INTERVAL AND SUBINTERVAL ANALYSIS METHODS OF THE STRUCTURAL ANALYSIS AND THEIR ERROR ESTIMATIONS
INTERVAL AND SUBINTERVAL ANALYSIS METHODS OF THE STRUCTURAL ANALYSIS AND THEIR ERROR ESTIMATIONS
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DOI：
10.1142/s0219876206000771
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发表时间：
2006-06
影响因子：
1.7
通讯作者：
Y. T. Zhou;C. Jiang;X. Han-
中科院分区：
文献类型：
--
作者：
Y. T. Zhou;C. Jiang;X. Han-
本文引入区间分析方法来计算具有较小不确定水平参数的结构位移响应的界限。该方法基于一阶泰勒展开和有限元方法。不确定参数被视为区间，无需知道它们的概率分布。通过将不确定参数的区间划分为多个子区间，并对每个子区间组合进行区间分析，提出了处理参数不确定程度较大的结构的子区间分析方法。然而，针对泰勒展开式的二阶截断误差和二阶导数的线性逼近对于不确定参数的影响，给出了两种误差估计方法，分别计算区间分析和子区间分析方法的最大误差。对平面桁架结构进行研究，以证明预...
In this paper, the interval analysis method is introduced to calculate the bounds of the structural displacement responses with small uncertain levels' parameters. This method is based on the first-order Taylor expansion and finite element method. The uncertain parameters are treated as the intervals, not necessary to know their probabilistic distributions. Through dividing the intervals of the uncertain parameters into several subintervals and applying the interval analysis to each subinterval combination, a subinterval analysis method is then suggested to deal with the structures with large uncertain levels' parameters. However, the second-order truncation error of the Taylor expansion and the linear approximation of the second derivatives with respect to the uncertain parameters, two error estimation methods are given to calculate the maximum errors of the interval analysis and subinterval analysis methods, respectively. A plane truss structure is investigated to demonstrate the efficiency of the prese...