地震危险性与核心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，分析方法及具体频骤，确定了要考虑的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。     

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。     

基于概率-非概率混合可靠性模型的结构地震易损性分析

在易损性分析中,存在对结构阈值的不确定性研究较少,对阈值的选择通常为规范中的数值,得到的破坏概率仅为固定数值等问题,文中同时考虑结构响应和阈值不确定性,建立一种基于概率-非概率混合模型的结构地震易损性分析方法。基于Opensees建立桥梁有限元模型,选择最大支座纵向位移、最大桥墩柱弯曲延性作为衡量结构性能的工程需求参数,并被视为符合二元对数正态分布的概率随机变量;以混凝土应变作为反映结构极限状态的指标,利用增量动力分析法,获得工程需求参数阈值的样本数据,利用灰度理论得到阈值的取值区间,并将阈值视为非概率凸集变量;建立基于概率-非概率混合模型的二维性能极限状态方程,利用混合模型的可靠性分析法求解破坏概率,建立易损性曲线。为对比计算结果,将阈值分别拟定为服从对数正态分布的随机变量和固定数值,并通过蒙特卡洛法求解破坏概率,研究表明:通过概率-非概率混合模型可有效得到破坏概率的区间估计,从而弥补了传统研究中只能得到固定数值破坏概率的问题;不考虑阈值的随机性会对分析结果产生较大影响。     

多层住宅砖房的地震易损性分析

本文采用概率方法借助于拉丁超立方采样技术和非线性地震反应过程分析对多层住宅砖房的地震易损性进行分析。其分析样本是根据多层住宅砖房目前常用设计参数值的范围选定参数的代表值，并由这些代表值构成的；分析中考虑了地震荷载、结构反应和结构承载力的不确定性。易损性曲线分别对五个不同结构破坏程度的极限状态给出。     

结构可靠性分析中各类不确定性的综合处理方法

本文在分析了文［１］推广的一次二阶矩方法的局限性后，利用高阶矩标准化方法进一步将该方法推广应用于含有离散变量及模糊不确定性的可靠性分析中，从而给出了一个结构可靠性分析中各类不确定性的综合处理方法。文中通过几个算例说明了该方法的实用性并初步分析了不确定性对可靠度分析结果的影响规律。最后，作为一个工程算例，对一个核电厂安全壳进行了地震可靠性分析。     

极限安全地震动下考虑土-结构相互作用的核电站安全壳响应分析

根据黏弹性人工边界的基本原理,结合有限元分析软件ABAQUS和MATLAB辅助程序,在地基有限区域上添加黏弹性人工边界并实现极限安全地震动的输入。基于ABAQUS软件平台,对CPR1000安全壳构建了土-结构相互作用体系的数值模拟模型,分析其在极限地震动下的动力响应,并将计算结果与考虑刚性基础的安全壳结构响应数据进行对比。结果表明:核电站CPR1000安全壳结构在极限安全地震动下仍能保持良好的密闭性。考虑土-结构相互作用后分析所得安全壳结构受到的应力、加速度峰值和相对位移均有所增大,使用刚性地基模型要偏于危险。     

考虑非结构构件损伤的钢筋混凝土框架建筑多维地震易损性分析

基于单一指标的传统地震易损性分析忽略了非结构构件损伤对建筑抗震性能的影响。首先基于多维性能极限状态理论建立了三维性能极限状态方程,并对几种特殊情况下的三维阈值曲面进行了讨论。进而以最大层间位移角作为整体结构与位移敏感型非结构构件的性能指标,以峰值楼面加速度作为加速度敏感型非结构构件的性能指标,对建筑的结构损伤和非结构损伤进行描述。考虑各性能指标之间的相关性和各性能指标所对应的极限状态阈值的不确定性,建立了建筑在地震作用下的三维性能极限状态的超越概率函数。最后,采用Open Sees有限元软件对一7层钢筋混凝土框架填充墙建筑进行增量动力分析,得到其各性能水平下的地震易损性曲线。分析结果表明,当忽略非结构构件损伤时,各性能极限状态的超越概率均降低,从而高估了建筑剩余功能水平,进而导致低估建筑的损失。在考虑各性能指标的极限状态阈值的不确定性时,对任一性能极限状态,不同变异系数取值下的易损性曲线会出现交点,在交点之前超越概率随着变异系数的增大而增大,交点之后则随着变异系数的增大而减小。在考虑性能指标间的相关性时,对任一性能极限状态,超越概率随着相关系数的减小而增大。另外,性能指标阈值的不确定性与性能指标间的相关性对地震易损性的影响随着性能水平的提高而逐渐降低,且对低性能水平下建筑地震易损性有明显影响。     

