Joint probability density function of the stochastic responses of nonlinear structures     

陈建兵  李杰 《地震工程与工程振动(英文版)》2007,6(1):35-47

The joint probability density fimction （PDF） of different structural responses is a very important topic in the stochastic response analysis of nonlinear structures. In this paper, the probability density evolution method, which is successfully developed to capture the instantaneous PDF of an arbitrary single response of interest, is extended to evaluate the joint PDF of any two responses. A two-dimensional partial differential equation in terms of the joint PDF is established. The strategy of selecting representative points via the number theoretical method and sieved by a hyper-ellipsoid is outlined. A two-dimensional difference scheme is developed. The free vibration of an SDOF system is examined to verify the proposed method, and a flame structure exhibiting hysteresis subjected to stochastic ground motion is investigated. It is pointed out that the correlation of different responses results from the fact that randomness of different responses comes from the same set of basic random parameters involved. In other words, the essence of the probabilistic correlation is a physical correlation.  相似文献   

Application of saddlepoint approximation in reliability analysis of dynamic systems     

阮家荣  王家  区兆驹 《地震工程与工程振动(英文版)》2007,6(4):391-400

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.  相似文献   

纳米塑料和二氧化钛食相暴露对凡纳滨对虾血细胞功能及抗氧化系统的影响     

朱效鹏  单恩翠  赵建民  王清 《海洋通报》2021,40(3):337-347

纳米塑料和纳米金属氧化物粒子在不同领域的使用量日益增多,这些纳米材料进入水生系统可能带来的相关环境风险引起了人们的关注.本文通过食相暴露,分析了100 nm纳米聚苯乙烯(PS)和纳米二氧化钛(TiO2)暴露对凡纳滨对虾(Litopenaeus vannamei)的血细胞功能和氧化还原平衡的干扰.实验组对虾分别投喂混有2...  相似文献   

新公式计算岩层真厚度的Excel算法     

徐少康 《化工矿产地质》2007,29(4):222-226

使用软件1,将岩层序号、导线的方位和倾角、岩层的倾向、倾角和两层面切割导线处的读数分别输入A、F、G、H、I、J、K列,先后分别沿M、N列从第2行单元格开始拖动鼠标,岩层真厚度数据和累积厚度即刻计算出来,进一步可计岩组或岩性段的真厚度;将导线的序号、方位、倾角、长度分别输入W、X、Y、Z列,先后分别沿AB、AC、AD、AE、AF、AG、AH列,从第2行单元格开始拖动鼠标,导线的水平投影长度、纵座标增量及其累积值、横座标增量及其累积值、高程增量及其累积值即刻计算出来。使用软件2,在输入原始数据的同时,结果便计算出来。  相似文献   

Application of probabilistic neural network to design breakwater armor blocks     

Dookie Kim  Dong Hyawn Kim  Seongkyu Chang 《Ocean Engineering》2008,35(3-4):294-300

This study presents a probabilistic neural network (PNN) technique for predicting the stability number of armor blocks of breakwaters. The PNN is prepared using the experimental data of Van der Meer. The predicted stability numbers of the PNN are compared with those of previous studies, i.e. by an empirical formula and a previous neural network model. The agreement index between the measured and predicted stability numbers by PNN are better than those by the previous studies. The PNN offers a way to interpret the network's structure in the form of a probability density function and it is easy to implement. Therefore, it can be an effective tool for designers of rubble mound breakwaters.  相似文献   

极限波浪运动特性的非线性数值模拟   总被引：1，自引：0，他引：1  

宁德志  滕斌  姜立明  臧军 《海洋学报》2008,30(3):126-132

利用时域高阶边界元方法建立了模拟极限波浪运动的完全非线性数值模型,其中自由水面满足完全非线性自由水面条件.采用半混合欧拉-拉格朗日方法追踪流体瞬时水面,运用四阶Runge-Kutta方法更新下一时间步的波面和速度势,同时应用镜像格林函数消除水槽两个侧面和底面上的积分.研究中利用波浪聚焦的方法产生极限波浪,并且在水槽中开展了物理模型实验,将测点试验数据与数值结果进行了对比,两者吻合得很好.对极限波浪运动的非线性和流域内速度分布进行了研究.  相似文献   

Statistical analysis and forecasts of long-term sandbank evolution at Great Yarmouth, UK   总被引：4，自引：1，他引：3  

