1. Introduction
Highway bridges play a vital role in human life and constitute a substantial portion of national wealth globally as they provide passages over physical obstacles, including valleys, rivers, and intersecting roads. However, during earthquakes, bridges may pose a great danger to public safety. In recent earthquakes, namely, the 1994 Northridge earthquake, the 1999 Chi-Chi earthquake, the 2008 Wenchuan earthquake, and the 2010 Chile earthquake, many highway bridges collapsed or partially failed [
1,
2,
3,
4,
5]. Failures caused by earthquakes can incur a lot of direct and indirect costs as essential routes might be cut off, delaying the post-earthquake rescue operation. Typical damages for highway bridges include damages to substructure, superstructure, and foundation elements in general that may result in the collapse of bridge spans in longitudinal and transverse directions. Sliding and unseating of superstructure can also occur during the earthquake. Much research has been conducted for designing the bridge elements, including connections and structural elements as well as restrainers against sliding and unseating, to prevent catastrophic failures. Most noticeable and drastic collapses have been associated to transverse direction. This study concentrates on lateral behavior of simply supported bridges under seismic loading in transverse direction. However, the results are also applicable to longitudinal direction with relevant considerations.
The application of Laminated-Rubber Bearing Pad (LRBP) is a common method for seating of deck elements on piers and supports for simply supported multi-span bridges. They are also expected to allow thermal movement of the superstructure at the service-level condition but, in most cases, they have not been designed for seismic loads. They are placed directly between girders and pier caps and allow sliding of superstructure [
6,
7,
8]. In 2020, Barmi and Khaloo investigated the lifetime performance of unbonded rubber bearing in bridges. In their wok, 13 full-scale steel-reinforced elastomeric bearing specimens were constructed and tested to explore the effect of the long-term presence of vertical loads on the mechanical properties of the bearings. The results of their research indicated that although the long-term vertical loading can slightly change the vertical and shear stiffness and damping coefficient of bearings, their lifetime performance is satisfactory, and they can act as an isolation system [
9]. In 2021, Xiang et al. studied the effect of bearing installation method on the overall seismic behavior of bridges. In their work, after observing the typical bearing damages in the past major earthquakes in Japan and China, a new improved design option was suggested in which top-side bonded elastomeric was used [
10]. Zhang et al. (2021) investigated the seismic performance of the laminated rubber bearing in bridges based on an Artificial Neural Network (ANN). In their work, a new constitutive model of bearing based on the ANN technique was established through the static cyclic test of laminated rubber bearings, considering the bearing mechanical properties. After performing various tests and analyses, they concluded that the main factors affecting the bearings constitutive model are vertical load and dimensions of the bearing. In addition, they found that the height of bearing is the most critical factor affecting the seismic response of bridges [
11]. Damage investigation on small- to medium-span highway bridges with LRBPs has indicated that their typical damages include: (a) the failure of the shear key, (b) joints and abutment failure, and (c) span collapse [
12,
13]. Lessons learned from the Chi-Chi earthquake in 1999 and the Wenchuan earthquake in 2008 showed that there have been minor or no cracks in piers for bridges experiencing sliding at bearing (sliding between LRBPs and girders).
It can be justified that sliding at bearing can act as a fuse that isolates the substructure from the superstructure reducing the inertia forces transmitted from deck to the piers [
14,
15,
16]. Filipov et al. (2013) [
17,
18] and Steelman et al. (2013) [
19] experimentally and numerically investigated the sliding effect of rubber bearing in Illinois bridges. They found that rubber bearing limited the seismic force transmitted to the substructure members while providing for the associated displacement. However, the large displacement of the superstructure against the substructure caused by sliding at bearing can be an issue. Indeed, excessive sliding can cause expansion joint failure or even span collapse during extreme earthquakes [
14,
15]. Therefore, appropriate restrainers should be selected and designed to reduce the displacement associated with sliding at bearing and to dissipate the earthquake energy.
