基于可靠度的结构损伤性能设计

本文基于现行抗震规范设计方法，运用荷载抗力分项系数法对结构损伤可靠度进行了研究。选择了恰当的地震动随机过程模型。合理地确定了模型参数。利用现有的钢筋混凝土构件的损伤模型。应用响应面法拟合目标函数，提出了钢筋混弹簧土结构损伤可靠度的分项系数标定方法，根据试验经验公式并结合截面应力应变分析。确定了钢筋混凝土截面恢复力模型参数，应用MonteCarlo方法对结构的可靠度进行计算。编制了钢筋混凝土结构的损伤可靠度计算程序，采用重要抽样法计算结构的可靠度，提高了计算效率，计算了现行抗震规范的结构损伤可靠度，确定了分项系数和目标失效概率的关系。为现行规范向性能设计规范的过度提供了可靠度基础。     

钢框架结构直接基于位移抗震性能设计的非迭代法

为使直接基于位移的抗震性能设计方法更加简便准确,本文采用一种直接基于位移的非迭代抗震设计方法对钢框架结构进行设计。该方法首先考虑结构的非弹性反应确定等效弹性反应谱和弹塑性反应谱,并建立了使用Newmark-Hall变形折减系数的能力谱的明确表达式。采用能力-需求图方法,确定了结构需要的目标位移与延性、谱位移和谱加速度之间关系的明确表示式,得到结构的刚度和设计基底剪力,进而确定构件截面,完成结构设计。对五层两跨平面钢框架结构进行了直接基于位移的抗震性能设计,设计过程简便,无需迭代程序,不需画出反应谱,通过时程分析验证了设计结果的精确性。本文研究表明:直接基于位移的非迭代抗震设计方法是一种简便、高效、精确的抗震性能设计方法。     

不同方法所求结构水平地震作用的比较

通过理论推导，分别给出了直接基于位移和直接基于位移可靠度两种抗震设计方法所求结构基底剪力与现行抗震规范所求结构基底剪力之比的数学表达式，分析了影响上述比值的主要因素及影响规律。     

直接基于位移可靠度的抗震设计方法中目标位移代表值的确定

针对20多个现役结构，以基于力的抗震设计方法所求基底剪力与直接基于位移的抗震设计方法所求基底剪力相等为原则，回归给出了直接基于位移的抗震设计中基底剪力的调整系数。在此基础上，通过进一步分析，提出了直接基于位移可靠度的抗震设计中层间目标位移代表值的确定方法。最后，总结给出了直接基于位移可靠度的抗震设计步骤。     

工程结构地震破坏概率矩阵分析

本文提出了一种计算工程结构地震坡坏概率矩阵的方法，建立了地震地面运动模型和结构分析模型，对结构进行了随机地震反应分析，并获得了结构随机分应的统计量，进而采用双参数的结构破坏模型，给出了教育处结构地震破坏概率的表达式，利用此方法计算了一座按8度要求设计的钢筋混凝土框架型，给出了计算结构地震坡坏概率的表达式，利用此方法计算了一座按8度要求的钢筋混凝土框架结构的地震破坏概率矩阵，本文提出了方法可以在确定抗震设防标准和进行震害预测时采用。     

结构抗震可靠度二种简化解析表达式的一致性证明

结构抗震可靠度分析的解析求解一直是结构可靠度领域和地震工程领域研究者们的追求目标.解析表达式不仅有利于简化结构抗震可靠度分析这个极端困难的工作,而且也有利于进行基于可靠度的结构概率抗震性能设计与评定.从全概率定理的两种不同表达式出发,介绍了国际上流行的两种结构抗震可靠度解析表达式,过去一直认为这是两种理论基础不同的表达式.本文通过对地震易损性函数关系的解析推导,揭示了若干重要关系,证明了两种表达式的一致性.     

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。     

钢筋混凝土框架结构基于性能和可靠度的抗震优化设计

基于可靠度理论的概率极限状态设计法是结构设计的基本法则之一,而新一代"基于性能的地震工程"要求在性能化设计中尚应考虑随机因素的影响。为获得满足预设性能水准和可靠度指标的最优方案,以钢筋混凝土框架结构为例,根据其在不同性能水准下的位移需求,采用非线性随机有限元方法求解结构的抗震可靠度,并将可靠度指标作为约束条件,以总造价为优化目标,提出了一种基于性能和可靠度的抗震优化设计方法。其中,可靠度计算以OpenSees为平台,并采用基于梯度分析的FORM有限元法。优化分析以MATLAB为平台,通过程序调用,实现了与可靠度分析之间的数据通讯。算例分析表明,模拟退火算法在本问题中较遗传算法具有更高全局搜索能力和计算精度。研究成果可为新一代基于性能和可靠度的优化设计提供参考。     

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。     

一种直接基于位移的抗震设计方法

与传统基于力的抗震设计方法相比,基于位移的抗震设计方法更适合实现基于性能抗震设计。本文在若干文献的基础上,提出了一种直接基于位移的抗震设计方法。该方法建立在结构屈服位移可由几何尺寸确定的基础上,根据不同水平地震作用下的目标设计位移,计算相应的延性系数,采用一定的Rμ-μ-Tn关系建立相应的非线性反应谱,以二折线模型模拟结构的性能曲线,然后根据结构不同的目标位移以及对应的非线性反应谱确定相应的有效周期,从中选择最小值作为设计结构的有效周期,根据有效周期计算结构的刚度,然后乘以屈服位移得到结构的屈服强度。根据结构屈服强度以及结构的超强系数,得到结构的设计基底剪力。该方法避免了设计中采用迭代计算,且一次设计就可以完成多水平设防的目的。     

