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Space-variant finite element reliability analysis

机译:空变有限元可靠性分析

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摘要

Of interest in this paper are reliability problems where the failure event is defined over a spatial domain, e.g. the excursion of a measure of damage above an allowable threshold anywhere within the body of a structure. The uncertainties in the problem may arise from the stochastic nature of the material, the loading, or the geometry and boundary conditions of the structure. The finite element approach, together with the first-order reliability method, are used to derive approximate solutions of the space-variant failure probability. The paper also introduces a new limit formula for the mean crossing density of a random field. Two examples are used to demonstrate the method and its accuracy.
机译:本文关注的是可靠性问题,其中故障事件是在空间域上定义的,例如在结构体内任何位置超过允许阈值的损坏程度的偏移。问题的不确定性可能来自于材料的随机性,载荷,结构的几何形状和边界条件。有限元方法与一阶可靠性方法一起用于导出空间变量失效概率的近似解。本文还为随机场的平均穿越密度引入了新的极限公式。通过两个例子来说明该方法及其准确性。

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