基于响应面法的连续刚构地震可靠度分析

地震可靠度是桥梁抗震研究中的重要问题。基于随机分析的响应面理论和规范反应谱法,提出了一种分析具有随机结构参数的桥梁地震可靠度的方法,研究了结构的破坏准则及其极限状态方程,计算了高墩大跨连续刚构桥在地震激励下设计基准期内的动力可靠度。分析时考虑了结构参数和场地土的随机性,分别计算了连续刚构在多遇地震、设防地震和罕遇地震作用下的失效概率,得到了结构在设计基准期内,"三水准设防标准"条件下的地震可靠度。结果表明,该桥设计满足抗震规范要求。     

基于破坏指标界限值的结构抗震可靠度分析

结构抗震可靠性的分析一般即采用动力可靠度的研究方法进行。本文提出了进行结构抗震可靠度分析与计算的一种新方法,即基于破坏指标界限值的结构抗震可靠度分析方法。该方法在标定结构破坏指标范围进行破坏等级划分的基础上,采用JC法对结构在不同烈度地震作用下的各破坏状态概率进行计算,从而完成对结构抗震可靠性的分析。计算实例表明,该方法与经典动力可靠性分析所得结论相一致,这表明了本文方法的正确与可靠。     

大跨度斜拉桥在随机地震激励下的动力可靠性分析

以随机振动理论为基础,以苏通长江公路大桥为背景,对超大跨度斜拉桥在随机地震荷载作用下的动力可靠度展开研究。根据结构随机振动分析得到的响应统计量,采用结构可靠度分析的JC法(一次二阶矩法)和首次超越破坏理论,分析苏通大桥主梁关键截面上正应力的动力可靠度,并评价结构的抗震性能,分析结果证明该结构可靠性满足桥梁抗震需求。计算结果可为大跨度斜拉桥抗震可靠性分析提供参考。     

立式储油罐地震作用下的抗提离可靠度分析

储油罐在水平地震作用下会出现罐底提离而导致储油罐发生提离破坏,影响储油罐的可靠性。为了研究立式储油罐在地震作用下的抗提离可靠度情况,文中总结建立了在储油罐抗提离可靠度分析中涉及的随机变量的概率模型,运用可靠性分析的JC法对不同工况下的储油罐进行了抗提离可靠度计算,得出了储油罐在地震作用下的提离破坏规律。通过计算实例可以看出,对大型储油罐在地震作用下的抗提离可靠度分析是切实可行的。     

钢框架结构的非线性静力抗震可靠性分析 II:可靠度指标及其灵敏度

将有限元反应及其灵敏度分析与结构可靠度分析的近似解析方法结合起来,可以进行具有隐式功能函数的大型复杂结构的可靠性分析。在基于位移的非线性纤维梁柱单元及其灵敏度直接微分表达式的基础上,通过力学变换、概率变换和反应灵敏度,将结构可靠度计算方法FORM和SORM与有限元方法有机地集成在一起。依据现行抗震设计规范,建立了钢框架结构典型构件承载能力和结构层间变形能力的抗震极限状态方程,利用地震作用的等效随机静力模型,采用非线性有限元静力可靠度方法,对一实际工程结构的抗震可靠度及其灵敏度进行了概率分析和评价,结果表明:尽管在大震作用下该结构的层间弹塑性变形可靠度较高,但是构件极限承载能力的可靠度指标较低,仍然存在失效的可能性。因此,仅验算"小震"作用下结构的承载能力可靠度和"大震"作用下结构的变形能力可靠度是不够的,还需要验算在"中震"和"大震"作用下结构的极限承载能力可靠度。     

