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An Iterative Dimension-Wise Approach to the Structural Analysis with Interval Uncertainties

机译：间隔不确定性的结构分析的迭代维度方法

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摘要

The structural analysis is inevitably surrounded with uncertainties and the interval analysis is a favorable method if insufficient data is available on uncertainties. The accuracy of current interval analysis methods including the interval perturbation method (IPM), subinterval perturbation method (SIPM) and dimension-wise approach (DWA) depends on a reference point (RP), e.g., the expansion point in IPM, for some problems due to ignoring the co-operative effects of multiple interval inputs on the response. To this end, an iterative dimension-wise approach (IDWA) is proposed. Either the minimal or maximal input vector of the response is identified as an RP by a global update in which a novel RP is dimension-wisely assembled by the minimal or maximal points of all sectional curves of the response surface at a previous RP through a local update. The interval response is calculated by deterministic solvers at the minimal and maximal input vectors. An acoustic analysis problem is studied eventually to validate the effectiveness of the proposed method, from which conclusions are drawn.
机译：结构分析不可避免地包围不确定性，如果数据不确定，则间隔分析是一种有利的方法。当前间隔分析方法的准确性包括间隔扰动方法（IPM），子宫扰动方法（SIPM）和维度 - 方向方法（DWA）取决于参考点（RP），例如IPM中的扩展点，对于某些问题由于忽略了多个间隔输入对响应的共同效应。为此，提出了一种迭代维度方法（IDWA）。响应的最小或最大输入向量被全局更新被识别为RP，其中新颖的RP是明智地组装在先前RP上的响应表面的所有截面曲线通过本地的最小或最大点组装更新。间隔响应是通过最小和最大输入向量的确定性求解器计算。研究了声学分析问题，最终研究了验证所提出的方法的有效性，从中得出得出。

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