An exact solution for the static and dynamic analysis of FE discretized uncertain structures
An exact solution for the static and dynamic analysis of FE discretized uncertain structures
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DOI：
10.1016/j.cma.2006.12.003
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发表时间：
2007-04
影响因子：
7.2
通讯作者：
Giovanni Falsone;G. Ferro
中科院分区：
文献类型：
--
作者：
Giovanni Falsone;G. Ferro
本文的目的是对有限元离散化的不确定线性结构进行静力和动力域的概率分析。特别是，一个程序，能够给出的响应和随机变量之间的确切关系，代表结构的不确定性，假设点离散化方法用于表示的不确定性随机场。该程序基于结构变形模式的属性，特别是用于结构离散化的FE类型的主要变形模式的数量。一旦不确定性的概率描述是固定的，这些关系的使用导致响应的精确概率表征。此外，他们给出的近似关系时，只有一些随机变量，选择的灵敏度程序，包括在分析中。这允许通过减少的计算工作量获得最佳的准确度水平。
The probabilistic analysis of FE discretized uncertain linear structures in the static and dynamic domain is the goal of this paper. In particular, a procedure able to give the exact relationship between the response and the random variables representing the structural uncertainties is presented, under the assumption that a point-discretization method is used for the representation of the uncertain random field. This procedure is based on the properties of the structural deformation modes and, in particular, on the number of principal deformation modes of the FE type used for the structural discretization. The use of these relationships leads to the exact probabilistic characterization of the response, once that the probabilistic description of the uncertainty is fixed. Moreover, they give the approximate relationship when only some of the random variables, chosen by a sensitivity procedure, are included in the analysis. This allows to obtain an optimum level of accuracy through a reduced computational effort.