Bidirectional loading hybrid tests of square cross‐sections of steel bridge piers

Steel rectangular section columns with stiffened plates are commonly used for elevated highway bridges in the urban areas of Japan. The seismic design of bridge piers is usually performed by dynamic analysis in the horizontal direction using various independent directional seismic acceleration data. However, this simple treatment does not reflect the effect of bilateral loading as a structural response to inelastic interaction. In this study, unidirectional and bidirectional loading hybrid tests were conducted to examine the seismic response and performance of square cross‐sections of steel bridge piers subjected to bidirectional seismic accelerations. Comparison of the results of unidirectional and bidirectional loading tests revealed that the maximum load is the same as the average of unidirectional loading in the NS and EW directions; however, the maximum response displacement and residual displacement increase in proportion with hard to soft ground types. Moreover, a modified seismic design is proposed considering these bidirectional loading effects. Copyright © 2012 John Wiley & Sons, Ltd.     

Seismic fragility curves for greek bridges: methodology and case studies

This study focusses on the estimation of seismic fragility curves for all common bridge types found in modern greek motorways. At first a classification scheme is developed in order to classify the existing bridges into a sufficient number of classes. A total of 11 representative bridge classes resulted, based on the type of piers, deck, and pier-to-deck connection. Then an analytical methodology for deriving fragility curves is proposed and applied to the representative bridge models. This procedure is based on pushover analysis of the entire bridge and definition of damage states in terms of parameters of the bridge pushover curves. The procedure differentiates the way of defining damage according to the seismic energy dissipation mechanism in each bridge, i.e. bridges with yielding piers of the column type and bridges with bearings (with or without seismic links) and non-yielding piers of the wall type. The activation of the abutment-backfill system due to closure of the gap between the deck and the abutments is also taken into account. The derived fragility curves are subjected to a first calibration against empirical curves based on damage data from the US and Japan.     

Reliability of U‐shaped steel dampers used in base‐isolated structures subjected to biaxial excitation

A reliable performance of anti‐seismic devices when the upper‐structure is subjected to strong biaxial seismic excitation is of vital importance to ensure the latter doesn't reach critical behavior. U‐shaped steel dampers are hysteretic devices used to dissipate the earthquake‐induced energy of base‐isolated structures. In the framework of performance‐based design, which is gaining more and more recognition, it is of particular importance to assess the performance of base‐isolated structures with such dampers under different intensity levels of bidirectional ground motion. To achieve this goal, an analytical model able to simulate the bidirectional displacement response of an isolation system is adopted. Incremental dynamic analysis (IDA) is used to obtain the relation between the earthquake‐induced bidirectional damage of U‐shaped steel dampers and different intensity levels of the considered records. The performance of the dampers is categorized into 5 levels delimited by 4 limit states for which fragility curves are derived. The results obtained using the bidirectional approach are quantitatively compared to those given by employing an in‐plane model (widely used in current design practices in Japan) with the purpose of assessing whether the latter provides unconservative estimates of the performance of the dampers. The main conclusion is that, for large seismic intensities, the safety margin against fracture of the dampers is significantly overestimated when an in‐plane model is adopted. Copyright © 2016 John Wiley & Sons, Ltd.     

Evaluation of a multimode pushover procedure for asymmetric in plan buildings under biaxial seismic excitation

In this paper a recently developed multimode pushover procedure for the approximate estimation of structural performance of asymmetric in plan buildings under biaxial seismic excitation is evaluated. Its main idea is that the seismic response of an asymmetric multi-degree-of-freedom system with \(N\) degrees of freedom under biaxial excitation can be related to the responses of \(N\) ‘modal’ equivalent single-degree-of-freedom (E-SDOF) systems under uniaxial excitation. The steps of the proposed methodology are quite similar to those of the well-known modal pushover analysis. However, the establishment of the (E-SDOF) systems is based on a new concept, in order to take into account multidirectional seismic effects. The proposed methodology does not require independent analysis in the two orthogonal directions and therefore the application of simplified superposition rules for the combination of seismic component effects is avoided. After a brief outline of the theoretical background and the application process, an extensive evaluation study is presented, which shows that, in general, the proposed methodology provides a reasonable estimation for the vast majority of the calculated response parameters.     