钢框架结构的非线性静力抗震可靠性分析Ⅱ:可靠度指标及其灵敏度

将有限元反应及其灵敏度分析与结构可靠度分析的近似解析方法结合起来,可以进行具有隐式功能函数的大型复杂结构的可靠性分析。在基于位移的非线性纤维梁柱单元及其灵敏度直接微分表达式的基础上,通过力学变换、概率变换和反应灵敏度,将结构可靠度计算方法FORM和SORM与有限元方法有机地集成在一起。依据现行抗震设计规范,建立了钢框架结构典型构件承载能力和结构层间变形能力的抗震极限状态方程,利用地震作用的等效随机静力模型,采用非线性有限元静力可靠度方法,对一实际工程结构的抗震可靠度及其灵敏度进行了概率分析和评价,结果表明：尽管在大震作用下该结构的层间弹塑性变形可靠度较高,但是构件极限承载能力的可靠度指标较低,仍然存在失效的可能性。因此,仅验算“小震”作用下结构的承载能力可靠度和“大震”作用下结构的变形能力可靠度是不够的,还需要验算在“中震”和“大震”作用下结构的极限承载能力可靠度。     

SMA自复位隔震桥梁基于位移的抗震设计方法

本文针对隔震桥梁结构的抗震设计方法展开研究。首先对隔震桥梁结构进行模型简化,得到可用于设计的精简模型,并通过合理的构造设计,得到可实用的SMA隔震层;经过推导得到简化模型的等效延性和刚度;在非线性反应谱的基础上,建立直接基于位移的抗震设计方法;最后通过数值模拟分析对设计方法进行验证,结果显示在设计地震作用下,桥梁的地震反应与预期的设计指标相差很小,说明该位移设计方法具有较好的可靠性。     

基于一致可靠度的地震动记录样本容量确定方法研究

确定地震动输入样本容量是开展结构动力地震反应分析的重要环节,目前国内外关于地震动输入样本容量的讨论往往忽略或尚难以定量考虑结构地震反应估计的可靠度水平。以一实际钢筋混凝土框架结构为例,首先分析在大样本地震动作用下结构非线性地震反应的统计特征,研究估计结构地震反应时取样本最大值和平均值的差异,然后借助于假设检验分析结构地震反应的概率分布模型,给出基于一致可靠度的地震动样本容量确定方法,并对比分析单周期点、多周期点、谱值匹配调整地震动及人工合成地震动对样本容量需求的影响,为保证在小样本地震动输入下结构地震反应估计值满足给定可靠度和容许误差提供分析方法和判断依据。本文方法适应于定量确定不同结构类型和不同地震强度水平下的地震动样本容量需求,对建筑结构抗震性能评估及设计规范研究有一定意义。     

钢筋混凝土框架结构体系抗震可靠度及其抗力衰减影响分析

结构体系可靠度分析面临的主要问题是失效模式多,但通过pushover分析方法在一定情况下可以得到结构的最弱失效模式。本文将结构体系抗力等效为与结构特定损伤状况相关的结构的顶点位移,结构的地震作用效应由pushover分析及能力谱法求得。考虑结构体系抗力随机性的主要影响因素以及地震作用的随机性,分别求得了结构抗力及地震作用效应的概率分布参数,通过一次二阶矩方法求得了结构体系可靠度,并进一步研究了结构层数变化及耐久性退化因素对结构体系可靠度的影响。研究发现,结构体系的抗震可靠度水平随着结构层数的增加有减小的趋势,结构体系的抗震可靠度水平随着结构使用期增加而降低,降低幅度与薄弱层个数有关,薄弱层越多,降低幅度越大。     

基于能力谱的概率-非概率结构体系抗震可靠度

本文用概率模型考虑结构体系抗力不确定性的主要影响因素,用凸集模型考虑地震作用的不确定性,采用能力谱方法,分别求得了结构抗力的概率分布参数及地震作用效应的区间范围,通过二级功能方程方法求得了结构体系抗震可靠度。算例给出了本文方法的计算结果,并与经典概率可靠度进行了对比,表明本文方法是一种简便、合理的结构体系抗震可靠性分析方法。     

