基于高斯过程模型的桥梁时变系统地震易损性分析

桥梁在长期服役过程中面临的氯离子侵蚀作用会导致材料性能退化,进而影响桥梁结构的抗震性能。准确评估服役桥梁的抗震性能可以有效保障和提高桥梁结构的安全性,因此开展考虑时变效应的桥梁地震易损性分析非常必要。考虑到地震易损性分析涉及大量的动力时程分析,计算效率很低,故采用高斯过程模型取代耗时的动力时程分析,旨在提高地震易损性分析效率。以一座三跨连续梁桥为例,探究氯离子侵蚀作用下桥墩材料性能的退化规律,建立纵筋、箍筋以及保护层和核心混凝土材料性能退化时变曲线;基于高斯过程模型和联合概率地震需求模型,建立桥梁系统在不同服役年限下的易损性曲线和曲面。结果表明：(1)氯离子侵蚀作用明显降低了桥墩钢筋混凝土材料的强度;(2)氯离子侵蚀作用明显提高了高等级损伤的桥梁地震易损性,结构更容易发生高等级损伤。     

Structural strength deterioration of coastal bridge piers considering non-uniform corrosion in marine environments

In the aggressive marine environment over a long-term service period,coastal bridges inevitably sustain corrosion-induced damage due to high sea salt and humidity.This paper investigates the strength reduction of coastal bridges,especially focusing on the effects of non-uniform corrosion along the height of bridge piers.First,the corrosion initiation time and the degradation of reinforcement and concrete are analyzed for bridge piers in marine environments.To investigate the various damage modes of the concrete cover,a discretization method with fiber cells is used for calculating time-dependent interaction diagrams of cross-sections of the bridge piers at the atmospheric zone and the splash and tidal zone under a combination of axial force and bending moment.Second,the shear strength of these aging structures is analyzed.Numerical simulation indicates that the strength of a concrete pier experiences dramatic reduction from corrosion initiation to the spalling of the concrete cover.Strength loss in the splash and tidal zone is more significant than in the atmospheric zone when structures’service time is assumed to be the same.     

Effect of mechanical degradation of laminated elastomeric bearings and shear keys upon seismic behaviors of small-to-medium-span highway bridges in transverse direction

Laminated elastomeric bearings have been widely used for small-to-medium-span highway bridges in China, in which concrete shear keys are set transversely to prohibit large girder displacement. To evaluate bridge seismic responses more accurately, proper analytical models of bearings and shear keys should be developed. Based on a series of cyclic loading experiments and analyses, rational analytical models of laminated elastomeric bearings and shear keys, which can consider mechanical degradation, were developed. The effect of the mechanical degradation was investigated by examining the seismic response of a small-to-medium-span bridge in the transverse direction under a wide range of peak ground accelerations (PGA). The damage mechanism for small-to-medium-span highway bridges was determined, which can explain the seismic damage investigation during earthquakes in recent years. The experimental results show that the mechanical properties of laminated elastomeric bearings will degrade due to friction sliding, but the degree of decrease is dependent upon the influencing parameters. It can be concluded that the mechanical degradation of laminated elastomeric bearings and shear keys play an important role in the seismic response of bridges. The degradation of mechanical properties of laminated elastomeric bearings and shear keys should be included to evaluate more precise bridge seismic performance.     

Effect of cumulative seismic damage and corrosion on the life‐cycle cost of reinforced concrete bridges

Bridge design should take into account not only safety and functionality, but also the cost effectiveness of investments throughout a bridge life‐cycle. This paper presents a probabilistic approach to compute the life‐cycle cost (LCC) of corroding reinforced concrete (RC) bridges in earthquake‐prone regions. The approach is developed by combining cumulative seismic damage and damage associated with corrosion due to environmental conditions. Cumulative seismic damage is obtained from a low‐cycle fatigue analysis. Chloride‐induced corrosion of steel reinforcement is computed based on Fick's second law of diffusion. The proposed methodology accounts for the uncertainties in the ground motion parameters, the distance from the source, the seismic demand on the bridge, and the corrosion initiation time. The statistics of the accumulated damage and the cost of repairs throughout the bridge life‐cycle are obtained by Monte‐Carlo simulation. As an illustration of the proposed approach, the effects of design parameters on the LCC of an example RC bridge are studied. The results are valuable in better estimating the condition of existing bridges and, therefore, can help to schedule inspection and maintenance programs. In addition, by taking into consideration the two deterioration processes over a bridge life‐cycle, it is possible to estimate the optimal design parameters by minimizing, for example, the expected cost throughout the life of the structure. A comparison between the effects of the two deterioration processes shows that, in seismic regions, the cumulative seismic damage affects the reliability of bridges over time more than the corrosion even for corrosive environments. Copyright © 2008 John Wiley & Sons, Ltd.     

