基于区间分析的弹性平面问题不确定分析  

Analysis of Elastic Plane Problems with Uncertain Parameters Using Interval Theory

作　　者：聂卉[1] 王人鹏[1] 王石瑛[1] 

机构地区：[1]同济大学土木工程学院建筑工程系,上海200092

出　　处：《佳木斯大学学报（自然科学版）》2012年第2期175-178,183,共5页Journal of Jiamusi University：Natural Science Edition

摘　　要：研究含有不确定参数的线弹性平面问题的位移响应.采取的方法为求解区间线性方程组的固定点迭代算法,并利用EBE方法解决了在单元组装过程中引起的区间相关性问题.主要做了2方面内容:(1)基于INTLAB实现了文献[2]提出的算法,并详细讨论了单元数对算法有效性的影响;(2)将算法在原基础上进行了改进,改进后的算法可以同时考虑弹性模量,密度,单元厚度,外荷载及支座位移不确定性.通过两个算例证明了实现和拓展的有效性,数值结果显示得到和Monte Carlo抽样结果相比相对狭窄且保守.The main purpose of the paper is to calculate displacement response of elastic problems with uncertain parameters.Algorithm of fixed-point iteration based on EBE technique which is used to avoid element coupling in assembly of elements is adopted.The work is composed of two parts：（1） the algorithm presented in the paper is realized based on INTLAB and the influence of total element number on the algorithm is discussed;（2） the algorithm is modified to deal with elastic plane problems with uncertain parameters including elastic modulus,density,element thickness and external load.The effectiveness of the method is verified using two numerical examples,and the results of the numerical examples are extremely sharp and conservative compare with Monte Carlo sampling.

关 键 词：EBE方法 不确定参数 约束位移 弹性平面问题 

分 类 号：O327[理学—一般力学与力学基础]