桥梁结构在地震和冰荷载作用下的响应

本文采用杆系有限元方法,研究了桥墩结构在地震和冰荷载作用下的响应问题。根据桥梁的结构特点,建立其力学模型,考虑柱墩受支座的约束作用,推导了桥墩结构的动力平衡方程,分别研究桥墩结构在地震和冰荷载作用下以及在其共同作用下的响应问题,比较了考虑柱墩受支座的约束作用与不考虑柱墩受支座的约束作用2种情况下桥墩结构的响应问题,为研究桥墩结构在多荷载作用下的响应问题提供理论依据。     

Seismic response of continuous span bridges through fiber-based finite element analysis

1 Introduction Older design codes based on equivalent elastic force approaches proved to be ineffective in preventing damage caused by destructive earthquakes. After recent major earthquakes (e.g. Northridge 1994, Kobe 1995, and Kocaeli 1999 etc.), the necessity for using more accurate methods, which explicitly account for geometrical nonlinearities and material inelasticity, to evaluate seismic demand on structures, became evident. Within this framework, two analysis tools are currently offe…     

Seismic fragility assessment of highway bridges using support vector machines

Seismic fragility curves provide a powerful tool to assess the reliability of structures. However, conventional fragility analysis of structures comprising a large number of components requires enormous computational efforts. In this paper, the application of probabilistic support vector machines (PSVM) for the system fragility analysis of existing structures is proposed. It is demonstrated that support vector machine based fragility curves provide accurate predictions compared to rigorous methodologies such as component based fragilities developed by Monte Carlo simulations. The proposed method is applied to an existing bridge structure in order to develop fragility curves for serviceability and collapse limit states. In addition, the efficiency of using the PSVM method in the application of vector-valued ground motion intensity measures (IM) as well as traditional single-valued IM are investigated. The results obtained from an incremental dynamic analysis of the structure are used to train PSVMs. The application of PSVM in binary and multi-class classifications is used for the fragility analysis and reliability assessment of the bridge structure.     

Hybrid control of seismic-excited bridge structures

Recently, several hybrid protective systems have been explored for applications to seismic-excited bridge structures. In particular, two types of aseismic hybrid protective systems have been shown to be quite effective: (i) rubber bearings and variable dampers (or actuators), and (ii) sliding bearings and actuators. In this paper, control methods are presented for these hybrid protective systems. The control methods are based on the theory of variable structure system (VSS) or sliding mode control (SMC). Emphasis is placed on the static (direct) output feedback controllers using only the information measured from a few sensors without an observer. Simulation results demonstrate that the control methods presented are robust with respect to system parametric uncertainties and the performance is quite remarkable. Sensitivity studies are conducted to evaluate the effectiveness of hybrid protective systems and passive sliding isolators for reducing the response of seismic-excited bridge structures. The advantages of each protective system are demonstrated by simulation results for a wide range of earthquake intensities.     

用广义协调元分析复合式多层无孔和开孔矩形薄板的振动

复合式多层无孔和开孔矩形薄板是桥梁结构和建筑等结构中的最重要的组成部分。当研究它们的振动问题时,用解析法求解自振频率十分困难,而采用通用的有限元法求解自由度数目多,收敛也比较慢。本文利用三角形薄板广义协调元分析了复合式多层四边简支、四边固定无孔和开孔矩形薄板的自由振动,求出了前几阶频率系数,其结果与用ANSYS软件算出的结果基本接近,当为单层无孔和开孔板时,与文献[8]的结果完全相同,且与文献[10]的解析解吻合较好,证明了本文理论推导及程序编制的正确性,表明广义协调元与有限元相比具有自由度少、精度高、程序简便以及收敛快等优点。     

Seismic response analysis of road vehicle-bridge system for continuous rigid frame bridges with high piers

