Damping of Cables by a Transverse Force
Publication: Journal of Engineering Mechanics
Volume 131, Issue 4
Abstract
A general asymptotic format is presented for the effect on the modal vibrations of a transverse damper close to the end of a cable. Complete locking of the damper leads to an increase of the natural frequencies, and it is demonstrated that the maximum attainable damping is a certain fraction of the relative frequency increase, depending on the type of damping device. The asymptotic format only includes a real and a complex nondimensional parameter, and it is demonstrated how these parameters can be determined from the frequency increase by locking and from an energy balance on the undamped natural vibration modes. It is shown how the asymptotic format can incorporate sag of the cable, and specific results are presented for viscous damping, the effect of stiffness and mass, fractional viscous damping, and a nonlinear viscous damper. The relation of the stiffness component to active and semiactive damping is discussed.
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Acknowledgments
This work has been supported by the Danish Technical Research Council via the project “Damping Mechanisms in Dynamics of Structures and Materials”.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 131 • Issue 4 • April 2005
Pages: 340 - 348
Copyright
© 2005 ASCE.
History
Received: Jan 29, 2004
Accepted: Sep 28, 2004
Published online: Apr 1, 2005
Published in print: Apr 2005
Notes
Note. Associate Editor: Joel P. Conte
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