【摘要】 提出了一种根据实测数据建立岩石地基弹模随机场的方法。该方法分两步进行:(1)是数据的收集与预处理,也就是随机场自身的建模问题。针对工程中常见的随机场一般是非均匀随机场的实际,预处理部分主要包括去势处理、异常值的检验、均匀性检验和统计参数(如均值、方差及相关距离)的计算等内容;(2)目标随机场的模拟部分,包括随机场的离散及模拟两部分内容。离散采用局部平均法进行,将模拟区域离散成规则的矩形随机场单元,然后进行单元之间的协方差矩阵的计算;模拟部分采用Cholesky分解技术和随机抽样技术获得均匀随机场的样本,然后把趋势分量在各单元的取值相加即得到目标随机场的模拟样本。最后用一工程实例对该方法的实用性和有效性进行了检验。更多还原

【Abstract】 A method is proposed to modeling the elasticity modulus random field of rock foundations based on the measured data.The method consists of two steps:(1) Data collecting and preprocessing,i.e.the modeling of the random field itself.In terms of the fact that the real-life random field problem is in general non-homogeneous one,the preprocessing sub-step includes de-trending,outlier detecting,homogeneousness testing,and relevant statistics(such as mean,variance and self-correlation distance) calculating.(2) Modeling of the target random field,which includes two sub-steps,discretizing,and simulating of the field. In the discretizing sub-step,the theory of local average of random field is used,and the area to be modeled is divided into several regular rectangle random field elements,and then the covariance matrix of the random field elements is calculated.In the simulating sub-step,Cholesky decomposition and random sampling technologies are used to obtain the homogeneous random field sample.Lastly,the trend components of each element are added to the sample,respectively,thus we get a sample of the target random field.Its correctness and feasibility of the proposed method were shown by one real-life problem.更多还原