Dominic E. Reeve  Jos M. Horrillo-Caraballo  Vanesa Magar 《Estuarine, Coastal and Shelf Science》2008,79(3):387-399

A data-driven model has been developed to analyse the long-term evolution of a sandbank system and to make ensemble predictions in a period of 8 years. The method uses a combination of empirical orthogonal function (EOF) analysis, (to define spatial and temporal patterns of variability), jack-knife resampling, (to generate an ensemble of EOFs), a causal auto-regression technique, (to extrapolate the temporal eigenfunctions), and straightforward statistical analysis of the resulting ensemble of predictions to determine a ‘forecast’ and associated uncertainty. The methodology has been applied to a very demanding site which includes a curved shoreline and a group of mobile nearshore sandbanks. The site is on the eastern coast of the UK and includes the Great Yarmouth sandbanks and neighbouring shoreline. A sequence of 33 high quality historical survey charts reaching back to 1848 have been used to analyse the patterns and to predict morphological evolution of the sandbank system. The forecasts demonstrate an improved skill relative to an assumption of persistence, but suffer in locations where there are propagating features in the morphology that are not well-described by EOFs.  相似文献   

Water level variations in the Neuse and Pamlico Estuaries,North Carolina due to local and remote forcing     

Robert E. Reed  David A. Dickey  JoAnn M. Burkholder  Carol A. Kinder  Cavell Brownie 《Estuarine, Coastal and Shelf Science》2008

Water level time series records from the Neuse and Pamlico River Estuaries were statistically compared to local and distant wind field data, water level records within the Pamlico Sound and also coastal ocean sites to determine the relative contribution of each time series to water levels in the Neuse and Pamlico Estuaries. The objectives of this study were to examine these time series data using various statistical methods (i.e. autoregressive, empirical orthogonal function analysis (EOF), exploratory data analysis (EDA)) to determine short- and long-time-scale variability, and to develop predictive statistical models that can be used to estimate past water level fluctuations in both the Neuse Estuary (NE) and Pamlico Estuary (PE). Short- and long-time-scale similarities were observed in all time series of estuarine, Pamlico Sound and subtidal coastal ocean water level and wind component data, due to events (nor'easters, fronts and tropical systems) and seasonality. Empirical orthogonal function analyses revealed a strong coastal ocean and wind field contribution to water level in the NE and PE. Approximately 95% of the variation was captured in the first two EOF components for water level data from the NE, sound and coastal ocean, and 70% for the PE, sound and coastal ocean. Spectral density plots revealed strong diurnal signals in both wind and water level data, and a strong cross correlation and coherency between the NE water level and the North/South wind component. There was good agreement between data and predictions using autoregressive statistical models for the NE (R² = 0.92) and PE (R² = 0.76). These methods also revealed significant autoregressive lags for the NE (days 1 and 3) and for the PE (days 1, 2 and 3). Significant departures from predictions are attributed to local meteorological and hydrological events. The autoregressive techniques showed significant predictive improvement over ordinary least squares methods. The results are considered within the context of providing long time-scale hindcast data for the two estuaries, and the importance of these data for multidisciplinary researchers and managers.  相似文献   

无限水深聚焦波完全非线性数值模拟   总被引：1，自引：1，他引：0  

宁德志  滕斌  刘珍  周斌珍 《海洋工程》2008,26(4)

基于势流理论提出一种新的高阶边界元方法对无限水深的聚焦波浪进行完全非线性数值模拟.自由水面满足完全非线性边界条件,模拟波浪的非线性效果可以达到更高阶.利用镜像原理,建立一种全新的格林函数应用到无限水深的数值波浪水槽中,以致于两无限深水槽侧壁的积分可以被排除.为了产生相应的入射波和吸收出流波浪,一个由点源组成的造波装置被布置于计算域内,同时人工阻尼层被用来吸引出流波浪,由波浪聚焦的方法得到极限波浪.通过开展线性和完全非线性聚焦波浪的数值实验及与理论解对比,验证本数值模型可以用来模拟无限深水域的极限波浪,且在出流边界没有反射.  相似文献   

Moritz解析延拓解与Bjerhammar虚拟球面解的等价性          下载免费PDF全文

程芦颖  许厚泽 《海洋测绘》2008,28(3):6-7

利用调和函数的性质以及球谐函数展开理论,并根据实数域上函数的幂级数展开式证明了Moritz解析延拓解与Bjerhammar虚拟球面解的等价性,同时分析了两种解的内在区别。  相似文献