2015
DOI: 10.1155/2015/861954
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Damping Estimation from Free Decay Responses of Cables with MR Dampers

Abstract: This paper discusses the damping measurements on cables with real-time controlled MR dampers that were performed on a laboratory scale single strand cable and on cables of the Sutong Bridge, China. The control approach aims at producing amplitude and frequency independent cable damping which is confirmed by the tests. The experimentally obtained cable damping in comparison to the theoretical value due to optimal linear viscous damping reveals that support conditions of the cable anchors, force tracking errors … Show more

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Cited by 4 publications
(10 citation statements)
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References 45 publications
(62 reference statements)
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“…This means that the cable damping ratio due to a transverse damper is at least 20% to 40% smaller than expected from the closed-form solution 1 /2 a/L (a: damper position, L: cable length, valid for a/L β‰ˆ 1 %) being valid for a taut string behaviour. This estimation agrees well with the experiments reported in [25][26][27][28][29][30][31] which show that the measured additional cable damping ratio due to the transverse damper, i.e., the total cable damping ratio minus the inherent cable damping ratio, is often around 50% to 70% of the theoretical value 1 /2 a/L being valid for a taut string behaviour. Besides the effect of the reduced damper motion, other effects may also lead to reduced cable damping ratios such as insufficient damper activation due to manpower excitation of real stay cables with great modal mass [32], friction damping [33][34][35], excitation of higher order modes necessitating low pass filtering during post-processing of the measurement data [29,35], force tracking errors in case of controllable dampers [24][25][26][27][36][37][38][39][40] and the fact that the damping estimation 1 /2 a/L is valid for a/L β‰ˆ 1 % but transverse dampers are commonly positioned at 2% to 3% of the cable length.…”
Section: Introductionsupporting
confidence: 91%
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“…This means that the cable damping ratio due to a transverse damper is at least 20% to 40% smaller than expected from the closed-form solution 1 /2 a/L (a: damper position, L: cable length, valid for a/L β‰ˆ 1 %) being valid for a taut string behaviour. This estimation agrees well with the experiments reported in [25][26][27][28][29][30][31] which show that the measured additional cable damping ratio due to the transverse damper, i.e., the total cable damping ratio minus the inherent cable damping ratio, is often around 50% to 70% of the theoretical value 1 /2 a/L being valid for a taut string behaviour. Besides the effect of the reduced damper motion, other effects may also lead to reduced cable damping ratios such as insufficient damper activation due to manpower excitation of real stay cables with great modal mass [32], friction damping [33][34][35], excitation of higher order modes necessitating low pass filtering during post-processing of the measurement data [29,35], force tracking errors in case of controllable dampers [24][25][26][27][36][37][38][39][40] and the fact that the damping estimation 1 /2 a/L is valid for a/L β‰ˆ 1 % but transverse dampers are commonly positioned at 2% to 3% of the cable length.…”
Section: Introductionsupporting
confidence: 91%
“…For the simulation of the cable model with transverse damper, the partial differential Equations ( 1) and (3) are discretized, adopting a finite truss element modelling approach with the spatial sampling interval Ξ”π‘₯ β‰ͺ 𝐿 that is selected small enough to ensure precise approximation of the partial differential Equations ( 1) and (3) [24,34,35,45] M v̈+ C vΜ‡+ K v = Ο† 𝑓(𝑑) + F ex (8) where M, C and K denote the mass, damping and stiffness matrices, v is the vector of the transverse displacements, Ο† is the connectivity vector of the transverse damper force and the excitation force vector Fex is introduced to excite the cable model harmonically at the eigenfrequencies of the considered modes. The inherent cable damping ratio πœ‰ π‘π‘Žπ‘π‘™π‘’ is assumed to be 0.4% which is a typical value of the first few modes of stay cables [2,29,30].…”
Section: Cable Model For Simulationmentioning
confidence: 99%
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