关于瑞利耗散函数的讨论

本文旨在指出Ｈ．戈德斯坦所著《经典力学》中关于瑞利耗散函数方面的一个错误。进行了理论上的论证，给出了正确的答案。     

一种海滩地表水和地下水的全耦合数学模型

海滩地表水与地下水间的相互作用对于海岸带的物质循环及生态环境有重要的影响。基于控制体的思想推导出了统一形式的地表水和地下水的控制方程,在此基础上不仅实现了地表水和地下水的全耦合模拟,也简化了动边界的处理。对一些经典算例的模拟结果验证了该模型的有效性。     

线性最小二乘问题的正则化方法

本文讨论一类求解线性最小二乘问题的正则化方法的可行性。给出两条较为实用的可行性检验准则,推广了经典的Greville定理。     

Neural adaptive robust control of underactuated marine surface vehicles with input saturation

This paper proposes a saturated tracking controller for underactuated autonomous marine surface vehicles with limited torque. First, a second-order open-loop error dynamic model is developed in the actuated degrees of freedom to simplify the design procedure. Then, a saturated tracking controller is designed by utilizing generalized saturation functions to reduce the risk of actuator saturation. This, in turn, improves the transient performance of the control system. A multi-layer neural network and adaptive robust control techniques are also employed to preserve the controller robustness against unmodeled dynamics and environmental disturbances induced by waves and ocean currents. A Lyapunov stability analysis shows that all signals of the closed-loop system are bounded and tracking errors are semi-globally uniformly ultimately bounded. Finally, simulation results are provided for a hovercraft vehicle to illustrate the effectiveness of the proposed controller as a qualified candidate for real implementations in offshore applications.     

Analysis of kinematic parameters of Internal Solitary Waves in the Northern South China Sea

The monthly climatology of observed temperature and salinity from the U.S. Navy Generalized Digital Environment Model (GDEM-Version 3.0) is used to derive the geographical and seasonal distribution of kinematic parameters of nonlinear internal waves in the Northern South China Sea (NSCS). Coefficients of the Generalized Extended Korteweg-de Vries Equation (GEKdV) with a background current are investigated (phase speed, dispersion, quadratic and cubic nonlinearity parameters, normalizing factor). These parameters are used to evaluate the possible polarities, shapes of internal solitary waves, their limiting amplitudes and propagation speed. We show that the long wave phase speed and dispersion parameters mainly depend on topography characteristics and have no obvious seasonal variation. The nonlinear parameters and normalizing factor are sensitive to variations in the density stratification and topography. Background current also exerts the distinct effects on the kinematic parameters; especially the nonlinear parameter can change by an order of magnitude. The nonlinear parameters take on larger values in the summer (July), and linear internal waves are prone to become steeper and develop into large-amplitude internal solitary waves under such circumstances. This explains why nonlinear internal solitary waves occur more frequently in summer. From the kinematic viewpoint, the dispersion parameter takes on larger values in the Pacific Ocean (PO) due to deeper water depth when compared with that in the NSCS. The stronger dispersion effect in the PO hinders the formation of large amplitude internal solitary waves, explaining why nonlinear internal solitary waves are rarely found to the east of the Luzon Strait. Large near-bottom velocities dominate the shallow area and tend to increase in the warm season. The largest values are induced by internal solitary waves, indicating that internal waves are the major drivers of sediment re-suspension and erosion processes.     

不同地区温度变化对缺血性心脑血管疾病影响的比较研究

本文综合探究了日平均气温、24h变温和气温日较差变化对缺血性心脑血管疾病发病人数的影响,采用分布滞后非线性模型(DLNM)与广义相加模型(GAM),分别探析了2015—2016年安徽省阜南县和贵州省锦屏县日平均气温、24h变温和气温日较差与缺血性心脑血管住院病人数的暴露—反应关系。结果表明:气温日较差大于15℃缺血性心脑血管疾病相对风险剧烈升高,并呈现明显的即时效应,且其相对风险随滞后日增加和气温日较差增加达到叠加效应的峰值。当24h内气温下降7℃以上,缺血性心脑血管疾病相对风险开始明显上升,下降10℃以上呈现显著的即时效应。统计分析发现,两县在春季达到上述阈值概率最高,因此缺血性心脑血管疾病住院人数也在春季达到峰值,特别是雨水至清明节气时段为两县住院人数共同最高峰时段;值得注意的是,地处西部的锦屏县夏季缺血性心脑血管疾病发病人数也较多。此外,降温过程与节气转换也是导致两县缺血性心脑血管疾病住院人数阶段性增多的主要天气与气候因素。     