地震作用下柱承式筒仓仓壁侧压力试验研究

地震作用下贮料对筒仓产生的超压是造成筒仓损伤破坏的原因之一。为研究地震作用下贮料的地震响应特性及变化规律,对缩尺比例为1∶25的柱承式筒仓模型开展了单向和双向地震作用下的振动台试验,揭示了筒仓仓壁动态侧压力分布规律和超压系数,建立了仓壁动态侧压力的计算方法。研究表明:（1）地震时筒仓内贮料的运动滞后于仓壁,随着地震动持续滞后逐渐明显,且沿仓壁顶部至底部滞后不断减弱;（2）动态侧压力分布规律与测点布置位置、地震波的输入方式相关;（3）仓体顶部范围内超压系数试验值大于规范采用值,现行规范中采用的修正系数偏小;（4）仅依据单向地震激励,尚不足以真实反映地震作用下筒仓贮料的动力学特性,筒仓结构强度设计时不应忽略双向地震作用。研究成果可为柱承式筒仓的抗震设计提供参考和依据。     

Spatial seismic modeling of base‐isolated buildings pounding against moat walls: effects of ground motion directionality and mass eccentricity

Structural impact between adjacent buildings may induce local and, in some extreme cases, severe damage, especially in the case of seismically isolated buildings. This study parametrically investigates in the three‐dimensional domain the effect of pounding on the peak response of base‐isolated buildings, which are simulated as nonlinear three‐dimensional multi‐degree‐of‐freedom systems. Firstly, it is shown that considering unidirectional, instead of bidirectional, excitations may lead to underestimation of the base drift demands. Subsequently, the peak responses of seismically isolated buildings utilizing lead rubber bearings are studied while varying important parameters, such as the incidence angle of seismic excitations, the available seismic clearance, and mass eccentricities, under the action of bidirectional horizontal excitations. A large number of numerical simulations are performed using a specially developed software that implements an efficient approach to model impacts, taking into account arbitrary locations of contact points. It is found that the peak interstory drift ratio is significantly influenced by the directionality of the ground motion. Therefore, the seismic performance of structures should ideally be assessed examining the peak structural response while bidirectional ground motions are imposed at various incident angles. Furthermore, it is also observed that the interstory drift ratios increase while decreasing the available gap size, up to a certain value. Finally, the parametric analyses indicate that the effects of impact are more severe for structures with mass eccentricities, and in which case, the estimation of the critical incidence angle becomes more laborious. Copyright © 2016 John Wiley & Sons, Ltd.     

Bidirectional shaking table tests of a low-cost friction sliding system with flat-inclined surfaces

A novel low-cost friction sliding system for bidirectional excitation is developed to improve the seismic performance of reinforced concrete (RC) bridge piers. The sliding system is a spherical prototype developed by combining a central flat surface with an inclined spherical segment, characterized by stable oscillation and a large reduction in response accelerations on the flat surface. The inclined part provides a restoring force that limits the residual displacements of the system. Conventional steel and concrete are employed to construct a flat-inclined spherical surface atop an RC pier. The seismic forces are dissipated through the frictions generated during the sliding movements; hence, the seismic resilience of bridges can be ensured with a low-cost design solution. The proposed system is fabricated utilizing a mold created by a three-dimensional printer, which facilitates the use of conventional concrete to construct spherical shapes. The concrete surface is lubricated with a resin material to prevent abrasion from multiple input ground motions. To demonstrate the effectiveness of the system, bidirectional shaking table tests are conducted in the longitudinal and transverse directions of a scaled bridge model. The effect of the inclination angle and the flat surface size is investigated. The results demonstrate a large decrease in response acceleration when the system exhibits circular sliding displacement. Furthermore, the inclination angle that generates the smallest residual displacement is identified experimentally.     

