选主元矩阵原位替换解算方法

矩阵行列式、矩阵方程未知数和矩阵逆阵元素,可采用矩阵原位替换解算方法,利用矩阵元素约化值进行解算,但矩阵元素约化值计算过程中要求矩阵主元约化值不能等于零,在没有确认矩阵是否满秩的情况下,其值等于零有可能由矩阵元素排列结构引起,也有可能由矩阵秩亏引起,如何判别矩阵主元约化值为零的成因,在排除矩阵秩亏的情况下,如何利用选主元矩阵原位替换解算方法继续完成相应矩阵解算,是本文研究的内容。该研究可使矩阵原位替换解算方法得到更加广泛的应用。     

Improvement of user’s accuracy through classification of principal component images and stacked temporal images

The classification accuracy of the various categories on the classified remotely sensed images are usually evaluated by two different measures of accuracy, namely, producer’s accuracy (PA) and user’s accuracy (UA). The PA of a category indicates to what extent the reference pixels of the category are correctly classified, whereas the UA of a category represents to what extent the other categories are less misclassified into the category in question. Therefore, the UA of the various categories determines the reliability of their interpretation on the classified image and is more important to the analyst than the PA. The present investigation has been performed in order to determine if there occurs improvement in the UA of the various categories on the classified image of the principal components of the original bands and on the classified image of the stacked image of two different years. We performed the analyses using the IRS LISS III images of two different years, i.e., 1996 and 2009, that represent the different magnitude of urbanization and the stacked image of these two years pertaining to Ranchi area, Jharkhand, India, with a view to assessing the impacts of urbanization on the UA of the different categories. The results of the investigation demonstrated that there occurs significant improvement in the UA of the impervious categories in the classified image of the stacked image, which is attributable to the aggregation of the spectral information from twice the number of bands from two different years. On the other hand, the classified image of the principal components did not show any improvement in the UA as compared to the original images.     

越南中部Kontum地块前寒武纪地壳组成和构造演化

越南中部的Kontum 地块是印支地块中前寒武纪变质岩最重要的出露地区之一。该地块由不同时代不同变质程度的岩石组成。该研究通过对该地区主要变质岩的岩石学、地球化学和锆石U-Pb 年代学分析,探讨了Kontum 地块的物质组成以及其形成的构造背景。岩相学和化学成分分析结果表明,这些基底变质岩主要由变质沉积岩和少量的变质火成岩组成。变质沉积岩的原岩主要是硬砂岩和页岩。锆石U-Pb 定年结果显示,这些沉积岩形成于古元古代晚期到新元古代晚期,并大致可以划分为五期沉积盆地的形成和演化,分别对应岛弧环境、被动大陆边缘环境、活动大陆边缘或大陆弧环境、活动大陆边缘-被动大陆边缘过渡环境和活动大陆边缘的构造背景。二个变质火成岩的原岩分别是拉斑玄武岩和S 型花岗岩,它们分别形成于1424 Ma 和1485 Ma。拉斑玄武岩显示富集Rb、Ba、Sr 等大离子亲石元素,亏损Nb、Ta、Zr、Ti 等高场强元素,符合典型岛弧玄武质岩石的地球化学特征。其锆石的εHf(t)值主要为正值（-1.68~+14.2）, 表明其岩浆起源于亏损的岩石圈地幔。地球化学特征表明其形成于岛弧环境,与第三期沉积沉积作用环境相符。S 型花岗岩具有较高的SiO2、ALK和A/CNK（>1.1）,以及中等的稀土含量和中等的Eu 负异常。其原岩岩浆锆石的εHf (t)值变化于+5.97~+12.1,表明源区沉积岩的碎屑主要来自新生地壳。对比显示Kontum 地块与海南岛在中元古代时期很可能曾经相连,在Columbia 超大陆裂解时期处于超大陆的边缘。     

Introduction to dynamics of stone arches

The dynamic analysis of stone arches, made up of rigid voussoir laid dray, can be performed in two phases. First of all the value of the horizontal acceleration necessary to turn the structure into a mechanism and the corresponding mechanism must be determined. Then the dynamic behaviour of such a mechanism under a given acceleration time history can be studied. The first step is a static matter. The second one requires the solution of the non-linear equation of motion of the one-degree-of-freedom system in which the arch is turned. In this paper an iteration procedure is proposed to find out the mechanism. Then the structural behaviour of the mechanism is analysed. Both free and forced vibrations are investigated and the study is limited to the first-half cycle of vibration. Damping is not considered and sliding between the blocks at the hinge sections is not allowed. © 1998 John Wiley & Sons, Ltd.     

