期刊
ENGINEERING STRUCTURES
卷 32, 期 1, 页码 1-10出版社
ELSEVIER SCI LTD
DOI: 10.1016/j.engstruct.2009.08.011
关键词
Sobol' decomposition; Uncertainty quantification; Monte Carlo simulation; Structural collapse analysis; Sensitivity analysis; Variance decomposition
This paper applies the Sobol' decomposition of a function of many random variables to a problem in structural mechanics, namely the collapse of a two story two bay frame under gravity load. Prior to introduction of this example application, the Sobol' decomposition itself is reviewed and extended to cover the case in which the input random variables have Gaussian distribution. Then. an illustrative example is given for a polynomial function of 3 random variables. In the structural example, the Sobol' decomposition is used to decompose the variance of the response, the collapse load, into contributions from the individual input variables. This decomposition reveals the relative importance of the individual member yield stresses in determining the collapse load of the frame. In applying the Sobol' decomposition to this structural problem the following issues are addressed: Calculation of the components of the Sobol' decomposition by Monte Carlo simulation; the effect of input distribution on the Sobol' decomposition: convergence of estimates of the Sobol' decomposition with sample size using various sampling schemes; the possibility of model reduction guided by the results of the Sobol' decomposition. (C) 2009 Elsevier Ltd. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据