Consideration of aging and SSI effects on seismic vulnerability assessment of RC buildings

At present, the seismic vulnerability assessment of reinforced concrete (RC) buildings is made considering fixed base conditions; moreover, the mechanical properties of the building remain intact in time. In this study we investigate whether these two fundamental hypotheses are sound as aging and soil-structure interaction (SSI) effects might play a crucial role in the seismic fragility analysis of RC structures. Among the various aging processes, we consider the chloride-induced corrosion based on probabilistic modeling of corrosion initiation time and corrosion rate. Different corrosion aspects are considered in the analysis including the loss of reinforcement cross-sectional area, the degradation of concrete cover and the reduction of steel ultimate deformation. SSI is modeled by applying the direct one-step approach, which accounts simultaneously for inertial and kinematic interactions. Two-dimensional incremental dynamic analysis is performed to assess the seismic performance of the initial uncorroded ( \(\hbox {t}=0\) years) and corroded ( \(\hbox {t}=50\) years) RC moment resisting frame structures, having been designed with different seismic code levels. The time-dependent fragility functions are derived in terms of the spectral acceleration at the fundamental mode of the structure \(\hbox {S}_{\mathrm{a}}(\hbox {T}_{1}\) , 5 %) and the outcropping peak ground acceleration for the immediate occupancy and collapse prevention limit states. Results show an overall increase in seismic vulnerability over time due to corrosion highlighting the important influence of deterioration due to aging effects on the structural behavior. Moreover, the consideration of SSI and site effects may significantly alter the expected structural performance leading to higher vulnerability values.     

三水准超越概率水平地震动峰值加速度关系分析

以35个工程场地地震安全性评价结果为样本,统计分析了三水准超越概率水平地震动峰值加速度（PGA）关系。结果表明：50年超越概率63％和2％地震动峰值加速度与50年超越概率10％地震动峰值加速度的比值,在不同场地类别条件下变化不显著。     

设置无粘结钢筋的铁路重力式桥墩抗震性能试验研究

针对铁路少筋混凝土重力式桥墩的延性不足和抗震耗能能力较差的问题,本文提出了一种兼顾改善桥墩延性与强度的抗震措施,即在墩身底部设置局部纵向无粘结钢筋,其余墩身部分的纵向钢筋保持不变。共设计了4个桥墩模型,通过拟静力试验研究了配筋率和粘结方式对少筋混凝土重力式桥墩抗震性能的影响。结果表明：无粘结模型桥墩的破坏形式为弯曲破坏。与完全粘结的模型桥墩相比,未粘结模型桥墩的滞回曲线更加饱满,桥墩的延性性能和耗能能力均得到了显著提高,且采用无粘结方式对于低配筋率模型桥墩的延性及累积耗能的提高更加明显。配筋率对模型桥墩的刚度退化速率影响较大,且高配筋率的无粘结模型桥墩的刚度退化比低配筋率明显。     

Selection of optimal intensity measures in probabilistic seismic demand models of highway bridge portfolios

Probabilistic seismic demand models are a common and often essential step in generating analytical fragility curves for highway bridges. With these probabilistic models being traditionally conditioned on a single seismic intensity measure (IM), the degree of uncertainty in the models is dependent on the IM used. Selection of an optimal IM for conditioning these demand models is not a trivial matter and has been the focus of numerous studies. Unlike previous studies that consider a single structure for IM selection, this study evaluates optimal IMs for use when generating probabilistic seismic demand models for bridge portfolios such as would be found in HAZUS‐MH. Selection criteria such as efficiency, practicality, sufficiency, and hazard computability are considered in the selection process. A case study is performed considering the multi‐span simply supported steel girder bridge class. Probabilistic seismic demand models are generated considering variability in the geometric configurations and material properties, using two suites of ground motions—one synthetic and one recorded motion suite. Results show that of the 10 IMs considered, peak ground acceleration (PGA) and spectral acceleration at the fundamental period are the most optimal for the synthetic motions, and that cumulative absolute velocity is also a close contender when using recorded motions. However, when hazard computability is considered, PGA is selected as the IM of choice. Previous studies have shown that spectrally based quantities perform better than PGA for a given structure, but the findings of this study indicate that when a portfolio of bridges is considered, PGA should be used. Copyright © 2007 John Wiley & Sons, Ltd.     

