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.     

Point-block covariance: A general solution for the two-dimensional stationary random functions

The application of the theory of random functions to problems of ore evaluation may involve computations of the covariance between the mean value of a given block and the functional value at a given point. However, an analytical solution for such a covariance does not exist for nonspherical blocks and for commonly applied models of covariance functions. Further, because this covariance is a function of the spatial arrangements of the block and the point, it has to be evaluated numerically each time for given point—block arrangements. This paper presents a readily available general solution to this problem in the form of a series of graduated curves which, together with some geometric manipulations, may be used to compute the covariance between a pointand a two-dimensional block for all possible point—block arrangements. The availability of the graph thus eliminates the necessity of using the time-absorbing programs on computers for such computations. Finally, many of the approximations that are made in order to avoid cumbersome covariance evaluations are no longer necessary due to the ease of such computations with the help of the graph provided.     

基于Matlab的断裂带温泉水地球化学特征及地震活动性研究

基于Matlab开发出地下流体分析软件,对比分析了甘肃西秦岭北缘的武山、街子和清水温泉水化学组分特征;初步分析了温泉水水质类型、补给来源、水-岩平衡状态以及循环深度,并讨论了温泉水深循环对地震活动性的影响.研究表明温泉水均为大气降水成因,其水化特征受围岩的控制作用;清水温泉水的成熟度没有武山和街子温泉水高.地下水循环深度较浅的武山温泉和街子温泉水化类型属于Na-HCO3·SO4·Cl,所处断裂的地震活动频繁;地下水循环深度较深的清水温泉水化类型属于Na-SO4·Cl,所处断裂的地震活动性弱.     

甘肃“5·5"黑风暴小波分析

用小波变换理论对１９９３年春季甘肃省河西走廊地区一场特大黑风暴进行了分析。结果表明，小波分析能比较客观地将时间序列中不同时间尺度的振动分离开，使我们能清楚地看到黑风暴中的中尺度扰动。     

非均质地基中平面应变隧道开挖面稳定上限分析

非均质是软黏土地基中比较普遍的现象,而目前隧道开挖面稳定研究中比较成熟的理论主要是针对均质土体。因此,从塑性极限分析上限法的基本原理出发,采用平面应变隧道刚体平动破坏模式(多块体上限法),考虑软黏土地基的非均质性,推导了平面应变隧道极限支护压力关于隧道埋深、土体重度及土体强度的上限公式。通过与其他方法的比较分析,证明了极限分析方法在隧道开挖面稳定性方面的可行性;利用该方法的计算结果详细探讨了隧道开挖面稳定的影响因素;而且由计算结果可知,地基土的非均质性在影响隧道开挖面极限支护压力的同时,也影响着隧道开挖破坏面的位置和形状,为工程实践提供重要的理论依据。     

泌阳断陷下第三系核三上段高频层序中米兰柯维奇天文旋回信息

古气候是影响陆相层序发育的一个重要因素,其周期性变化是源于天文旋回的驱动力（即米兰柯维奇假说）。米兰柯维奇天文旋回包括偏心率旋回、倾斜率旋回和岁差旋回,这几个轨道参数所驱动的古气候变迁,分别形成了周期为１０万年（或４０万年）、４万年及２万年的高频层序,即小层序组、小层序及小层单元,研究结果表明,泌阳断陷湖盆的高频层序是由地球轨道旋回所驱动的古气候周期性变迁所形成的。     

基于地质记录用时域组合模型预测气候变化趋势的初步研究

用时域分析组合模型建立了１００万年来６０°Ｎ６月份太阳辐射量时间序列、宝鸡黄土粒度时间序列、渭南夏季风指数时间序列的动态模型．研究结果表明,时域分析组合模型较好地提取了时间序列的信息,得到的几个显著周期Ｔ＝１３３,１００,８９,４１,２３,１９ｋａ,与地球轨道三要素的变化周期接近．用组合模型拟合实测数据,精度是高的;用其预测未来气候替代性指标时间序列的变化情况,发现未来气候有向干冷方向发展的趋势．时域分析组合模型为研究气候变化趋势提供了一种定量分析、预测的方法．     

MIXTURE ANGLYSIS USING FACTOR ANGLYSIS I: CALIBRATION AND QUANTITATION

One of the major application areas of factor analysis, multivariate calibration and quantitation, is coveredin this review. The algorithms, methodologies and applications covered include principal componentregression, target transformation factor analysis, singular value decomposition and rank annihilationfactor analysis. Many important areas of research having relevance to multivariate calibration andquantitation problems are also covered in this review, including background correction, measurementerror, rank determination, cross-validation, figures of merit, detection of invalid samples, experimentaldesign, sample selection, statistical inference and wavelength selection.     

袁河流域强降水的天气背景与回波特征分析

为了更好地监测预警江西袁河流域强降水天气,使用江西雨量资料、欧洲中心格点（1°×1°）再分析资料和江西雷达回波等资料,对袁河流域5次大暴雨过程进行分析,结果表明：（1）袁河流域强降水天气形势场是925～700 hPa切变线、低层辐合高层辐散中心、西南气流达到12～18 m·s-1等因素影响;T-LnP图上整层水汽充沛,可降水量在75 mm以上;降水前低层累积不稳定能量CAPE（1000 J/Kg）和对流抑制能CIN（100 J/Kg）。（2）强降水回波的组合反射率CR在50 dBz左右,回波顶高在13 km左右,垂直积分液态水含量在12 kg·m2左右;40 dBz回波顶高在6～7 km,45 dBz回波顶高在6.5 km以下。（3）强降水和回波强度dBZ成正相关,随降水的增强,回波明显增强;当回波强度≤20 dBz时,雨强几乎不变;当回波强度在20～35 dBz之间,雨强随回波强度增加而缓慢加大;当回波强度在35～50 dBz之间,雨强随回波强度加大明显增加;而当回波强度≥50 dBz时,雨强反而趋于下降或维持。研究结果对袁河流域强降水的监测预警和预报服务有指导意义。