Application of saddlepoint approximation in reliability analysis of dynamic systems

The application of the saddlepoint approximation to reliability analysis of dynamic systems is investigated. The failure event in reliability problems is formulated as the exceedance of a single performance variable over a prescribed threshold level. The saddlepoint approximation technique provides a choice to estimate the cumulative distribution function (CDF) of the performance variable. The failure probability is obtained as the value of the complement CDF at a specif ied threshold. The method requires computing the saddlepoint from a simple algebraic equation that depends on the cumulant generating function (CGF) of the performance variable. A method for calculating the saddlepoint using random samples of the performance variable is presented. The applicable region of the saddlepoint approximation is discussed in detail. A 10-story shear building model with white noise excitation illustrates the accuracy and effi ciency of the proposed methodology.     

Site effect on vulnerability of high-rise shear wall buildings under near and far field earthquakes

Worldwide experience repeatedly shows that damages in structures caused by earthquakes are highly dependent on site condition and epicentral distance. In this paper, a 21-storey shear wall-structure built in the 1960s in Hong Kong is selected as an example to investigate these two effects. Under various design earthquake intensities and for various site conditions, the fragility curves or damage probability matrix of such building is quantified in terms of the ductility factor, which is estimated from the ratio of storey yield shear to the inter-storey seismic shear. For high-rise buildings, a higher probability of damage is obtained for a softer site condition, and damage is more severe for far field earthquakes than for near field earthquakes. For earthquake intensity of VIII, the probability of complete collapse (P) increases from 1 to 24% for near field earthquakes and from 1 to 41% for far field earthquakes if the building is moved form a rock site to a site consisting a 80 m thick soft clay. For intensity IX, P increases from 6 to 69% for near field earthquake and from 14 to 79% for far field earthquake if the building is again moved form rock site to soft soil site. Therefore, site effect is very important and not to be neglected. Similar site and epicentral effects should also be expected for other types of high-rise structures.     

Traffic Assignment Forecast Model Research in ITS

As an important role in the development of ITS, traffic assignment forecast is always the research focus. Based on the analysis of classic traffic assignment forecast models, an improved traffic assignment forecast model, multi-ways probability and capacity constraint (MPCC) is presented. Using the new traffic as- signment forecast model to forecast the traffic volume will improve the rationality and veracity of traffic as- signment forecast.     

风浪周期分布与谱宽度的关系

本文通过分析实验室风浪周期分布,发现风浪周期累积概率分布曲线低于Longuet-Higgins理论结果,在小概率周期区域实验结果与理论结果的差异明显。对实验结果进一步分析发现,在谱不是很窄时,在小概率处风浪周期累积概率随谱宽度的增大而降低,这与窄谱假定下的理论结果相反,Longuet-Higgins理论结果在小概率处不便于描述周期分布随谱宽度的变化。根据实验结果提出风浪周期的Weibull分布经验公式,Weibull分布中的参数依赖于谱宽度。     

基于偏正态概率分布的粒度分布次总体分离及其沉积环境指示意义

沉积物颗粒是某种沉积环境和水动力条件下多个沉积过程的最终产物。粒度分布是原始沉积信息的载体,是来自不同沉积过程的多个次总体的叠加,频率曲线可能表现为双峰或者多峰特征。传统的沉积学粒度分析方法并未深入研究次总体;常见的概率分布模型在分离次总体后无法全面计算统计参数。本文以214份鄱阳湖现代沉积物的粒度分布数据为例,利用偏正态概率分布模型共分离提取977个次总体,计算各个次总体的统计参数,并对比分析了不同沉积环境中次总体参数的异同。结果表明：① 次总体均值、方差、偏度、峰度、所占百分比和最大频率等参数规律明显;② 从曲流河河道到河流末端、在河流末端顺流方向上和河道左右两侧远离河道方向上,粒度分布中主要次总体粒度均值逐渐减小,河道间洼地和湖区沉积物粒度分布的各个次总体占比接近;③ 江心洲的河道砂和河漫滩细粒粒度分布分别由3种和5种不同类型次总体组成。该方法可为沉积环境的定量判断和沉积过程的定量研究提供参考。     