模糊检测数据下服役钢筋混凝土桥梁的动态可靠度评估

针对服役桥梁的可靠性评估中无法基于不完备、缺陷的检测数据准确获得变量统计特征的问题,提出了模糊检测数据下既有钢筋混凝土桥梁的动态可靠性分析方法。以氯盐腐蚀下引起钢筋截面积减弱,导致结构承载能力和可靠性能降低为主线,采用隶属函数来描述缺陷信息,通过等概率原理将模糊变量转化成当量随机变量,进而基于任意概率密度函数的Monte Carlo抽样方法,分析了一座实桥的动态可靠指标变化情况。结果表明：模糊检测数据的均值对钢筋截面减弱影响较大,其中保护层厚度均值对其影响最为显著,这同样表现在对可靠指标的影响中;变量模糊幅度的影响较小,在确定隶属函数的过程中,更应注重隶属函数的均值。     

Mesoscopic investigation on seismic performance of corroded reinforced concrete columns

In addition to the normal service loadings, engineering structures may be subjected to occasional loadings such as earthquakes, which may cause severe destruction. When the steel rebar is corroded, the damage could be more serious. To investigate the seismic performance of corroded RC columns, a three-dimensional mesoscale finite element model was established. In this approach, concrete was considered as a three-phase composite composed of aggregate, mortar matrix and interfacial transition zone...     

An investigation on the ground motion parameters and seismic response of underground structures

Peak ground acceleration (PGA), frequency content and time duration are three fundamental parameters of seismic loading. This study focuses on the seismic load frequency and its effect on the underground structures. Eight accelerograms regarding different occurred earthquakes that are scaled to an identical PGA and variation of ground motion parameters with ratio of peak ground velocity (PGV) to PGA, as a parameter related to the load frequency, are considered. Then, concrete lining response of a circular tunnel under various seismic conditions is evaluated analytically. In the next, seismic response of underground structure is assessed numerically using two different time histories. Finally, effects of incident load frequency and frequency ratio on the dynamic damping of geotechnical materials are discussed. Result of analyses show that specific energy of seismic loading with identical PGA is related to the seismic load frequency. Furthermore, incident load frequency and natural frequency of a system have influence on the wave attenuation and dynamic damping of the system.     

Shake-table tests and numerical simulation of an innovative isolation system for highway bridges

Damage investigation of small to medium-span highway bridges in Wenchuan earthquake revealed that typical damage of these bridges included: sliding between laminated-rubber bearings and bridge girders, concrete shear keys failure, excessive girder displacements and even span collapse. However, the bearing sliding could actually act as a seismic isolation for piers, and hence, damage to piers for these bridges was minor during the earthquake. Based on this concept, an innovative solation system for highway bridges with laminated-rubber bearings is developed. The system is comprised of typical laminated-rubber bearings and steel dampers. Bearing sliding is allowed during an earthquake to limit the seismic forces transmitting to piers, and steel dampers are applied to restrict the bearing displacements through hysteretic energy dissipation. As a major part of this research, a quarter-scale, two-span bridge model was constructed and tested on the shake tables to evaluate the performance of this isolation system. The bridge model was subjected to a Northridge and an artificial ground motion in transverse direction. Moreover, numerical analyses were conducted to investigate the seismic performance of the bridge model. Besides the test bridge model, a benchmark model with the superstructure fixed to the substructure in transverse direction was also included in the numerical analyses. Both the experimental and the numerical results showed high effectiveness of this proposed isolation system in the bridge model. The system was found to effectively control the pier-girder relative displacements, and simultaneously, protect the piers from severe damage. Numerical analyses also validated that the existing finite element methods are adequate to estimate the seismic response of bridges with this isolation system.     