Among all types of passive restrainers, energy dissipation devices have shown promise for limiting seismic damage. Viscous dampers and yielding metallic dampers are the most common types of energy dissipation restrainers. Viscous dampers have been widely used to reduce the dynamic response of bridges [
20,
21]. Liu et al. (2021) investigated the effect of viscous dampers in dynamic response of a pedestrian bridge subjected to a set of ground motions. After performing several analyses, they concluded that installation of linear viscous dampers can effectively improve the seismic performance of bridges if the optimized damping coefficient and velocity are used [
22]. In 2020, Hu et al. proposed a design method for a damped structure based on the specified damping distribution pattern. After validation of the proposed method and conducting various analyses, they concluded that concept of damping distribution can significantly improve the seismic mitigation efficiency [
23]. Yielding metallic dampers, also referred to as added damping and stiffness (ADAS), dissipate the seismic energy through the inelastic behavior of metallic substances. Using ADAS dampers also provides bridges with supplement stiffness that control the relative displacement of sup- against sub-structure [
24,
25]. In 2021, Nguyen and Guizani analytically and numerically investigated the cyclic behavior of natural rubber bearings (NRB) incorporating U-shaped dampers (UD). In their work, a set of UDs and NRBs were subjected to cyclic loadings, and the effect of different parameters including geometric and loading on their performance were investigated. The results of their work indicated that NRB-UDs systems can be practiced for bridges as an isolation system with high energy dissipation capacity with stable hysteresis behaviors in any direction [
26]. In 2016, Li et al. investigated the implementation of X-steel damper (XADAS) and laminated rubber bearing pads as an innovative method to prevent span collapse by dissipating seismic forces and controlling relative displacement for RC highway bridges. In their work, a quarter-scale two-span RC bridge model was constructed and tested on a shake table. Northridge and artificial ground motions in transverse direction were applied to the model to evaluate its seismic performance. Both numerical and experimental results showed the effectiveness of implementing X-steel dampers in conjunction with laminated rubber bearing pads for controlling the relative displacement between girders and piers, and for protecting piers from severe damage during earthquakes [
7].
The application of passive restrainers in conjunction with LRBPs is a new approach for controlling the large movement of the span. This combination has recently been investigated for reducing damages from earthquake in longitudinal direction for continuous bridge spans [
27,
28]. In the transverse direction, while the use of XADAS dampers in conjunction with LRBPs has been studied [
29], little or no research has been conducted on the application of viscous dampers for the bridges combined with LRBPs. Viscous dampers (VD) can be a proper replacement for other types of restrainers because of their easy maintenance and since they can be easily retrofitted after the earthquake. To be able to provide bridges with an effective isolation system under various earthquakes, it is essential to evaluate the behavior of restrainers (XADAS and viscous dampers, etc.) in conjunction with LRBPs in reducing the large relative displacement. Additionally, the application of restrainers by adding stiffness to the system has the potential to increase the inertia forces transmitted to the piers and therefore needs to be investigated. Accordingly, the force produced into the piers should be monitored. It goes without saying that nonlinear analysis provides for more realistic and accurate evaluation methods, and as such, this method of analysis is selected for analysis of the bridge under dynamic loads. If proper passive energy devices cannot be identified for an application, at best, it can be a waste of money, and at worst, it can cause irreparable damage to the bridge under earthquake loads.
This study aims at investigating the effectiveness of a VD-LRBP system, viscous dampers for bridges in conjunction with LRBPs, in limiting the relative displacement of super-structure against sub-structure under various earthquakes in transverse direction. 3D Nonlinear Time History Analysis (NTHA) of a reinforced concrete bridge has been conducted to evaluate the effectiveness of the proposed system. OpenSees, an open-source finite element analysis software, has been used for modeling of the bridge. The results of this study show the effectiveness of the application of viscous damper in reducing the large displacement caused by sliding at bearing and for dissipating the earthquake energy. As importantly, applying viscous dampers shows reduction in residual displacement that might exist after the earthquakes. The introduced system is economical; labor-friendly; and can be added, repaired, or changed easily after an earthquake. It is expected that this study will help the proliferation of the application of the proposed system in seismic areas.
The major contribution of this study is investigating and proving the effectiveness of the combined LRBPs and viscous dampers in reducing or eliminating sliding of the superstructure with respect to supports. To accomplish this, 3D nonlinear time history analysis (3D NTHA) validated with the experimental results was used for accurately simulating the seismic behavior against several reference ground motions.