Experimental Study on Passive Negative Stiffness Damper for Cable Vibration Mitigation
Publication: Journal of Engineering Mechanics
Volume 143, Issue 9
Abstract
Stay cables are vulnerable to excessive vibration because of their inherently low damping properties. Described in this paper is an experimental investigation of the vibration control performance due to passive negative stiffness dampers (NSDs) installed on a scaled stay cable model. The passive NSD used in the experiment was composed of a viscous damper and a magnetic negative stiffness spring with an adjustable stiffness coefficient installed close to one cable end in the transverse direction. In general, the passive NSD performed much more effectively than conventional viscous dampers in mitigating the vibration of the stay cable. As the negative stiffness strength increased, the cable responses under various dynamic loadings became smaller, thus indicating that high damping had been added to the stay cable. A damping ratio higher than 10% was obtained in the cable vibration tests. The flexural rigidity of the stay cable is a parameter often overlooked. However, after the installation of a passive NSD, this was found to be of importance. The actual influence of flexural rigidity depends on the negative stiffness coefficient, the damper location, and the boundary condition of the stay cable. Numerical simulation results taking account of the flexural rigidity and boundary conditions agreed well with the experimental results.
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Acknowledgments
The authors are grateful for the financial support of the Research Grants Council of Hong Kong through the GRF grant (Project No. PolyU 152222/14E) and the Innovation and Technology Commission of Hong Kong through an ITF grant (Project No. ITS/344/14). The findings and opinions expressed in this paper are solely those of the authors and not necessarily the views of the sponsors.
References
Chen, Z. Q., Wang, X. Y., Ko, J. M., Ni, Y. Q., Spencer, Jr., B. F., and Yang, G. (2003). “MR damping system for mitigating wind-rain induced vibration on Dongting Lake cable-stayed bridge.” Wind and Structures, 7(5), 293–304.
Christenson, R. E., Spencer, Jr., B. F., and Johnson, E. A. (2006). “Experimental verification of smart cable damping.” J. Eng. Mech., 268–278.
Fujino, Y., and Hoang, N. (2008). “Design formulas for damping of a stay cable with a damper.” J. Struct. Eng., 269–278.
Geurts, C., Vrouwenvelder, T., van Staalduinen, P., and Reusink, J. (1998). “Numerical modelling of rain-wind-induced vibration: Erasmus Bridge, Rotterdam.” Struct. Eng. Int., 8(2), 129–135.
Hoang, N., and Fujino, Y. (2007). “Analytical study on bending effects in a stay cable with a damper.” J. Eng. Mech., 1241–1246.
Hoang, N., and Fujino, Y. (2009). “Multi-mode control performance of nonlinear dampers in stay cable vibrations.” Struct. Control Health Monit., 16(7–8), 860–868.
Iemura, H., and Pradono, M. H. (2002). “Passive and semi-active seismic response control of a cable-stayed bridge.” J. Struct. Control, 9(3), 189–204.
Iemura, H., and Pradono, M. H. (2009). “Advances in the development of pseudo-negative-stiffness dampers for seismic response control.” Struct. Control Health Monit., 16(7–8), 784–799.
Johnson, E. A., Baker, G. A., Spencer, Jr., B. F., and Fujino, Y. (2000). “Mitigating stay cable oscillation using semiactive damping.” SPIE’s 7th Annual Int. Symp. on Smart Structures and Materials, International Society for Optics and Photonics, Bellingham, WA, 207–216.
Johnson, E. A., Baker, G. A., Spencer, Jr., B. F., and Fujino, Y. (2007). “Semiactive damping of stay cables.” J. Eng. Mech., 1–11.
Johnson, E. A., Christenson, R. E., and Spencer, Jr., B. F. (2003). “Semiactive damping of cables with sag.” Comput. Aided Civil Infrastruct. Eng., 18(2), 132–146.
Krenk, S. (2000). “Vibrations of a taut cable with an external damper.” J. Appl. Mech., 67(4), 772–776.
Krenk, S., and Høgsberg, J. R. (2005). “Damping of cables by a transverse force.” J. Eng. Mech., 340–348.