基于机器学习的铁路桥墩地震损伤快速评估

在桥梁的震后抢通工作中,桥梁结构的快速损伤评估是恢复交通的关键环节。以具有代表性的铁路矩形桥墩为研究对象,通过4组拟静力试验验证有限元建模方法的合理性,并对1 000组桥墩有限元模型分别按照纵桥向和横桥向进行耐震时程分析,通过搭建BP神经网络对地震动力响应的需求结果进行拟合,构建铁路矩形桥墩震损快速评估模型,最终通过一座三跨混凝土梁桥验证该模型的适用性。研究结果表明：配筋率、配箍率、剪跨比和轴压比是影响桥墩地震损伤的四种主要因素,长宽比、混凝土和钢筋强度是影响桥墩地震损伤的三项次要因素;当发生PGA为0.32g的设计地震时,通过数值分析和神经网络模型快速评估这两种方法计算所得桥梁四个桥墩轻微损伤概率分别为96.7%、44.6%、49.1%、96.7%和95.6%、40.4%、60.9%、95.8%,中度损伤概率分别为40.1%、1.2%、1.6%、40.1%和37.4%、2.3%、6.0%、37.7%;BP神经网络算法能够有效建立构造参数与地震响应之间的联系,输出误差处于合理范围内,回归程度较好。基于BP神经网络的桥梁地震损伤评估模型具有较好的普适性,能替代部分数值仿真计算工作。     

考虑锈蚀损伤的黏结滑移本构模型

为合理反映钢筋锈蚀后黏结滑移性能劣化对钢筋混凝土(RC)结构抗震性能的影响,在既有黏结应力分布模式的基础上,推导得到钢筋应力-滑移关系,进而通过分析锈蚀对混凝土与钢筋界面黏结滑移机理的影响,建立考虑钢筋锈蚀损伤的黏结滑移本构模型。基于已有拉拔试验结果,与仅考虑纵筋锈蚀率影响的Cheng模型进行对比,验证所建模型的合理性与准确性。基于OpenSees有限元平台,采用纤维梁柱单元和零长度截面单元串联的方式,将所建钢筋黏结滑移模型嵌套于零长度截面单元的钢筋本构中,建立可考虑黏黏结滑移的锈蚀损伤纤维梁柱模型,并通过6根锈蚀RC柱拟静力试验结果验证模型的准确性,结果发现所提考虑黏结滑移的锈蚀RC纤维梁柱模型计算所得滞回曲线与试验滞回曲线吻合良好,累计耗能最大误差不超过15%。此外,通过参数分析研究影响锈蚀钢筋滑移量的因素,结果表明屈服滑移量与极限滑移量随体积配箍率的增大而明显减小,随混凝土保护层与钢筋直径之比(c/d)增大而变化的幅度较小。     

Time‐variant sustainability assessment of seismically vulnerable bridges subjected to multiple hazards

In the design and assessment of structures, the aspects regarding the future performance are gaining increased attention. A wide range of performance measures is covered by ‘sustainability’ to reflect these aspects. There is the need for well established methods for quantifying the metrics of sustainability. In this paper, a framework for assessing the time‐variant sustainability of bridges associated with multiple hazards considering the effects of structural deterioration is presented. The approach accounts for the effects of flood‐induced scour on seismic fragility. Sustainability is quantified in terms of its social, environmental, and economic metrics. These include the expected downtime and number of fatalities, expected energy waste and carbon dioxide emissions, and the expected loss. The proposed approach is illustrated on a reinforced concrete bridge. The effects of corrosion on reinforcement bars and concrete cover spalling are accounted. The seismic fragility curves at different points in time are obtained through nonlinear finite element analyses. The variation of the metrics of sustainability in time is presented. The effects of flood‐induced scour on both seismic fragility and metrics are also investigated. Copyright © 2013 John Wiley & Sons, Ltd.     