圆钢管混凝土截面延性系数

首先介绍了圆钢管混凝土中核心混凝土极限压应变的计算方法，通过参数分析，给出了核心混凝土极限压应变的限值。在此基础上，建立了截面极限曲率的计算公式，给出圆钢管混凝土截面延性系数的计算方法，并对有关影响因素进行分析，最后给出延性系数的建议值。研究进一步表明，圆钢管混凝土具有良好的抗震性能。     

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。     

钢筋混凝土框架结构造价与失效概率之间的近似关系研究

本文以层间位移角作为结构性能参数,分析了钢筋混凝土框架结构层间变形能力,以及在水平地震作用下层间位移反应。考虑钢筋混凝土框架结构材料强度和几何尺寸以及地震作用的不确定性,得出了在设计基准期内结构的失效概率。同时分析了不同设计参数下结构的最小造价,在此基础上,确定了结构最小造价和失效概率之间的近似关系。目的是为采用“投资—效益“准则确定该类型结构目标性能水平提供分析依据,从而为采用基于性能抗震设计理念制定建筑结构抗震设计规范提供基础研究。本文中,结构失效概率指结构最终极限状态的失效概率。     

Seismic failure probability of concrete slab on CFR dams with welded and friction contacts by response surface method

In this study, failure probability of the concrete slab on concrete-faced rockfill (CFR) dams with welded and friction contact is investigated under earthquake effects by reliability analysis. For this purpose, Torul CFR dam is selected as an example and numerical solutions are performed by considering combination of reliability analysis–finite element method. 1992 Erzincan earthquake acceleration record is used in the finite element analysis considering deconvolved-base rock input model. In this model, the ground motion to be applied to the foundation base rock is obtained by deconvolution of the free-field surface record. In the materially nonlinear analysis, Drucker–Prager model is used for concrete slab and multi-linear kinematic hardening model is utilized for rockfill. Geometrically nonlinearity is also taken into account. Viscous boundary conditions are defined in the finite element model for both foundation soil and reservoir water. The hydrodynamic pressure of the reservoir water is considered using 2D fluid finite elements based on the Lagrangian approach. Both welded contact and friction contact based on the Coulomb’s friction law are defined in the structural connections. Improved Rackwitz–Fiessler method is used with response surface method in the reliability analysis. The tensile and compression strengths of the concrete slab are utilized in the implicit limit state functions considering various thicknesses. The probability of failure of the most critical points in the concrete slab is obtained. According to this study, the probabilities of failure obtained from the CFR dam including friction contact are lower. When the welded contact is considered in joints, the probability of failure of the concrete slab is 1 due to tensile stress limit state and compression stress limit state only if concrete slab is linear. The most critical probability of failure of the concrete slab appears in the case that the concrete slab is linear and rockfill is materially nonlinear. The probability of failure of the concrete slab decreases if the nonlinearity of the concrete is considered. Also, hydrodynamic pressure decreases the reliability of the concrete slab.     

