Joint probability density function of the stochastic responses of nonlinear structures

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.     

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.     

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

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...     

极限波浪运动特性的非线性数值模拟

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.     

Statistical analysis and forecasts of long-term sandbank evolution at Great Yarmouth, UK

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.     

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

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.     

Moritz解析延拓解与Bjerhammar虚拟球面解的等价性

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。     

一类带有负顾客且具有反馈的M/G/1可修排队系统

研究了一类带有负顾客且具有反馈的M/G/1可修排队系统,正顾客服务完会以一定的概率立即排到队尾等待下一次服务,而以一定的补概率离开系统,永不再来。服务规则是先到先服务,负顾客抵消排队系统中的中间顾客（RCM）。使用“补充变量法”和状态转移方程分析该模型,得到了这一模型的排队指标和可靠性指标,并且发现此类排队系统完全取决于队长为2的概率。     

中国县域乡村地域多功能格局及影响因素识别

论文以中国大陆县域为研究单元,构建乡村地域多功能评价指标体系,利用熵权法、半变异函数和地理探测器等模型,对2000—2015年中国乡村多功能指数进行综合测评,揭示中国县域乡村地域多功能的空间分异特征,定量识别乡村地域多功能空间分异的影响因素。研究结果表明：① 中国乡村地域多功能在空间上呈现出平原、东部沿海等地区高值集聚,高原、山地等地区低值集聚,各县域乡村地域多功能整体呈现出逐渐提升态势;② 经济发展功能和社会保障功能对乡村地域多功能的贡献率逐渐增大,农业生产功能和生态保育功能对乡村地域多功能的贡献率逐渐减小;③ 2000—2015年,中国大陆范围内县域乡村地域多功能空间自相关范围和强度总体呈现减小的趋势,随机性因子成为乡村地域多功能空间分异的主要驱动力;④ 县域经济整体发展水平和财政收入是影响乡村地域多功能空间分异的主导因素;各影响因素之间的两两交互作用会增强乡村地域多功能的空间分异;社会环境因素对乡村地域多功能空间分异的影响程度逐渐上升,自然环境因素的影响程度逐渐下降。     

函数模型与随机模型双约束的GPS-InSAR数据融合方法建立三维形变场

针对InSAR技术研究地表三维形变时监测信息不足的问题,以GPS监测信息为先验信息,建立附有随机模型约束的地表三维形变模型。考虑到SAR卫星极轨方式运行导致LOS向观测量对南北向形变不敏感的问题,以GPS南北向形变观测值作为强约束,构建三维形变解算的函数约束条件。模拟数据与西安地区实测数据的计算结果表明,基于随机模型与函数模型共同约束的地表三维形变参数最小二乘解的精度优于仅有函数模型约束或仅有随机模型约束及无任何约束的参数解精度。