强震区轻骨料混凝土桥梁地震响应研究

为研究轻骨料混凝土桥梁的地震响应,以一座强震区典型连续梁桥为研究对象,在考虑轻骨料混凝土材料特性基础上建立桥梁结构有限元分析模型,采用非线性动力时程分析法进行结构地震响应分析,研究轻骨料混凝土材料布设位置对桥梁结构动力特性和地震响应的影响,并从内力和位移响应方面与普通混凝土桥梁进行对比。结果表明:与普通混凝土桥梁相比,仅上部结构或仅下部结构采用轻骨料混凝土对降低桥墩内力并不明显,而全桥采用轻骨料混凝土能够显著降低桥墩内力。轻骨料混凝土桥梁与普通混凝土桥梁地震内力和位移响应变化趋势不同,桥墩塑性发展程度和时间存在差异。采用轻骨料混凝土桥梁方案时,应综合考虑结构质量、刚度分布及材料塑性特性与普通混凝土桥梁的不同,合理确定抗震设计方案。     

强震环境下带钢避难建筑抗震模型设计

避难建筑通常采用置换混凝土方法抗震,建筑对高强度地震的抗震性能差。因此提出高强度地震下带钢避难建筑抗震设计方法,采用复杂网络带钢避难建筑加固模型对加固前建筑的混泥土强度与荷载能力进行计算,增大框架柱截面,提升带钢避难建筑荷载。采用复合墙体受力加固模型提升建筑墙体抗震性。对加固后建筑模型的坍塌风险评估时,采用带钢避难建筑坍塌的全概率衡量加固后建筑在设计使用年限内的抗坍塌安全性。设计使用年限内加固后的带钢避难建筑的强震CRC超出概率是P(IMCRC),确保其在高强度地震下具有较高的抗震性能。实验结果说明,所提方法下的带钢避难建筑在遇到强震情况时具有较高的抗震性能。     

地震动空间效应对大跨度桥梁非线性地震响应的影响

由于大跨度桥梁的桥墩间距离较大,其地震响应分析应考虑地震动输入的空间效应。本文建立了多点激励下大跨度桥梁地震响应分析方法,采用损伤塑性本构模型模拟混凝土材料特性,考虑地震动空间效应对大跨度连续刚构桥进行非线性地震响应分析,从而分析地震动空间效应对大跨度桥梁地震响应的影响。研究表明:考虑行波激励或多点激励时桥梁地震响应较一致激励而言有所差异,考虑地震动空间效应时可能会夸大或减小桥梁结构的动力响应;多点激励时桥梁地震响应会随视波速的改变而变化。由此得出结论,对于大跨度桥梁地震响应分析应合理的考虑地震动空间效应。     

考虑动水压力的桥墩钢筋锈蚀抗震性能改进模型研究

针对考虑动水压力作用下桥墩内部钢筋锈蚀后抗震力学性能变化规律的问题,通过力学推导和abaqus有限元模拟研究了桥墩的力学性能,首先依托塑性铰区域高度计算公式,构建桥墩动水压力计算简化模型,通过改进有限元计算模型,提出了优化后的考虑钢筋锈蚀的桥墩计算公式。计算结果表明：动水压力作用下桥墩底部钢筋锈蚀与混凝土损伤对桥墩主压应力影响最大,其他区域钢筋锈蚀影响较小,并对桥梁承载力计算公式进行修正,为后期同类工程计算提供了理论依据。     

桥梁结构抗震挡块的研究现状与展望

综述了桥梁抗震挡块的几类典型结构形式,对常见挡块的实际震害形式、破坏机理以及力学分析模型的研究现状进行了分析,归纳总结了不同规范中桥梁抗震挡块的设计方法。对当前挡块抗震研究和设计中存在的问题进行了分析和讨论,并提出了一种新型的预应力装配式超高性能混凝土(UHPC)挡块形式。研究结果表明:传统整体式混凝土挡块的主要破坏模式为斜剪和平剪破坏,既有试验中已对两种模式的破坏机理进行了较深入的研究;相比传统整体式混凝土挡块,滑移型混凝土挡块和弹塑性钢挡块在抗震设计中更具可控性,值得进一步在国内推广和应用;美国规范按挡块类型分别给出了不同的设计策略,并对挡块的承载力计算方法和配筋形式进行了说明,值得我国桥梁抗震设计规范借鉴;提出的装配式UHPC挡块具有传力简单明确、自复位和震后修复更换方便等特点,可作为我国中小跨径桥梁结构抗震挡块设计及加固的一种有益补充,值得进一步展开深入的研究。