Steady-State Analysis of Cable with Nonlinear Damper via Harmonic Balance Method for Maximizing Damping
Publication: Journal of Structural Engineering
Volume 143, Issue 2
Abstract
Steady-state solutions represent a significant subset of dynamics of a nonlinear system. Herein, they are concerned for a taut cable damped by a nonlinear damper near one cable end, for the purpose of maximizing cable damping. Periodic vibrations of the cable-damper system are efficiently analyzed using the multiharmonic balance method. Furthermore, a continuation method is employed to predict system responses to a range of excitation frequencies near the cable eigenfrequencies. Control effect is then evaluated and optimized based on the frequency response functions, and optimal damper parameters are determined meanwhile. The proposed procedure is implemented for studying two common structural dampers in cable vibration control, i.e., nonlinear viscous damper and friction damper. In both cases, alternating time/frequency domain strategy is integrated for evaluating the nonlinear force and pertinent stiffness, and analytical formulations are obtained, ensuring that strong nonlinear behavior such as stick-slip motion is captured with affordable computational effort. Thanks to the efficiency of this methodology, extensive parametric studies are possible in determining the optimal damping effect and associated damper parameters for varied damper locations and cable modes. Numerical results confirm that nonlinear damper is advantageous over linear damper in terms of maximum attainable damping because nonlinearity can induce energy transfer from lower modes to more higher modes. This advantage becomes more apparent when the damper is closer to the cable end and targeted to suppress lower-mode cable vibrations because wherein, more higher modes are able to be excited. The damper nonlinearity is also found optimizable for specific damper location and cable mode. Those findings, among others, are of practical significance for cable damper design.
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Acknowledgments
The study was supported through a research project on Key Technology of Cables in Long-span Cable-stayed Bridges funded by Guangxi Academician Workstation at Liuzhou OVM Machinery Co. Ltd.
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Published In
Journal of Structural Engineering
Volume 143 • Issue 2 • February 2017
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© 2016 American Society of Civil Engineers.
History
Received: Dec 15, 2015
Accepted: Jul 14, 2016
Published online: Sep 14, 2016
Published in print: Feb 1, 2017
Discussion open until: Feb 14, 2017
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