Antioptimization of structures with large uncertain-but-non-random parameters via interval analysis
Antioptimization of structures with large uncertain-but-non-random parameters via interval analysis
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DOI：
10.1016/s0045-7825(96)01211-x
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发表时间：
1998-01
影响因子：
7.2
通讯作者：
Z. Qiu;I. Elishakoff
中科院分区：
文献类型：
--
作者：
Z. Qiu;I. Elishakoff
本文建立了结构不确定但非随机参数的非概率区间模型，用于反优化分析，包括确定最不利响应。不确定但非随机的参数被认为是属于被建模为区间的集合的确定性变量。将不确定非随机参数结构的最不利静位移界估计问题转化为求解区间线性方程组的问题。对于较小的区间参数(区间宽度较小)，利用区间矩阵中心记号和自然区间延拓，将区间参数的不确定性处理为区间参数中点附近的摄动量。区间型参数结构静力位移界估计的区间摄动法是邱建国等在最近的研究中提出的。[1]。对于大区间参数，提出了一种估计区间参数结构静力位移界的子区间摄动法。数值结果表明，子区间摄动法比区间摄动法得到的边界更紧凑。
Non-probabilistic, interval modeling of uncertain-but-non-random parameters for structures is developed in this paper for antioptimization analysis, consisting in determining the least favorable responses. The uncertain-but-non-random parameter is considered to be a deterministic variable belonging to a set modeled as an interval. The least favorable static displacement bound estimation for structures with uncertain-but-non-random parameters is transformed into solving interval linear equations. For small interval parameters (the width of interval being small), the uncertainties of interval parameters are treated as the perturbed quantities around the midpoint of interval parameters, by means of the interval matrix central notation and the natural interval extension. Interval perturbation method for estimating the static displacement bound of structures with interval parameters was presented in the recent study by Qiu et al. [1]. For large interval parameters, a subinterval perturbation method for estimating the static displacement bound of structures with interval parameters is put forward in the study. The numerical results show that a subinterval perturbation method yields tighter bounds than those yielded by the interval perturbation method.