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Analysis of structures with random axial stiffness described by imprecise probability density functions

机译:用不精确的概率密度函数描述具有随机轴向刚度的结构的分析

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This paper addresses the analysis of structures with random axial stiffness described by imprecise probability density function (PDF). Uncertainties are modelled as random variables whose PDF is assumed to depend on interval basic parameters (mean-value, variance, etc.). The main purpose of the analysis is to propagate the imprecise PDF of the random axial stiffness by establishing approximate bounds on the mean-value and variance of the response. To this aim, an efficient method is proposed which relies on the combination of standard probabilistic analysis with the so-called improved interval analysis via extra unitary interval and the Rational Series Expansion, recently introduced by the authors. The accuracy of the proposed bounds of response statistics is demonstrated by appropriate comparisons with the results obtained performing standard Monte Carlo Simulation in conjunction with a combinatorial procedure. (C) 2017 Elsevier Ltd. All rights reserved.
机译:本文介绍了用不精确概率密度函数(PDF)描述的具有随机轴向刚度的结构的分析。不确定性被建模为随机变量,其PDF假定取决于区间基本参数(均值,方差等)。该分析的主要目的是通过建立响应平均值和方差的近似界限来传播随机轴向刚度的不精确PDF。为此,提出了一种有效的方法,该方法依赖于标准概率分析与作者最近介绍的通过额外unit区间和有理数列展开的所谓改进区间分析的结合。通过与执行标准蒙特卡洛模拟结合组合程序获得的结果进行适当的比较,可以证明所建议的响应统计范围的准确性。 (C)2017 Elsevier Ltd.保留所有权利。

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