Free Vibrations of Taut Cable with Attached Damper. II: Nonlinear Damper
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VIEW THE ORIGINAL ARTICLEPublication: Journal of Engineering Mechanics
Volume 128, Issue 10
Abstract
Free vibrations of a taut cable with a nonlinear power-law damper attached near the end are considered. An approximate analytical solution for the amplitude-dependent effective damping ratios in each mode is developed by assuming the same form of solution as for the linear damper and minimizing the mean-square error in the force equilibrium at the damper. An asymptotic approximate solution for small frequency shifts reveals a nondimensional grouping of parameters allowing the development of an amplitude-dependent “universal estimation curve” for the power-law damper. The shape of the universal curve is slightly different for each value of the damper exponent, but for a given exponent the curve is nearly invariant over the same range of parameters as the universal curve for the linear damper. This formulation yields insights into the dependence of nonlinear damper performance on mode number and amplitude of oscillation, suggesting potential advantages that may be offered by a nonlinear damper over a traditional linear damper.
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Published In
Journal of Engineering Mechanics
Volume 128 • Issue 10 • October 2002
Pages: 1072 - 1081
Copyright
Copyright © 2002 American Society of Civil Engineers.
History
Received: Jan 26, 2001
Accepted: Sep 25, 2001
Published online: Sep 13, 2002
Published in print: Oct 2002
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