Free Vibrations of Taut Cable with Attached Damper. I: Linear Viscous Damper
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Volume 128, Issue 10
Abstract
Free vibrations of a taut cable with an attached linear viscous damper are investigated in detail using an analytical formulation of the complex eigenvalue problem. This problem is of considerable practical interest in the context of stay-cable vibration suppression in bridges. An expression for the eigenvalues is derived that is independent of the damper coefficient, giving the range of attainable modal damping ratios and corresponding oscillation frequencies in every mode for a given damper location without approximation. This formulation reveals the importance of damper-induced frequency shifts in characterizing the response of the system. New regimes of behavior are observed when these frequency shifts are large, as is the case in higher modes and for damper locations further from the end of the cable. For a damper located sufficiently near the antinode in a given mode, a regime of solutions is identified for which the damping approaches critical as the damper coefficient approaches a critical value. A regime diagram is developed to indicate the type of behavior in each mode for any given damper location.
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References
Carne, T. G. (1981). “Guy cable design and damping for vertical axis wind turbines.” Rep. No. SAND80-2669, Sandia National Laboratories, Albuquerque, N.M.
Iwan, W. D., and Jones, N. P. (1984). “NATFREQ users manual–a Fortran IV program for computing the natural frequencies, mode shapes, and drag coefficients for taut strumming cables with attached masses and spring-mass combinations.” Laboratory Rep. No. CR94.026, Dept. Naval Civil Engineering.
Kovacs, I.(1982). “Zur frage der seilschwingungen und der seildämpfung.” Bautechnik, 10, 325–332 (in German).
Krenk, S.(2000). “Vibrations of a taut cable with an external damper.” J. Appl. Mech., 67, 772–776.
Main, J. A., and Jones, N. P. (1999) “Full-scale measurements of stay cable vibration.” Proc., 10th Int. Conf. on Wind Engineering, Balkema, Rotterdam, The Netherlands, 963–970.
Main, J. A., and Jones, N. P. (2000). “A comparison of full-scale measurements of stay cable vibration.” Proc., Structures Congress, ASCE, New York.
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. II: Nonlinear damper.” J. Eng. Mech., 128(10), 1072–1081.
Pacheco, B. M., Fujino, Y., and Sulekh, A.(1993). “Estimation curve for modal damping in stay cables with viscous damper.” J. Struct. Eng., 119(6), 1961–1979.
Poston, R. W.(1998). “Cable-stay conundrum.” Civ. Eng. (N.Y.), 68(8), 58–61.
Rayleigh, J. W. S. (1877). The theory of sound–Volume I, Dover, New York (1945 reprint).
Sergev, S. S., and Iwan, W. D.(1981). “The natural frequencies and mode shapes of cables with attached masses.” J. Energy Resour. Technol., 103(3), 237–242.
Tabatabai, H., and Mehrabi, A. B.(2000). “Design of mechanical viscous dampers for stay cables.” J. Bridge Eng., 5(2), 114–123.
Xu, Y. L., Ko, J. M., and Yu, Z. (1997). “Modal damping estimation of cable-damper systems.” Proc., 2nd Int. Symp. on Struct. and Foundations in Civ. Engineering, China Translation and Printing Services Ltd., Hong Kong, China, 96–102.
Yamaguchi, H., and Fujino, Y. (1998). “Stayed cable dynamics and its vibration control.” Proc., Int. Symp. on Advances in Bridge Aerodynamics, Balkema, Rotterdam, Netherlands, 235–253.
Yoneda, M., and Maeda, K. (1989). “A study on practical estimation method for structural damping of stay cable with damper.” Proc., Canada–Japan Workshop on Bridge Aerodynamics, Ottawa, Canada, 119–128.
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Published In
Journal of Engineering Mechanics
Volume 128 • Issue 10 • October 2002
Pages: 1062 - 1071
Copyright
Copyright © 2002 American Society of Civil Engineers.
History
Received: Nov 30, 2000
Accepted: Dec 5, 2001
Published online: Sep 13, 2002
Published in print: Oct 2002
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