静力弹塑性分析(Pushover Analysis)在多跨简支梁桥中的应用

阐述了静力弹塑性分析的基本原理与过程,介绍了该方法在桥梁工程中的应用与实践状况,并且结合一座6孔简支梁桥的抗震性能评估的工程实例,采用pushover方法对全桥模型进行了抗震性能的分析计算,结果表明该桥梁满足设防烈度下的抗震要求,同时也指出了采用pushover方法时应该注意计算模型和加载模式的选择等问题,为静力弹塑性分析方法在桥梁工程中的应用提供了参考.     

地震作用下曲线梁桥双向碰撞作用影响分析

碰撞作用直接影响到桥梁不同构件的地震响应,是桥梁抗震研究中一直关注的问题。针对地震作用下曲线梁桥因主梁面内转动而发生主梁与切向桥台和径向挡块碰撞的现象,以1座3跨预应力混凝土连续梁桥为例,采用非线性时程分析方法,对曲线连续梁桥的双向碰撞作用影响进行研究,并分析了不同减撞措施的效果。结果表明:考虑双向碰撞作用后,下部结构响应有明显增加,主梁转动现象变得复杂,曲线梁桥地震响应分析中应通过建立精细化模型来考虑主梁双向碰撞作用的影响;在切向桥台处设置限位拉锁装置能起到较好的减轻双向碰撞作用的影响,以及采用减隔震设计后,减撞效果更明显,桥梁抗震性能明显改善,但合理减撞措施设计参数应结合曲线梁桥约束体系及结构设计参数进行体系分析确定。     

Prediction of the largest peak nonlinear seismic response of asymmetric buildings under bi-directional excitation using pushover analyses

A simplified procedure is proposed to predict the largest peak seismic response of an asymmetric building to horizontal bi-directional ground motion, acting at an arbitrary angle of incidence. The main characteristics of the proposed procedure is as follows. (1) The properties of two independent equivalent single-degree-of-freedom models are determined according to the principal direction of the first modal response in each nonlinear stage, rather than according to the fixed axis based on the mode shape in the elastic stage; the principal direction of the first modal response in each nonlinear stage is determined based on pushover analysis results. (2) The bi-directional horizontal seismic input is simulated as identical spectra of the two horizontal components, and the contribution of each modal response is directly estimated based on the unidirectional response in the principal direction of each. (3) The drift demand at each frame is determined based on four pushover analyses considering the combination of bi-directional excitations. In the numerical example, nonlinear time-history analyses of six four-story torsionally stiff (TS) asymmetric buildings are carried out considering various directions of seismic inputs, and these results are compared with the predicted results. The results show that the proposed procedure satisfactorily predicts the largest peak response displacement at the flexible-side frame of a TS asymmetric building.     

A pushover procedure for seismic assessment of buildings with bi-axial eccentricity under bi-directional seismic excitation

A new modal pushover procedure is proposed for seismic assessment of asymmetric-plan buildings under bi-directional ground motions. Although the proposed procedure is a multi-mode procedure and the effects of the higher and torsional modes are considered, the simplicity of the pushover procedure is kept and the method requires only a single-run pushover analysis for each direction of excitation. The effects of the frequency content of a specific ground motion and the interaction between modes at each direction are all considered in the single-run pushover analysis. For each direction, the load pattern is derived from the combined modal story shear and torque profiles. The pushover analysis is conducted independently for each direction of motion (x and y), and then the responses due to excitation in each direction are combined using SRSS (Square Roots of Sum of Squares) combination rule. Accuracy of the proposed procedure is evaluated through two low- and medium-rise buildings with 10% two-way eccentricity under different pairs of ground motions. The results show promising accuracy for the proposed method in predicting the peak seismic responses of the sample buildings.     

