Shake Table Test on a Long-Span Cable-Stayed Bridge with Viscous Dampers Considering Wave Passage Effects
Publication: Journal of Bridge Engineering
Volume 26, Issue 2
Abstract
This work focused on the damping effectiveness of additional longitudinal viscous dampers employed for seismic control of long-span cable-stayed bridges considering wave passage effects. A 1/35-scale physical model scaled from a typical long-span cable-stayed bridge was designed, constructed, and tested on four shake tables. The seismic responses of the systems with and without viscous dampers, under different types of ground motions considering uniform or traveling wave excitations, were analyzed and compared. The test results show that the damping effectiveness of the additional longitudinal viscous dampers was significantly reduced under near-field ground motion. The wave passage had a great influence on the displacement responses of the towers and the deck and the relative variation amplitudes of the cable forces near the midspan. Positive damping effectiveness was commonly achieved from the additional longitudinal viscous dampers under the far-field ground motions when considering the wave passage effect, whereas negative damping effectiveness was observed under the near-field ground motion at certain wave velocities.
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Acknowledgments
The presented research work was funded by the National Natural Science Foundation of China (Grant No. 51878491) and the National Key Research and Development Plan, China (2017YFC1500702). Their support is gratefully acknowledged.
Notation
The following symbols are used in this paper:
- C
- damping coefficient of viscous damper;
- E
- earthquake motion (HWA014_N motion, WVC_270 motion, ELC_180 motion);
- F0
- initial cable force;
- Fmax,E,V
- maximum cable force under a given earthquake motion with a given wave velocity;
- Fmin,E,V
- minimum cable force under a given earthquake motion with a given wave velocity;
- IFa
- influence factor of viscous dampers for maximum seismic acceleration;
- IFd
- influence factor of viscous dampers for maximum seismic displacement;
- IFi
- influence factor of viscous dampers for ith item;
- IFs
- influence factor of viscous dampers for maximum seismic strain;
- IFV,d
- influence factor of the viscous dampers for the seismic displacements under a given earthquake motion with a given wave velocity;
- RA,a
- maximum seismic acceleration responses of System A;
- RA,d
- maximum seismic displacement responses of System A;
- RA,i
- ith maximum seismic responses of System A;
- RA,s
- maximum seismic strain responses of System A;
- RB,a
- maximum seismic acceleration responses of System B;
- RB,d
- maximum seismic displacement responses of System B;
- RB,i
- ith maximum seismic responses of System B;
- RB,s
- maximum seismic strain responses of System B;
- Rd
- maximum seismic displacement responses of the test model without wave passage;
- Rvis.
- maximum seismic responses of the viscous dampers without wave passage;
- Rx,d
- maximum seismic displacement responses of the test model with wave passage;
- Rx,vis.
- maximum seismic responses of the viscous dampers with wave passage;
- Sa
- acceleration scale factor;
- SE
- scale factor of material elastic modulus;
- SF
- scale factor of force;
- Sl
- geometric scale factor;
- Sm
- scale factor of mass;
- St
- scale factor of time;
- Sρ
- scale factor of mass density;
- Sσ
- scale factor of stress;
- V
- wave velocity (42.25, 84.5, 126.75, 169, ∞ m/s);
- α
- velocity exponent of viscous damper;
- relative average variation amplitude of cable forces with a given wave velocity;
- βE,V
- relative variation amplitude of cable forces under a given earthquake motion with a given wave velocity;
- ηd
- influence ratio of the wave passage effects for the maximum seismic displacements; and
- ηvis.
- influence ratio of the wave passage effects for the maximum seismic responses of the viscous dampers.
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Published In
Journal of Bridge Engineering
Volume 26 • Issue 2 • February 2021
Copyright
© 2020 American Society of Civil Engineers.
History
Received: Sep 28, 2019
Accepted: Sep 12, 2020
Published online: Nov 30, 2020
Published in print: Feb 1, 2021
Discussion open until: Apr 30, 2021
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