CAJ | 학술논문

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.
연구함유불학정삼수적선탄성평면문제적위이향응.채취적방법위구해구간선성방정조적고정점질대산법,병이용EBE방법해결료재단원조장과정중인기적구간상관성문제.주요주료2방면내용：（1）기우INTLAB실현료문헌[2]제출적산법,병상세토론료단원수대산법유효성적영향;（2）장산법재원기출상진행료개진,개진후적산법가이동시고필탄성모량,밀도,단원후도,외하재급지좌위이불학정성.통과량개산예증명료실현화탁전적유효성,수치결과현시득도화Monte Carlo추양결과상비상대협착차보수.
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.