impollonia, N., G. Ricciardi, and F. Saitta. 2010. “Dynamic behavior of stay cables with rotational dampers.” J. Eng. Mech. 136 (6): 697. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000115.
Javanbakht, M., S. Cheng, and F. Ghrib. 2018. “Refined damper design formula for a cable equipped with a positive or negative stiffness damper.” Struct. Control Health Monit. 25 (10): e2236. https://doi.org/10.1002/stc.2236.
Krenk, S. 2000. “Vibrations of a taut cable with an external damper.” J. Appl. Mech. 67 (4): 772–776. https://doi.org/10.1115/1.1322037.
Krenk, S., and J. R. Høgsberg. 2005. “Damping of cables by a transverse force.” J. Eng. Mech. 131 (4): 340–348. https://doi.org/10.1061/(ASCE)0733-9399(2005)131:4(340).
Krenk, S., and S. R. K. Nielsen. 2002. “Vibrations of a shallow cable with a viscous damper.” Proc. R. Soc. London A. 458: 339–357. https://doi.org/10.1098/rspa.2001.0879.
Main, J. A., and N. P. Jones. 2001. “Evaluation of viscous dampers for stay-cable vibration mitigation.” J. Bridge Eng. 6 (6): 385–397. https://doi.org/10.1061/(ASCE)1084-0702(2001)6:6(385).
Main, J. A., and N. P. Jones. 2002a. “Free vibrations of taut cable with attached damper. I: Linear viscous damper.’” J. Eng. Mech. 128 (10): 1062–1071. https://doi.org/10.1061/(ASCE)0733-9399(2002)128:10(1062).
Main, J. A., and N. P. Jones. 2002b. “Free vibrations of taut cable with attached damper. II: Nonlinear damper.” J. Eng. Mech. 128 (10): 1072–1081. https://doi.org/10.1061/(ASCE)0733-9399(2002)128:10(1072).
Main, J. A., and N. P. Jones. 2007. “Vibration of tensioned beams with intermediate damper. II: Damper near a support.” J. Eng. Mech. 133 (4): 379–388. https://doi.org/10.1061/(ASCE)0733-9399(2007)133:4(379).
Pacheco, B. M., Y. Fujino, and A. Sulekh. 1993. “Estimation curve for modal damping in stay cables with viscous damper.” J. Struct. Eng. 119 (6): 1961–1979. https://doi.org/10.1061/(ASCE)0733-9445(1993)119:6(1961).
Tabatabai, H., and A. B. Mehrabi. 2000. “Design of mechanical viscous dampers for stay cables.” J. Bridge Eng. 5 (2): 114–123. https://doi.org/10.1061/(ASCE)1084-0702(2000)5:2(114).
Xu, Y. L., and H. J. Zhou. 2007. “Damping cable vibration for a cable-stayed bridge using adjustable fluid dampers.” J. Sound Vib. 306 (1–2): 349–360. https://doi.org/10.1016/j.jsv.2007.05.032.
Zhou, H., L. Sun, and F. Xing. 2014a. “Free vibration of taut cable with a damper and a spring.” Struct. Control Health Monit. 21 (6): 996–1014. https://doi.org/10.1002/stc.1628.
Zhou, H., L. Sun, and F. Xing. 2014b. “Damping of full-scale stay cable with viscous damper: Experiment and analysis.” Adv. Struct. Eng. 17 (2): 265–274. https://doi.org/10.1260/1369-4332.17.2.265.
Zui, H., T. Shinke, and Y. Namita. 1996. “Practical formulas for estimation of cable tension by vibration method.” J. Struct. Eng. 122 (6): 651–656. https://doi.org/10.1061/(ASCE)0733-9445(1996)122:6(651).
Information & Authors
Information
Published In
Copyright
©2019 American Society of Civil Engineers.
History
Received: Mar 31, 2019
Accepted: Aug 29, 2019
Published online: Nov 25, 2019
Published in print: Feb 1, 2020
Discussion open until: Apr 25, 2020
Authors
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.