A Reliability Based Expert System for Assessment and Mitigation of Landslides Hazard Under Seismic Loading

Different models were developed for evaluating the probabilistic three-dimensional (3-D) stability analysis of earth slopes and embankments under earthquake loading using both the safety factor and the displacement criteria of slope failure.The probabilistic models evaluate the probability of failure under seismic loading considering the different sources of uncertainties involved in the problem. The models also take into consideration the spatial variabilities and correlations of soil properties. The developed models are incorporated in a computer program PTDDSSA.These analysis/design procedures are incorporated within a code named SARETL developed in this study for stability analysis and remediation of earthquake triggered landslides. In addition to the dynamic inertia forces, the system takes into consideration local site effects.The code is capable of assessing the landslide hazard affecting major transportation routes in the event of earthquakes and preparing earthquake induced landslide hazard maps (i.e., maps showing expected displacements and probability of slope/embankments failure) for different earthquake magnitudes and environmental conditions. It can also beused for proposing a mitigation strategy against landslides.     

三维地闪监测数据分析与校验

选取福建省2015年三维系统地闪资料,采用同期雷电定位系统(ADTD)资料对其时空分布特征进行分析,利用雷电流峰值记录仪数据对2套系统地闪探测效率和定位误差校验,同时结合IEEE工作组和电力行业推荐的概率公式对三维系统地闪雷电流分布特征进行分析。结果表明:(1)2套系统监测到全省地闪密度空间分布趋势比较一致,在三明西南部地区及福州西部零星地区,三维系统地闪密度更低。(2)2套系统地闪频次年变化和日变化均呈单峰变化特征,但年变化中的10—12月,以及日变化中的09:00—12:00,三维系统监测到地闪频次更少。(3)三维系统地闪回击探测效率为40%,平均定位误差为2.75km。(4)在0~50kA区间,相比于负极性地闪,三维系统正极性地闪雷电流幅值分布更加集中,在26~84kA区间三维地闪雷电流幅值相比于IEEE推荐值和规程推荐值偏大。     

流域演化与泥石流的系统性——以云南东川蒋家沟为例

以典型的云南东川蒋家沟为例,根据Strahler面积-高程曲线的积分将其分区,揭示了流域的演化差异.证明了泥石流发生在特定的演化区域,并具有特定的物质组成.通过概率模型,定性说明了泥石流在流域的形成和扩张,其结果就表现为间歇性的阵流.阵流的时空特征反过来证明了泥石流的系统性.统计还表明,阵流的流量分布和衰减取决于最大流量;最大流量序列很好继承了作为流域系统行为的动力学特征.最后,可以根据单沟泥石流的过程系统考察区域泥石流活动.泥石流在大尺度水系的分布,从概率过程看,完全等同于泥石流源地小分支在单个流域的分布,而且满足相似的分布特征.     

淮河流域汛期20 d内最大日降水量概率分布

利用淮河流域158个站点1980—2007年夏季降水量资料,选取淮河上游、淮河中上游、淮河中下游、洪泽湖以下和沂沭河5个子流域,采用Γ分布函数分析了淮河流域首雨日 (前1日无雨) 和连续雨日 (前1日有雨) 的夏季多年降水的概率分布特点。通过对代表站息县、阜阳、商丘、淮安、连云港Γ分布概率密度与样本频率的对比分析和K-S检验表明:Γ分布函数能较好拟合分条件的淮河流域夏季雨日的概率分布,用该分布函数递推得到的1 d, 10 d, 20 d内最大日降水量概率分布比较规则合理。淮河流域5个子流域中淮河上游、淮河中下游、沂沭河流域在10 d,20 d内最大日降水量不低于10 mm,25 mm,50 mm的可能性更大。