Theoretical study on the seismic response of a continuous beam bridge with safe-belt devices
Section snippets
Author statement
Yuqing Tan: Methodology, Validation, Formal analysis, Data Curation, Writing - Original.
Rong Fang: Conceptualization, Methodology, Validation, Writing - Review & Editing, Visualization, Supervision.
Wenxue Zhang:Conceptualization, Writing - Review & Editing, Supervision, Project administration, Funding acquisition.
Hanqing Zhao:Conceptualization, Software, Investigation, Writing - Review & Editing.
Xiuli Du:Writing - Review & Editing, Supervision, Project administration.
Safe-belt device
The safe-belt device contains one belt ①, two locking platens ②, two outer sealing plates ③, two locking shafts ④, one connecting block ⑤, some assembly bolts ⑥, one lower sealing plate ⑦, some fixed bolts ⑧, and two brackets ⑨, (Fig. 1, Fig. 2). Some fixed bolts ⑧ are used to fix the safe-belt device on the top of the sliding pier ⑩. The ends of belt ① are fixed to a girder ⑪ by the two brackets ⑨.
Under normal conditions (no earthquakes), the locking shaft ④ is located at position 1, and there
Natural periods of model 1 and model 2
Model 1 is a continuous beam bridge without safe-belt devices. The interaction between the sliding piers and the girder were neglected, so the simplified model of Model 1 is a single-degree-of-freedom system (Fig. 4a). In Fig. 4a), m is the sum of the girder's mass and 1/3 of the fixed pier's mass; moreover, k and c represent the lateral stiffness and the damping of the fixed pier, respectively. The natural period of Model 1 can be calculated as:where ω is the natural circular
Bridge
A three-span continuous beam bridge was considered in this study to compare the theoretical results with finite element results. In Fig. 5, the span combination was 48 m + 80 m + 48 m, the girder weighed 71630.16 kN, and the distance from the pier's top to the girder's section centroid was 2.56 m. Pier 3 was a fixed pier. Table 1 shows the parameters of the girder and of the piers.
Finite element model
Fig. 6 shows the finite element models of Model 1 and Model 2 in the ANSYS software. In Model 1 and Model 2, the
Influence of the total lateral stiffness and influence of the installation position
The aseismic rate λx of the beam-end displacement in Model 2 can be calculated as
Moreover, the aseismic rate λQ of the shear force at the bottom of the fixed pier in Model 2 can be calculated as
Based on the theoretical results of aseismic rate shown in Fig. 22, Fig. 23, Fig. 24, Fig. 25, Fig. 26, Fig. 27, Fig. 28, the influence of the continuous beam bridge's total lateral stiffness and of the
Conclusions
To investigate the seismic responses of a continuous beam bridge equipped with safe-belt devices, a simplified model of Model 2 was proposed and the theoretical formulas of the natural period, of the beam-end displacement, and of the fixed pier bottom's shear force were derived. To verify the effectiveness of the proposed theoretical formulas, a three-span continuous beam bridge was taken as an example, and the theoretical results were compared with finite element results. The influence of the
Declaration of competing interest
The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.
Acknowledgments
This work was supported by the National Natural Science Foundation of China (grant number 51778022).
References (27)
Equivalent linear stochastic seismic response of isolated bridges
J Sound Vib
(2008)- et al.
Experimental and analytical studies of seismic response of highway bridges isolated by rate-dependent rubber bearings
Eng Struct
(2017) - et al.
Earthquake response of a base-isolated bridge subjected to strong near-fault ground motion
Soil Dyn Earthq Eng
(2010) - et al.
Hysteretic behavior investigation of self-centering double-column rocking piers for seismic resilience
Eng Struct
(2019) - et al.
Study on seismic dissipation and isolation design of a multi-large-span steel truss continuous beam bridge considering sliding friction effect
- et al.
Investigation of the different types of seismic base isolators for a continuous box girder bridge, Forensic Engineering 2015
(2015) - et al.
Comparative seismic fragility assessment of an existing isolated continuous bridge retrofitted with different energy dissipation devices
J Bridge Eng
(2019) - et al.
Study on the seismic performance of different combinations of rubber bearings for continuous beam bridges
Adv Civ Eng
(2020) - et al.
Nonlinear response of continuous girder bridges with isolation bearings under bi-directional ground motions
Journal of Vibroengineering
(2015) - et al.
Seismic vulnerability assessment of a continuous steel box girder bridge considering influence of LRB properties
Sadhana-Acad P Eng S
(2018)
Seismic vulnerability assessment of a steel-girder highway bridge equipped with different SMA wire-based smart elastomeric isolators
Smart Mater Struct
Response of bridges isolated by shape memory-alloy rubber bearing
J Bridge Eng
Smart lead rubber bearings equipped with ferrous shape memory alloy wires for seismically isolating highway bridges
J Earthq Eng
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