Response uncertainty and time-variant reliability analysis for hysteretic MDF structures

Response uncertainty evaluation and dynamic reliability analysis corresponding to classical stochastic dynamic analysis are usually restricted to the uncertainties of the excitation. The inclusion of the parameter uncertainties contained in structural properties and excitation characteristics has become an increasingly important problem in many areas of dynamics. In the present paper, a point estimate procedure is proposed for the evaluation of stochastic response uncertainty, and a response surface approach procedure in standard normal space is proposed for analysis of time-variant reliability analysis for hysteretic MDF structures having parameter uncertainties. Using the proposed procedures, the response uncertainties and time-variant reliability can be easily obtained by several repetitions of stochastic response analysis under given parameters without conducting sensitivity analysis, which is considered to be one of the primary difficulties associated with conventional methods. In the time-variant reliability analysis, the failure probability can be readily obtained by improving the accuracy of the first-order reliability method using the empirical second-order reliability index. The random variables are divided into two groups, those with CDF and those without CDF. The latter are included via the high-order moment standardization technique. A numerical example of a 15F hysteretic MDF structure that takes into account uncertainties of four structural parameters and three excitation characteristics is performed, based on which the proposed procedures are investigated and the effects of parameter uncertainties are discussed. Copyright © 1999 John Wiley & Sons, Ltd.     

近断层地震作用下RC框排架结构易损性研究

为研究近断层地震作用下框排架结构破坏的可能性,以某钢筋混凝土框排架结构为原型建立有限元非线性分析模型,选取16条近断层地震波及8条远场地震波,采用增量动力分析方法绘制易损性曲线。结果表明:对于远场地震,8度多遇地震及基本地震时,结构正常使用、基本使用、修复后使用、生命安全及防止倒塌五个极限状态均未超越,满足“小震不坏,中震可修”的抗震要求;8度罕遇地震时,仅超越正常使用极限状态的概率为2.08%,满足“大震不倒”的抗震要求。而近断层地震时,在8度多遇地震时结构前四个极限状态均被超越,基本地震时结构超过修复后使用的极限状态概率为16.62%,有2.40%的概率达到生命安全的极限状态,罕遇地震时接近倒塌的概率为15\^4%。研究结果可为近断层地区框排架结构地震风险评估提供参考。     

基于性能的基础隔震钢筋混凝土框剪结构的倒塌可靠度分析

利用基于性能的结构可靠度分析方法,对基础隔震钢筋混凝土框剪结构进行分析研究。选取20条实际地震动记录,以0.2g为步长对结构地震动参数PGA进行调幅后,建立了140个结构-地震动样本空间。选取上部结构的最大层间位移角、隔震层位移为量化指标,对每一个样本进行动力非线性时程分析后,将结构响应进行统计得到结构在各地震动强度下超越极限破坏状态的概率,将其绘制成基础隔震钢筋混凝土框剪结构的易损性曲线并利用整体可靠度方法分析结构发生倒塌的可靠度指标。该方法直观地反映了结构发生倒塌的概率,为结构的地震损失评估提供依据。     

Stochastic dynamic stiffness of a surface footing for offshore wind turbines: Implementing a subset simulation method to estimate rare events

The purpose of this study, which concerns the stochastic dynamic stiffness of foundations for large offshore wind turbines, is to quantify uncertainties related to the first natural frequency of a turbine supported by a surface footing and to estimate the low event probabilities. Herein, a simple model of a wind turbine structure with equivalent coupled springs at the base is calibrated with the mean soil property values. A semianalytical solution, based on the Green׳s function for a layered half-space is utilized for estimation of foundation responses. Soil elastic modulus and layer depth are considered as random variables with lognormal distributions. The uncertainties are quantified, and the estimation of rare events of the first natural frequency is discussed through an advanced reliability approach based on subset simulation. This analysis represents a first step in the estimation of the safety with respect to the failure of a turbine in the fatigue limit state.     