基于主成分分析和因子分析的宁夏水资源承载力研究

为了探求宁夏水资源承载力状况,利用主成分分析法和因子分析法,在分析宁夏2004~2014年水资源承载力状况的基础上,对宁夏5市2013年水资源承载力分水资源支持力、社会经济技术水平和社会生活水平3个方面进行综合考虑,得到宁夏5市的水资源利用状况指数和分级标准。具体得到以下几个结论:(1)2004~2014年间,宁夏水资源承载力仅在2005~2006年有所波动,其余年份两种方法结果一致,11年间保持稳定上升;(2)对于宁夏5市2013年水资源承载力状况,主成分分析结果由大到小排序为吴忠市、银川市、石嘴山市、固原市和中卫市,因子分析结果由大到小排序为吴忠市、银川市、固原市、石嘴山市和中卫市;(3)建立宁夏5市水资源承载力状况分级阈值,主成分分析下吴忠市和银川市的水资源利用状况高,石嘴山市的水资源利用状况中等,固原市和中卫市的水资源利用状况低;因子分析下吴忠市和银川市的水资源利用状况高,其余3市水资源利用状况都较低。     

Assessing model of highway slope stability based on optimized SVM

Considering the geological hazards attributed to the highway slope, using a common simple model cannot accurately assess the stability of the slope. First, principal component analysis (PCA) was conducted to extract the principal components of six factors (namely, bulk density, cohesion, internal friction angle, slope angle, slope height, and pore water pressure ratio) affecting the slope stability. Second, four principal components were adopted as input variables of the support vector machine (SVM) model optimized by genetic algorithm (GA). The output variable was slope stability. Lastly, the assessing model of highway slope stability based on PCA-GA-SVM is established. The maximal absolute error of the model is 0.0921 and the maximal relative error is 9.21% by comparing the assessment value and the practical value of the test sample. The above studies are conducive to enrich the assessing model of highway slope stability and provide some reference for highway slope engineering treatment.     

幂函数剪切模量成层土非线性地震反应的半解析算法

运用文献[1]所建议的动态应力一应变关系及其推广的Masing加卸载准则,考虑土料在地震等产生的不规则加载条件下的非线性滞回特征,将增量法与相应场地地震线性反应解析解[2]相结合,提出了该动力非线性方程的半解析时域算法,基于改进的一维剪切梁模型,对剪切模量是其深度的某一幂函数的成层非均质土层,建立了求解土体地震反应的非线性分析技术。针对文献[2]中的土层剖面,做了计算、分析和讨论。     

非洲投资环境地域差异研究

本文在总结国内外投资环境研究方法的基础上,根据区域特殊性、综合性与可操作性等原则构建了由30项指标组成的指标体系,采用主成分分析的数据处理方法,对非洲各国投资环境进行了综合定量评价,将其分为优（I≥2）、良（1≤I〈2）、差（0．8≤I〈1）和极差（I〈0．8）四大类,以便为我国企业对非投资提供决策参考。     

SIMPLE PUSH-OVER ANALYSIS OF ASYMMETRIC BUILDINGS

A simple method for the non-linear static analysis of complex building structures subjected to monotonically increasing horizontal loading (push-over analysis) is presented. The method is designed to be a part of new methodologies for the seismic design and evaluation of structures. It is based on the extension of a pseudo-three-dimensional mathematical model of a building structure into the non-linear range. The structure consists of planar macroelements. For each planar macroelement, a simple bilinear or multilinear base shear–top displacement relationship is assumed. By a step-by-step analysis an approximate relationship between the global base shear and top displacement is computed. During the analysis the development of plastic hinges throughout the building can be monitored. The method has been implemented into a prototype computer program. In the paper the mathematical model, the base shear–top displacement relationships for different types of macroelements, and the step-by-step computational procedure are described. The method has been applied for the analysis of a symmetric and an asymmetric variant of a seven-storey reinforced concrete frame–wall building, as well as for the analysis of a complex asymmetric 21-storey reinforced concrete wall building. The influence of torsion on structural behaviour is discussed. © 1997 by John Wiley & Sons, Ltd.     

PERFORMANCE EVALUATION OF A THREE-STOREY UNREINFORCED MASONRY BUILDING DURING THE 1992 ERZİNCAN EARTHQUAKE

Seismic performance of a three-storey unreinforced masonry building which survived the 1992 Erzincan earthquake without damage is evaluated. Mechanical properties of the masonry walls have been determined experimentally by using identical brick and mortar used in construction. An accurate material model is developed for masonry and employed in a computer program for the non-linear dynamic analysis of masonry buildings. The analytical results based on measured material properties indicated that masonry buildings which satisfy basic seismic code requirements possess remarkable lateral strength, stiffness and energy dissipation capacity. Accordingly, a simple elastic design approach is rendered suitable for unreinforced masonry under seismic excitations, provided that realistic material properties are employed in design.