The objective of this study is to investigate the effects of earthquakes on road vehicle-bridge coupling vibration systems. A two-axle highway freight vehicle is treated as a 13 degree-of-freedom system composed of several rigid bodies, which are connected by a series of springs and dampers. The framework of the earthquake-vehicle-bridge dynamic analysis system is then established using an earthquake as the external excitation. The equivalent lateral contact force serves as the judgment criteria for sideslip accidents according to reliability theory. The entire process of the vehicle crossing the bridge is considered for a very high pier continuous rigid frame bridge. The response characteristics of the vehicle and the bridge are discussed in terms of various parameters such as earthquake ground motion, PGA value of the earthquake, incident angle, pier height, vehicle speed and mass. It is found that seismic excitation is the most influential factor in the responses of the vehicle-bridge system and that the safety of vehicles crossing the bridge is seriously impacted by the dual excitations of earthquake and bridge vibration.     

Life‐cycle reliability of RC bridge piers under seismic and airborne chloride hazards

Over the last two decades, the probabilistic assessment of reinforced concrete (RC) structures under seismic hazard has been developed rapidly. However, little attention has been devoted to the assessment of the seismic reliability of corroded structures. For the life‐cycle assessment of RC structures in a marine environment and earthquake‐prone regions, the effect of corrosion due to airborne chlorides on the seismic capacity needs to be taken into consideration. Also, the effect of the type of corrosive environment on the seismic capacity of RC structures has to be quantified. In this paper, the evaluation of the displacement ductility capacity based on the buckling model of longitudinal rebars in corroded RC bridge piers is established, and a novel computational procedure to integrate the probabilistic hazard associated with airborne chlorides into life‐cycle seismic reliability assessment of these piers is proposed. The seismic demand depends on the results of seismic hazard assessment, whereas the deterioration of seismic capacity depends on the hazard associated with airborne chlorides. In an illustrative example, an RC bridge pier was modeled as single degree of freedom (SDOF). The longitudinal rebars buckling of this pier was considered as the sole limit state when estimating its failure probability. The findings show that the life‐cycle reliability of RC bridge piers depends on both the seismic and airborne chloride hazards, and that the cumulative‐time failure probabilities of RC bridge piers located in seismic zones can be dramatically affected by the effect of airborne chlorides. Copyright © 2011 John Wiley & Sons, Ltd.     

大跨度桥梁结构多级地震响应研究

大跨度桥梁结构在地震发生时其支承点受到的地震动激励均不相同,使得在多级地震中其桥梁结构对于地震的响应程度也不同。通过分析多级地震作用下,水中结构的运动引起桥梁墩部周围水体辐射波浪运动对桥梁结构的影响,分析大跨度桥梁墩-水耦合边界。基于反应谱理论,计算大跨度桥梁结构承受的地震力最大值,得出多级地震响应曲线,以分析其多级地震响应;并以某地六跨桥为例,以多级地震下桥梁的位移、剪力、弯矩等响应时程为指标进行分析,得出有效结论。     

Statistical distribution of seismic performance criteria of retrofitted multi-column bridge bents using incremental dynamic analysis: a case study

Probabilistic performance assessment requires the development of probability distributions that can predict different performance levels of structures with reasonable accuracy. This study evaluates the performance of a non-seismically designed multi-column bridge bent retrofitted with four different alternatives, and based on their performance under an ensemble of earthquake records it proposes accurate prediction models and distribution fits for different performance criteria as a case study. Here, finite element methods have been implemented where each retrofitting technique has been modeled and numerically validated with the experimental results. Different statistical distributions are employed to represent the variation in the considered performance criteria for the retrofitted bridge bents. The Kolmogorov-Smirnov goodness-of-fit test was carried out to compare different distributions and find the suitable distribution for each performance criteria. An important conclusion drawn here is that the yield displacement of CFRP, steel, and ECC jacketed bridge bents are best described by a gamma distribution. The crushing displacement and crushing base shear of all four retrofitted bent follow a normal and Weibull distribution, respectively. A probabilistic model is developed to approximate the seismic performance of retrofitted bridge bents. These probabilistic models and response functions developed in this study allow for the performance prediction of retrofitted bridge bents.