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Enhanced uncertain structural analysis with time- and spatial-dependent (functional) fuzzy results

机译:增强的不确定结构分析,具有时间和空间相关的(功能)模糊结果

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Uncertain structural analysis is the computation of uncertain structural response for uncertain input quantities. In terms of structural analysis, the result quantities (e.g. displacements, stresses, damages, ... ) are time- and spatial-dependent (tau and (theta) under bar respectively), such that x(u) bar right arrow z(u) (tau, (theta) under bar) needs to be solved.The usual procedure is to a priori select a small amount of Quantities of Interest (Qol), e.g. for a specific time and spatial location. For this small amount, the uncertainty analysis is performed, but these results do not represent the structural behaviour; they are just an excerpt based on a priori knowledge (in general not available). The consideration of time and spatial -dependent results yields a high amount of uncertain result quantities.The main goal of this contribution is the formulation of time and spatial dependency based on the continuous space, which allows the general application to structural analysis. Furthermore, the computation of a large amount of fuzzy result quantities is addressed. Therefore, a fuzzy analysis on the basis of a specific fuzzy sampling is introduced. The third aspect discussed is the enhanced fuzzy structural analysis, an approach to compute, visualise and evaluate functional fuzzy results. The necessity and usefulness of these procedures, in terms of identifying failure modes and weak points, is discussed by two examples. (C) 2018 Elsevier Ltd. All rights reserved.
机译:不确定的结构分析是针对不确定的输入量计算不确定的结构响应。在结构分析方面,结果量(例如,位移,应力,破坏等)与时间和空间有关(分别在bar下的tau和(theta)),因此x(u)bar的右箭头z( u)(tau,(bar)下的theta)需要解决。通常的程序是先验地选择少量感兴趣的数量(Qol),例如在特定的时间和空间位置。对于少量的样品,将进行不确定性分析,但是这些结果并不代表结构行为。它们只是基于先验知识的摘录(通常不可用)。考虑时间和空间相关的结果会产生大量不确定的结果量。这一贡献的主要目标是基于连续空间的时间和空间相关性的表述,这使得它可以普遍应用于结构分析。此外,解决了大量模糊结果量的计算。因此,介绍了基于特定模糊采样的模糊分析。讨论的第三个方面是增强的模糊结构分析,一种计算,可视化和评估功能性模糊结果的方法。通过两个示例讨论了在识别故障模式和弱点方面这些程序的必要性和实用性。 (C)2018 Elsevier Ltd.保留所有权利。

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