Application of dual kriging to structural shape optimization based on the boundary contour method

Summary The paper presents an approach in which the coupling of dual kriging and the boundary contour method (BCM) is applied to structural shape optimization problems in mechanical engineering design. The problems consist of optimizing the shape of an elastic body, which requires minimizing an objective function subject to some given constraints, such as those of displacement, stress or manufacturing. The originality of the present work is involved with the use of two novel methods that are combined here to solve structural shape optimization problems. The first one, called dual kriging, is a general, versatile interpolation and geometric modeling tool. The second one is a new variant of the boundary element method (BEM), called the BCM, which achieves a further reduction in dimensionality of analysis problems. Based on the advantages of these two methods, the coupling approach presented here is expected to offer an effective as well as a straightforward manner for solving shape optimal design problems. Received 18 December 1997; accepted for publication 21 April 1998     

一种改进的物理统计模型

 用统计的研究方法分析Maciel-Bertoni-Xia无线传播模型,提出了一种改进了的物理统计模型.不同于原模型参数为确定值,物理统计模型假设模型中的参数为统计变量,并通过一阶特性:概率密度函数(PDF)和累积分布函数(CDF),特别是二阶特性:电平通过率(LCR)和平均持续衰落时间(ADF)研究了新模型的特性.     

对数正态克立格法理论及其应用

本文首先讨论了对数正态分布及三参数对数正态分布理论,然后重点研究了对数正态克立格法。在分析了无偏条件及最小估计方差之后,给出了对数正态克立格法方程组及对数克立格方差。克立格权系数λ_a即为该方程组的解。据此,可以估计矿床中每一块段的克立格估值Z_v,该估值是具最小估计方差的无偏线性估计量。该法已用于一个铁铜矿床的储量计算。     

珠江三角洲网河区水位空间插值的kriging方法

分析了珠江三角洲网河区水位变化特征.基于区域化变量理论,提出珠江三角洲网河区水位空间插值的kriging方法,给出描述该网河区水位空间分布结构的半变异函数,分析了网河区水位的空间分布,以及水位的空间结构性-方向性和相关距离,并给出了丰水期的一个应用实例,为该地区防洪决策提供科学依据.     

自然与社会环境中的幂律现象和双帕累托对数正态分布

幂律是在许多自然和社会环境中都能观察到的现象。但如何精确地描述这种现象并合理地解释这种现象的成因却一直令人困扰。双帕累托对数正态分布从随机过程的角度对这一问题给出了一个新的思路。本文首先描述双帕累托对数正态分布的数学推导与生成模型,然后解释此分布为什么会在社交网朋友的数量、互联网文件的大小、股票市场的回报、社会财富的占有、城市人口的规模、油田的储量及森林火灾焚烧的面积等现象中出现的可能原因。     

对数正态总体的似然比检验

本应用似然比检验理论，研究了对数正态总体的假设检查问题。     

Numerical Integration of Harmonic Functions with Restricted Sampling Data

Based on the idea of kriging and the radial basis function approximation, we develop in this paper a numerical scheme to integrate harmonic functions with restricted sampling data. To be more precise, the integration is performed by using the function values which are given as discrete sampling data on only part of the boundary. These problems often arise from non-destructive evaluation techniques in the engineering industry. The existence and uniqueness of the solution and the error estimation for the proposed numerical scheme are also discussed. Several numerical experimental results are presented for the verification on the accuracy and convergence of the method.     

归来庄金矿床综合化探金异常的地质统计学研究

综合多元信息,对归来庄金矿床综合化探金异常进行地质统计学研究,主要作了如下工作：利用协同克立格法研究化探元素W, As, Sb对Au异常和Au成矿的影响,利用指示克立格法研究g(Au/Ag)对形成Au异常的贡献,并对今后工作提出建议。     

时空多元指示克立格法的理论研究

在空间指示克立格法和协同区域化理论研究的基础上,对时空多元指示克立格法进行研究。探讨了时空域中的指示二阶距、主分量指示克立格法、指示协同克立格法和序次相关现象等。