核电厂考虑结构参数不确定的 地震易损性分析

为考虑核电厂结构参数不确定对结构地震易损性的影响,基于一次二阶矩法(First-Order Second-Moment, FOSM)进行地震易损性分析。以核电结构中混凝土材料的密度、弹性模量,泊松比和抗拉强度为不确定参数,建立有限元模型,并与试验结果对比,以验证模型的准确性。基于有限元数值模拟方法,通过增量动力法计算核电厂模型在多条地震记录下不同峰值加速度的动力响应,同时基于FOSM得到参数不确定下的对数标准差,进而得到核电厂结构考虑参数不确定的地震易损性曲线。结果表明,结构参数的不确定对核电结构有一定的影响,未考虑参数不确定的地震易损性结果会低估结构的失效概率。该方法可为核电结构基于参数不确定下的易损性分析提供一定的理论依据与实用价值。     

Fatigue reliability analysis of deep water rigid marine risers associated with Morison-type wave loading

This work presents a simple and efficient framework for the fatigue reliability assessment of a vertical top-tensioned rigid riser. The fatigue damage response is considered as a narrow-band Gaussian stationary random process with a zero mean for the short-term behavior of a riser. Non-linearity in a response associated with Morison-type wave loading is accounted for by using a factor, which is the ratio of expected damage according to a non-linear probability distribution to the expected damage according to a linear method of analysis. Long-term non-stationary response is obtained by summing up a large number of short-term stationary responses. Uncertainties associated with both the strength and stress parts of the limit state function are quantified by a lognormal distribution. A closed form reliability analysis is carried out, which is based on the limit state function formulated in terms of Miner’s cumulative damage rule. The results thus obtained are compared with the well-documented lognormal format of reliability analysis based on time to fatigue failure. The validity of using the lognormal hazard rate function in predicting the fatigue life is discussed. A Monte Carlo simulation technique is also used as a reliability assessment method. A simple algorithm is used to reduce the uncertainty associated with direct sampling at small probability of failure values and a small number of simulations. Simulation results are compared with closed form solutions. A worked example is included to show the practical riser design problem based on reliability analysis.     

A performance‐based framework for adaptive seismic aftershock risk assessment

Operative seismic aftershock risk forecasting can be particularly useful for rapid decision‐making in the presence of an ongoing sequence. In such a context, limit state first‐excursion probabilities (risk) for the forecasting interval (a day) can represent the potential for progressive state of damage in a structure. This work lays out a performance‐based framework for adaptive aftershock risk assessment in the immediate post‐mainshock environment. A time‐dependent structural performance variable is adopted in order to measure the cumulative damage in a structure. A set of event‐dependent fragility curves as a function of the first‐mode spectral acceleration for a prescribed limit state is calculated by employing back‐to‐back nonlinear dynamic analyses. An epidemic‐type aftershock sequence model is employed for estimating the spatio‐temporal evolution of aftershocks. The event‐dependent fragility curves for a given limit state are then integrated together with the probability distribution of aftershock spectral acceleration based on the epidemic‐type aftershock sequence aftershock hazard. The daily probability of limit state first‐excursion is finally calculated as a weighted combination of the sequence of limit state probabilities conditioned on the number of aftershocks. As a numerical example, daily aftershock risk is calculated for the L'Aquila 2009 aftershock sequence (central Italy). A representative three‐story reinforced concrete frame with infill panels, which has cyclic strength and stiffness degradation, is used in order to evaluate the progressive damage. It is observed that the proposed framework leads to a sound forecasting of limit state first‐excursion in the structure for two limit states of significant damage and near collapse. Copyright © 2014 John Wiley & Sons, Ltd.     

Reliability-based design of R/C water tank structures under seismic action

Based on a reliability level 2 method, a procedure is proposed to design reinforced concrete structures for elevated tanks subjected to seismic action, with a specified probability of failure in a 50-year design life. To evaluate the probability of failure the ultimate limit state is obtained when the top column displacement demanded by the earthquake, a random variable, reaches the allowable displacement, which is here treated as deterministic. The seismic action is characterized probabilistically by the power spectral density function of the ground acceleration, which is obtained from a design spectrum. The strength and ductility of an annular column section of confined reinforced concrete for cyclic loads are evaluated with design aids. Design charts are made for a given tank capacity and specified seismic zone that allow one to choose different combinations of strength, stiffness and ductility for the same tolerable probability of failure. A step by step method is suggested for the design of the annular column section, choosing finally the most convenient design. The advantage of this methodology is shown through a numerical example.