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.     

A new spatial coherence model and analytical coefficients for multi-support response spectrum combination

In this paper, a new spatial coherence model of seismic ground motions is proposed by a fi tting procedure. The analytical expressions of modal combination (correlation) coeffi cients of structural response are developed for multi-support seismic excitations. The coeffi cients from both the numerical integration and analytical solutions are compared to verify the accuracy of the solutions. It is shown that the analytical expressions of numerical modal combination coeffi cients are of high accuracy. The results of random responses of an example bridge show that the analytical modal combination coeff icients developed in this paper are accurate enough to meet the requirements needed in practice. In addition, the computational effi ciency of the analytical solutions of the modal combination coeff icients is demonstrated by the response computation of the example bridge. It is found that the time required for the structural response analysis by using the analytical modal combination coeffi cients is less than 1/20 of that using numerical integral methods.     

基于Hv方法的三轴液压振动系统频响函数估计的研究

三轴液压振动系统是实验室内模拟振动环境的主要设备,其主要功能是精确地复现给定的功率谱和时间历程。振动控制技术是实现这一目标的关键技术,它以频响函数估计为基础。频响函数估计的精度影响控制过程的快速性和稳定性。本文对几种典型的频响函数估计方法进行了分析,针对传统方法精度低且受到矩阵病态条件约束等缺点,应用特征分析与摄动理论构造了一种多入多出的Hv方法,并且应用三轴液压振动系统的实测数据对其进行了检验。结果表明该方法是适用的。     

岩浆密度及其重要意义

本文通过计算不同构造环境的原生玄武岩岩浆密度,首次提出了两种原生玄武岩浆密度类型:岛弧玄武岩浆(AB)密度类型(Ⅰ);WB MORB岩浆密度类型(Ⅱ)。指出Ⅰ型岩浆密度受控于岩浆起源的fO2和fH2O条件;Ⅱ型岩浆密度则与岩浆起源压力有关。原生岩浆密度可作为判定岩浆产出的地球动力学背景的重要标志之一。考察岩浆密度与压力的关系,指出原生玄武岩浆密度在一定程度上控制了岩浆房的发育部位(深度),制约了岩浆结晶的温压条件,并对岩浆侵位与喷发产生重要影响。在岛弧地区,岩浆密度与地壳厚度变化严格地控制着岛弧岩石系列(Tb-CA-Sh)的时空演变,决定了岩浆的演化途径和结晶条件。利用岩浆密度资料,反演并建立了义敦岛弧区的地壳双层结构模式。     

河岸带蜿蜒性与植被密度对潜流驻留时间的复合效应

潜流驻留时间是反映潜流交换、溶质迁移转化、生物组成、生态过程的重要特征变量。应用双循环可控式河岸带模型，以NaCl为示踪剂，深入研究了河岸带蜿蜒性与植被密度对潜流驻留时间的复合效应；应用量纲分析和主成分分析法，探析了潜流驻留时间的关键影响因子及其作用程度和敏感性。结果表明：①河岸带植被密度对潜流驻留时间具有促进作用，但存在一定的阈值。②潜流驻留时间分布与河岸蜿蜒形态呈类镜像效应；潜流驻留时间在河岸带蜿蜒波不同位置差异明显，迎水面平均驻留时间约为背水面的1/2。③河岸带蜿蜒性与植被密度是影响潜流驻留时间的关键因子，总作用程度达91.07%。潜流驻留时间对蜿蜒性最敏感，对植被密度敏感性较弱，对复合因子的敏感性介于两者之间；迎水面内组合因子对潜流驻留时间具有共同促进效应，背水面内组合因子对潜流驻留时间具有抑制和促进双重效应。     

Estimating the crush zone size under a cutting tool in coal

Summary As part of an effort to understand the mechanics of fine fragment formation in coal, which is important in studies of respirable dust due to mining, fracture toughness measurements and the strain energy density (SED) theory were applied to calculate the crush zone size under a cutting tool in coal. This zone is the major source of fine fragments in the 1 to 10 µm size range. The model used in these calculations is a boundary element program containing a failure criterion based on the SED theory. The boundary element program calculates linear elastic stresses at numerous points in the coal material ahead of a cutting bit. These stresses are then input to a subroutine called critical flaw length and orientation (CFLO) which uses the SED theory to determine the CFLO for a small crack at the boundary element stress computation point. The extent of crushing is based on earlier postulates about the role of inherent flaws in a fragmentation process. To form 1 to 10 µm fragments requires firstly a local stress strong enough to activate flaws with a characteristic length less than 1 to 10 µm and secondly, a flaw density sufficient to provide an average spacing between flaws also on the order of 1 to 10 µm. The locus of active 10 µm flaws represents the maximum possible extent of fine fragmentation in the 10 µm or less size range assuming that a sufficient inherent flaw density exists. The approach offers a first order approximation to the extent of crushing under a tool tip. The size and shape of the crush zone volume is affected by the attack angle and geometry of the tool.     

The Fourier Integral Method: An efficient spectral method for simulation of random fields

The Fourier Integral Method (FIM) of spectral simulation, adapted to generate realizations of a random function in one, two, or three dimensions, is shown to be an efficient technique of non-conditional geostatistical simulation. The main contribution is the use of the fast Fourier transform for both numerical calculus of the density spectral function and as generator of random finite multidimensional sequences with imposed covariance. Results obtained with the FIM are compared with those obtained by other classic methods: Shinozuka and Jan Method in 1D and Turning Bands Method in 2D and 3D, the points for and against different methodologies are discussed. Moreover, with the FIM the simulation of nested structures, one of which can be a nugget effect and the simulation of both zonal and geometric anisotropy is straightforward. All steps taken to implement the FIM methodology are discussed.     

中国水质站网规划中几个问题的探讨

在完成中国水质站网规划工作的基础上,对下列问题作了进一步探讨:(1)水质站网规划单元的划分;(2)聚类分析在水质站网规划中的应用;(3)站网密度与人口和经济发展的关系;(4)中国水质站网的分区特征。