断层走向对刚构桥地震反应的影响

我国西部部分连续刚构桥临近地震断层建设,在抗震分析时通常会忽略断层走向与桥梁纵桥向夹角对其地震反应的影响。利用Midas Civil软件建立4座墩高不同的大跨度连续刚构桥模型,选取10组近断层强震记录进行时程分析,研究断层走向对刚构桥地震反应(位移和弯矩反应)的影响。结果显示：在水平双向近断层地震动输入下,桥梁主墩及主梁纵桥向地震反应在断层走向与纵桥向夹角为75°～135°范围内最大,而横桥向最大地震反应则发生在夹角为0°～30°或120°～180°范围;在三向近断层地震动输入下,与仅考虑水平双向地震动输入下的桥梁地震反应相比,竖向地震动对主梁竖向弯矩响应的影响较大,特别是主墩和主梁的交界处,增大比例可达2倍及以上。就文章选取的4座桥梁算例,不考虑断层走向和桥梁纵桥向的夹角则存在低估桥梁地震反应的可能,低估误差在15%～40%左右。     

不同地震激励方向下隔震曲线梁桥易损性分析

为进一步评估隔震曲线梁桥在地震激励下的抗震性能,从地震易损性角度出发并兼顾考虑地震激励方向对其易损性的影响。利用APDL建立采用板式橡胶支座的隔震曲线梁桥有限元模型,从PEER中选取同一地震事件中的近断层地震动,按规范规定比例输入水平双向地震动进行非线性动力时程分析,结合地震响应与损伤指标计算得到各构件地震易损性曲线;考虑地震激励方向的变化,通过MATLAB编程绘制得到桥梁结构构件(桥墩与支座)以及整体系统的地震易损性曲面,分析探讨地震激励方向对隔震曲线梁桥易损性的影响。结果表明：不同极限状态下各桥墩切向损伤条件概率明显大于其径向,各支座的切向与径向易损性相差不大,但仍是各支座的切向易损性略大于径向易损性;桥梁各构件(桥墩与支座)切向易损性对地震激励方向均表现出很强依赖性,而径向易损性对其的依赖性相对较弱,且伴随损伤等级的提高,构件易损性对地震激励方向更加敏感;桥梁整体系统易损性对地震激励方向的变化不太敏感,且因各构件响应之间的相关性较高,其系统易损性更接近于易损性最大的构件——易损性下限;当进行隔震曲线梁桥抗震性能评估时,应考虑不同地震激励方向对其地震易损性的影响,从而使得易损性分析...     

多维地震下考虑桩-土相互作用的曲线桥地震响应分析

为研究曲线桥梁在多维地震激励下考虑桩-土动力相互作用的地震响应特性,本文建立了空间桩-土脱离、摩阻和土体压缩非线性理论分析模型。为简化计算将该非线性弹簧模型进行线性化处理,结合有限元ANSYS分析平台建立了黄土场地的曲线桥仿真分析模型,对考虑桩-土相互作用的曲线桥进行了多维多工况数值分析,对比研究了曲线主梁跨中弯矩、墩底剪力和弯矩及桥墩顶位移的地震响应。结果表明:考虑桩-土相互作用的曲线桥梁主梁跨中内力与地震波输入方向密切相关,三维地震作用下主梁内力最大;各工况地震荷载作用下桥墩底部径向剪力响应比切向剪力响应大很多,而桥墩径向弯矩比切向弯矩略小;同一工况下不同桥墩顶切向位移响应大小相当,而径向位移差异较大。在进行非规则曲线桥梁抗震设计时,应充分考虑多维和单维地震激励输入工况。     

双向近场地震作用下HDR隔震梁桥地震响应研究

以HDR隔震梁桥多自由度（MDOF）模型和等效双线性单自由度（SDOF）模型为研究对象，以典型近场地震动作为输入，研究HDR支座双向耦合效应对HDR隔震梁桥地震响应的影响。研究结果表明:不考虑双向耦合效应的HDR支座滞回曲线呈典型双线性；考虑双向耦合效应的HDR支座滞回曲线面积小于不考虑双向耦合效应的HDR支座滞回曲线面积。不考虑双向耦合效应的顺桥向HDR支座位移峰值d_b大于考虑双向耦合效应时，但横桥向的结果相反。近场地震作用下，对梁桥进行HDR支座隔震设计时，忽略双向耦合效应计算得到的墩底剪力峰值和弯矩峰值均偏于保守。可忽略HDR支座双向耦合效应对HDR隔震梁桥近场地震能量的影响。     