广义非线性动态最小二乘问题的一个直接解算方法

构建“数字地球”、“数字国家”等数字化科学工程的基础是数据[1 ] ,其数据具有多源、多维、多种类型、多种时态、多种精度并具有非线性特征等特点[2 ] ,首先要进行数据处理并应采用全新的广义非线性动态最小二乘法[3] [4] ,数据处理方法的核心是广义非线性动态最小二乘问题参数估计的函数模型及其解算方法 ,迄今国内外对这方面的研究尚不多。本文在作者前期研究、提出的广义非线性动态最小二乘函数模型参数估计迭代法求解[5] 的基础上 ,进一步研究、提出了一种广义非线性动态最小二乘模型参数估计的直接解算方法 ,将问题分离 ,把待求参数减半 ,直接求解。从而大大降低求解问题的维数 ,大大减少计算难度和计算工作量 ,这是国内外首次研究提出的一种比迭代法更快速、更有效、更科学的解算方法。为多源、多类、多时态数据处理开辟了一新途径 ,也大大扩大了广义非线性动态最小二乘法的应用面     

三种温湿参数下昆明准静止锋锋面位置及锋生函数诊断的对比分析

针对2008年1~2月昆明准静止锋天气过程,讨论了位温、相当位温和广义位温三个温湿参数及其对应的锋生函数,对比分析结果表明:（1）广义位温因其湿度因子权重过大,不适用于分析以温度梯度定义的昆明准静止锋锋面位置和强度;（2）理想状态下的干大气位温和饱和大气相当位温仅与气压和温度有关,均能较好地反映大气温度场特征,适用于昆明准静止锋的分析,比较而言相当位温对温度锋区的描述更为显著;（3）用位温或相当位温计算锋生函数所得结果直接表达了因温度场变化导致的锋面生消状况,而用广义位温计算锋生函数所得结果同时包含温度锋生（消）和湿度锋生（消）两种情况,不能简洁地判断昆明准静止锋锋面生消状况。     

Spatial-temporal rainfall modelling for flood risk estimation

Some recent developments in the stochastic modelling of single site and spatial rainfall are summarised. Alternative single site models based on Poisson cluster processes are introduced, fitting methods are discussed, and performance is compared for representative UK hourly data. The representation of sub-hourly rainfall is discussed, and results from a temporal disaggregation scheme are presented. Extension of the Poisson process methods to spatial-temporal rainfall, using radar data, is reported. Current methods assume spatial and temporal stationarity; work in progress seeks to relax these restrictions. Unlike radar data, long sequences of daily raingauge data are commonly available, and the use of generalized linear models (GLMs) (which can represent both temporal and spatial non-stationarity) to represent the spatial structure of daily rainfall based on raingauge data is illustrated for a network in the North of England. For flood simulation, disaggregation of daily rainfall is required. A relatively simple methodology is described, in which a single site Poisson process model provides hourly sequences, conditioned on the observed or GLM-simulated daily data. As a first step, complete spatial dependence is assumed. Results from the River Lee catchment, near London, are promising. A relatively comprehensive set of methodologies is thus provided for hydrological application.     

Genetic waveform modeling for the crustal structure in Northeast Japan

We propose a genetic algorithm (GA) search procedure for waveform modeling of local crustal earthquakes for optimal one-dimensional (1-D) crustal velocity model. Both waveforms and travel-time data are used for the structure determination. The use of travel times in model evaluation improves the waveform modeling performance in the sense of computation speed and accuracy. We applied this method to broadband waveforms of a local crustal earthquake (M 4.2) in Northeast Japan. P-wave velocities of the crustal model are found to be 4.95 ± 0.30, 5.9 ± 0.02, and 6.51 ± 0.20 km/s for a surface layer, upper crust and lower crust, respectively. The surface layer thickness and the Conrad and Moho depths are found to be 3.01 ± 0.8, 17.77 ± 0.4 and 34.59 ± 1.0 km, respectively. For epicentral distances <200 km, our synthetic waveforms match the observed ones generally well. Early arrivals are mainly observed at stations near the Pacific coast in the forearc area having a thinner crust. In contrast, delayed arrivals appear at stations near the volcanic front and back-arc areas where low-velocity anomalies exist due to the effect of the Pacific slab dehydration and the hot upwelling flows in the mantle wedge. In general, our results agree well with the main tectonic setting of the study area, which confirms the reliability of the proposed approach. Despite a 1-D velocity model is too simple to represent the complex crustal structure, it is still required for the conventional routine analysis of seismology, such as earthquake location and source parameter studies. The current approach is considered as a step toward the genetic full waveform modeling for the 3-D velocity model estimation.