Match of Negative Stiffness and Viscous Damping in a Passive Damper for Cable Vibration Control

Match of negative stiffness and viscous damping in a passive negative stiffness damper (NSD) is studied for the vibration control of stay cables in this paper. At first, a discrete model of the stay cable with an NSD attached perpendicularly near the support is established. Under sinusoidal excitati...

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Main Authors: Peng Zhou, Qinghe Fang
Format: Article
Language:English
Published: Wiley 2019-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/2019/3208321
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author Peng Zhou
Qinghe Fang
author_facet Peng Zhou
Qinghe Fang
author_sort Peng Zhou
collection DOAJ
description Match of negative stiffness and viscous damping in a passive negative stiffness damper (NSD) is studied for the vibration control of stay cables in this paper. At first, a discrete model of the stay cable with an NSD attached perpendicularly near the support is established. Under sinusoidal excitations, forced responses of the system are derived theoretically, which results in an asymptotic form for the additional modal damping ratios. Then, experimental results are presented to verify the discrete model and the corresponding theoretical derivations. Subsequently, numerical analysis is performed further to show the optimal match of negative stiffness and viscous damping, which is a function of the attachment location. The energy dissipated by the NSD and the cable energy are analyzed, thereby demonstrating the change trend of the additional modal damping ratios. Moreover, the energy distribution along the cable is investigated to reveal the effect of the negative stiffness and viscous damping. This study demonstrates the control mechanism of negative stiffness and viscous damping in the passive damper and is of practical significance for designing the optimal match of the damper parameters for cable vibration control.
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spelling doaj-art-fd4334980c4a41d5bee94568628b28bc2025-08-20T03:25:26ZengWileyShock and Vibration1070-96221875-92032019-01-01201910.1155/2019/32083213208321Match of Negative Stiffness and Viscous Damping in a Passive Damper for Cable Vibration ControlPeng Zhou0Qinghe Fang1School of Civil Engineering, Harbin Institute of Technology, Harbin 150090, ChinaSchool of Civil Engineering, Harbin Institute of Technology, Harbin 150090, ChinaMatch of negative stiffness and viscous damping in a passive negative stiffness damper (NSD) is studied for the vibration control of stay cables in this paper. At first, a discrete model of the stay cable with an NSD attached perpendicularly near the support is established. Under sinusoidal excitations, forced responses of the system are derived theoretically, which results in an asymptotic form for the additional modal damping ratios. Then, experimental results are presented to verify the discrete model and the corresponding theoretical derivations. Subsequently, numerical analysis is performed further to show the optimal match of negative stiffness and viscous damping, which is a function of the attachment location. The energy dissipated by the NSD and the cable energy are analyzed, thereby demonstrating the change trend of the additional modal damping ratios. Moreover, the energy distribution along the cable is investigated to reveal the effect of the negative stiffness and viscous damping. This study demonstrates the control mechanism of negative stiffness and viscous damping in the passive damper and is of practical significance for designing the optimal match of the damper parameters for cable vibration control.http://dx.doi.org/10.1155/2019/3208321
spellingShingle Peng Zhou
Qinghe Fang
Match of Negative Stiffness and Viscous Damping in a Passive Damper for Cable Vibration Control
Shock and Vibration
title Match of Negative Stiffness and Viscous Damping in a Passive Damper for Cable Vibration Control
title_full Match of Negative Stiffness and Viscous Damping in a Passive Damper for Cable Vibration Control
title_fullStr Match of Negative Stiffness and Viscous Damping in a Passive Damper for Cable Vibration Control
title_full_unstemmed Match of Negative Stiffness and Viscous Damping in a Passive Damper for Cable Vibration Control
title_short Match of Negative Stiffness and Viscous Damping in a Passive Damper for Cable Vibration Control
title_sort match of negative stiffness and viscous damping in a passive damper for cable vibration control
url http://dx.doi.org/10.1155/2019/3208321
work_keys_str_mv AT pengzhou matchofnegativestiffnessandviscousdampinginapassivedamperforcablevibrationcontrol
AT qinghefang matchofnegativestiffnessandviscousdampinginapassivedamperforcablevibrationcontrol