Limit state model for R.C. bridge joints under seismic loading

Most of the available models of monolithic reinforced concrete joints under seismic action focus on estimation of cracking and ultimate shear strengths. Very few studies have been directed towards developing expressions for the associated joint deformations at the milestone response points so as to compose a limit-state model for joints that would be compatible with the emerging framework of deformation based seismic assessment and design methods. This objective is pursued in the present paper with particular emphasis on monolithic bridge joints. Deformation capacity at yielding and failure of joints is derived by establishing equilibrium and geometric compatibility of smeared stresses and strains, and satisfying material constitutive relationships. Expressions and model parameters are calibrated with the database of published bridge joint tests assembled from International literature, using statistical evaluation. From the mean values of the design parameters simplified equations for shear strength and ultimate shear strain of bridge joints are proposed.     

双向地震作用下高铁FPS隔震简支梁桥纵向地震碰撞反应研究

为了准确分析FPS隔震桥梁的纵向地震碰撞反应,针对一典型3跨FPS隔震简支梁桥,建立了考虑FPS双向耦合效应和梁缝处三维碰撞效应的非线性动力计算模型,分析双向地震作用下FPS隔震简支梁桥纵向地震碰撞反应;研究支座半径和摩擦系数对简支梁桥纵向地震碰撞反应的影响规律。研究结果表明:横向地震作用会增大简支梁邻梁间纵向地震碰撞次数和碰撞力,降低墩底纵向剪力;为减小地震碰撞反应,设计时可适当增大支座半径和支座摩擦系数。     

Double deck bridge behavior and failure mechanism under seismic motions using nonlinear analyzes

This paper investigates the behavior and the failure mechanism of a double deck bridge constructed in China through nonlinear time history analysis.A parametric study was conducted to evaluate the influence of different structural characteristics on the behavior of the double deck bridge under transverse seismic motions,and to detect the effect of bidirectional loading on the seismic response of this type of bridge.The results showed that some characteristics,such as the variable lateral stiffness,the foundation modelling,and the longitudinal reinforcement ratio of the upper and lower columns of the bridge pier bents have a major impact on the double deck bridge response and its failure mechanism under transverse seismic motions.It was found that the soft story failure mechanism is not unique to the double deck bridge and its occurrence is related to some conditions and structural characteristics of the bridge structure.The analysis also showed that the seismic vulnerability of the double deck bridge under bi-directional loading was severely increased compared to the bridge response under unidirectional transverse loading,and out-of-phase movements were triggered between adjacent girders.     

行波效应对铁路大跨连续刚构桥地震反应的影响

介绍了模拟地震地面运动的大质量法,推导了大跨度桥梁考虑行波效应的分析模型及解析方法。以大准黄河特大桥为工程背景,选取墩身刚度、地震波视波波速及不同的地震记录为主要参数,进行了考虑行波效应下铁路大跨连续刚构桥的时程反应分析,并与一致激励下的结果进行了对比。系统总结了此类桥梁在行波效应激励下的地震反应特点。本文分析方法和结果对同类桥梁的设计与研究具有一定的参考价值。     

双向水平地震动作用对某钢筋混凝土连续梁桥易损性的影响

以双向水平地震动作为输入,对钢筋混凝土连续箱梁高架桥开展非线性动力时程分析。建立基于双向水平地震动强度参数的桥梁结构易损性曲面,比较单向及双向水平地震动输入下桥梁结构易损性差异,分析双向水平地震动输入下横桥向地震动强度对桥梁整体易损性的影响规律。研究结果表明,双向水平地震动输入下的桥梁结构易损性明显高于单向地震动输入的情况,且随着横桥向输入地震动强度的增加,结构各破坏状态的超越概率明显增大。