Lee, C. M., Goverdovskiy, V. N., and Temnikov, A. I. (2007). “Design of springs with ‘negative’ stiffness to improve vehicle driver vibration isolation.” J. Sound Vibr., 302(4), 865–874.
Li, H., Liu, M., and Ou, J. (2008). “Negative stiffness characteristics of active and semi-active control systems for stay cables.” Struct. Control Health Monit., 15(2), 120–142.
Li, H., Liu, M., Ou, J. P., and Guan, X. C. (2005). “Design and analysis of magnetorheological dampers with intelligent control systems for stay cables.” Zhongguo Gonglu Xuebao (China J. Highway Transp.), 18(4), 37–41.
Main, J. A., and Jones, N. P. (2002a). “Free vibrations of taut cable with attached damper. I: Linear viscous damper.” J. Eng. Mech., 1062–1071.
Main, J. A., and Jones, N. P. (2002b). “Free vibrations of taut cable with attached damper. II: Nonlinear damper.” J. Eng. Mech., 1072–1081.
Mehrabi, A. B., and Tabatabai, H. (1998). “Unified finite difference formulation for free vibration of cables.” J. Struct. Eng., 1241–1246.
Ni, Y. Q., Chen, Y., Ko, J. M., and Cao, D. Q. (2002). “Neuro-control of cable vibration using semi-active magneto-rheological dampers.” Eng. Struct., 24(3), 295–307.
Pasala, D. T. R., Sarlis, A. A., Nagarajaiah, S., Reinhorn, A. M., Constantinou, M. C., and Taylor, D. (2013). “Adaptive negative stiffness: New structural modification approach for seismic protection.” J. Struct. Eng., 1112–1123.
Shi, X., and Zhu, S. (2015). “Magnetic negative stiffness dampers.” Smart Mater. Struct., 24(7), 072002.
Shi, X., and Zhu, S. (2017). “Simulation and optimization of magnetic negative stiffness dampers.” Sens. Actuators A: Phys., 259, 14–33.
Shi, X., Zhu, S., Li, J. Y., and Spencer, Jr., B. F. (2016). “Dynamic behavior of stay cables with passive negative stiffness dampers.” Smart Mater. Struct., 25(7), 075044.
Wang, Y. C., and Lakes, R. S. (2004). “Stable extremely-high-damping discrete viscoelastic systems due to negative stiffness elements.” Appl. Phys. Lett., 84(22), 4451–4453.
Weber, F., and Boston, C. (2011). “Clipped viscous damping with negative stiffness for semi-active cable damping.” Smart Mater. Struct., 20(4), 045007.
Wu, W. J., and Cai, C. S. (2006). “Experimental study of magnetorheological dampers and application to cable vibration control.” J. Vibr. Control, 12(1), 67–82.
Xu, Y. L., and Yu, Z. (1999). “Non-linear vibration of cable-damper system. II: Application and verification.” J. Sound Vibr., 225(3), 465–481.
Yamaguchi, H., and Dung, N. N. (1992). “Active wave control of sagged-cable vibration.” Proc., 1st Int. Conf. on Motion Vibration Control, Japan Society of Mechanical Engineers, Tokyo, 134–139.
Yamaguchi, H., and Fujino, Y. (1998). “Stayed cable dynamics and its vibration control.” Proc., Int. Symp. on Advances in Bridge Aerodynamics, A.A. Balkema, Leiden, Netherlands, 235–253.
Yu, Z., and Xu, Y. L. (1999). “Non-linear vibration of cable-damper systems. I: Formulation.” J. Sound Vibr., 225(3), 447–463.
Zhou, H. J., and Sun, L. M. (2013). “Damping of stay cable with passive-on magnetorheological dampers: A full-scale test.” Int. J. Civil Eng., 11(3), 154–159.
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Published In
Journal of Engineering Mechanics
Volume 143 • Issue 9 • September 2017
Copyright
©2017 American Society of Civil Engineers.
History
Received: Aug 5, 2016
Accepted: Feb 17, 2017
Published online: May 11, 2017
Published in print: Sep 1, 2017
Discussion open until: Oct 11, 2017
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