含模糊参数弹性地基梁及桩的有限元分析  

FUZZY FINITE ELEMENT ANALYSIS OF BEAMS AND PILES ON WINKLER FOUNDATION

作　　者：陈原[1] 钱江[1] 

机构地区：[1]同济大学结构工程与防灾研究所,上海200092

出　　处：《工程力学》2004年第1期125-130,173,共7页Engineering Mechanics

基　　金：国家自然科学基金资助项目(59823002)

摘　　要：利用模糊有限元方法研究了文克尔地基上的梁和桩在确定性荷载作用下的反应,其中梁和桩身材料的物性参数及地基参数均模拟成模糊变量。在上述模糊变量为小变量的前提下,利用一种基于普通摄动法原理的模糊摄动展开方法求解模糊有限元平衡方程组得到结构反应量的模糊集。导出了用模糊摄动展开方法求解弹性地基上梁和桩的计算公式,并研究了结构中各模糊参变量对结构反应量模糊集的影响。经与数值模拟的结果比较后表明,方法在精度和实用性方面可较好的满足要求。In this paper, an approach based on perturbation method for solving finite element equations with small fuzzy parameters is applied to fuzzy finite element analysis of beams and laterally loaded piles on Winkler foundation. The material properties such as the elastic modulus, the moment of inertia and the coefficient of subgrade reaction are considered as small fuzzy numbers, that is, the width of interval at each a-cuts is small. The membership function of the fuzzy displacements, fuzzy moments and fuzzy interforce at arbitrary sections of beams or piles can be obtained. These results are compared with those obtained by numerical simulation. It is seen that the proposed technique works well for small fuzzy parameters. It is fairly accurate and applicable to engineering problems with fuzzy parameters.

关 键 词：结构工程 模糊有限元法 模糊集 隶属度 弹性地基梁 层状介质 

分 类 号：O242.21[理学—计算数学]