地震危险性与核电厂密闭可靠性的评价方法

本文就考虑地震危险性时，核电厂安全壳的防泄露可靠性的评价方法进行了理论研究，探讨了地震模型问题中的参数确定的一些方面，给出了可靠性评价的总体思路、分析方法及具体步骤，确定了要考虑的不定参数及其描述，并进而利用概率断裂力学推导出可靠性计算的一般公式。     

A methodology for the probabilistic assessment of behaviour factors

Given the importance that traditional force-based seismic design still currently exhibits, studies addressing issues related to the definition of the behaviour factor values are considered to be of most interest. A probabilistic methodology is proposed for the calibration of the q-factor relating its value with two fundamental parameters, the displacement ductility capacity measured at a relevant location of the structure and the failure probability P _f . The general foundation of this procedure is based on the probabilistic quantification of the seismic action and, by applying a transformation procedure, of the structural seismic demand in terms of displacement ductility. By recalling well established structural reliability procedures and by making use of nonlinear analysis methods, both static and dynamic, a general probabilistic framework, which is able to relate the ductility capacity, the failure probability P _f and the behaviour factor, is defined. In order to illustrate some of the potentialities of the methodology, an application example is presented, addressing the q-factor assessment for a set of regular and irregular reinforced concrete frame structures, enforcing a given P _f and two different ductility levels.     

DUAL-LEVEL SEISMIC DESIGN: A RELIABILITY-BASED METHODOLOGY

The seismic design provisions of most building codes in the United States specify ground motion parameters for various regions of the country and provide simple formulae to determine a distribution of lateral forces for which the structure should be designed. Although the code provisions are very simple to use, they oversimplify a complex problem and are based on many implicit assumptions which many designers may not appreciate. Furthermore, the reliability of the final design is not easily determined. This paper describes a reliability-based seismic design procedure for building structures. It is a performance-based design procedure which requires the designer to verify that a particular structural design satisfies displacement-based performance criteria. An equivalent system methodology and uniform hazard spectra are used to evaluate structural performance. The performance criteria are expressed in probabilistic terms, and deterministic design-checking equations are derived from these criteria. The design-checking equations incorporate design factors (analogous to load and resistance factors) which account for the uncertainty in the seismic hazard, the uncertainty in predicting site soil effects, and the approximate nature of the simplified models of the structure. The alternative procedure should enable designers to achieve code-specified target performance objectives for moderate and severe levels of earthquake excitation.     

基于时变地震损伤模型的多龄期钢框架结构易损性分析

基于时变地震损伤模型提出酸性大气环境作用下多龄期钢框架结构概率地震易损性分析的方法及步骤;考虑服役龄期对钢框架结构抗震性能的影响,分别建立时变概率地震需求模型、时变概率抗震能力模型及时变易损性模型;在概率地震需求分析及概率抗震能力分析的基础上,得到多龄期(20年、30年、40年、50年)钢框架结构的易损性模型及易损性曲线。     

A recursive decomposition algorithm for network seismic reliability evaluation

A new probabilistic analytical approach to evaluate seismic system reliability of large lifeline systems is presented in this paper. The algorithm takes the shortest path from the source to the terminal of a node weight or edge weight network as decomposition policy, using the Boolean laws of set operation and probabilistic operation principal, a recursive decomposition process then could be constructed. For a general weight network, the modified Torrieri method (NTR/T method) is introduced to combine with the suggested algorithm. Therefore, the recursive decomposition algorithm may be applied to evaluate the seismic reliability of general lifeline systems. A series of case studies, including a practical district electric power network system and a large urban water supply system, show that the suggested algorithm supplies a useful probabilistic analysis means for the seismic reliability evaluation of large lifeline systems. Copyright © 2002 John Wiley & Sons, Ltd.     

Seismic reliability of V‐braced frames: Influence of design methodologies

According to the most modern trend, performance‐based seismic design is aimed at the evaluation of the seismic structural reliability defined as the mean annual frequency (MAF) of exceeding a threshold level of damage, i.e. a limit state. The methodology for the evaluation of the MAF of exceeding a limit state is herein applied with reference to concentrically ‘V’‐braced steel frames designed according to different criteria. In particular, two design approaches are examined. The first approach corresponds to the provisions suggested by Eurocode 8 (prEN 1998—Eurocode 8: design of structures for earthquake resistance. Part 1: general rules, seismic actions and rules for buildings), while the second approach is based on a rigorous application of capacity design criteria aiming at the control of the failure mode (J. Earthquake Eng. 2008; 12 :1246–1266; J. Earthquake Eng. 2008; 12 :728–759). The aim of the presented work is to focus on the seismic reliability obtained through these design methodologies. The probabilistic performance evaluation is based on an appropriate combination of probabilistic seismic hazard analysis, probabilistic seismic demand analysis (PSDA) and probabilistic seismic capacity analysis. Regarding PSDA, nonlinear dynamic analyses have been carried out in order to obtain the parameters describing the probability distribution laws of demand, conditioned to given values of the earthquake intensity measure. Copyright © 2009 John Wiley & Sons, Ltd.     

Deterministic and probabilistic floor response spectra

The paper presents a comparative study for computing floor response spectra (FRS) for complex structures. For the purpose of validation and evaluation of the methods for practical application, a systematic comparison of two concepts, classical deterministic and probabilistic, was carried out as an example of a nuclear power plants structure. The deterministic method utilizes time history analyses compatible with the prescribed design response spectrum. The probabilistic method uses an analysis of random vibrations for defining the probabilistic FRS influenced by random seismic soil movement. The seismic input is a power spectral density function (PSDF) compatible with the design response spectrum. The probabilistic approach based on PSDF provides satisfying FRS with far less effort and time consumption needed for calculation.     

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.