Multi-Fidelity Modeling-Based Structural Reliability Analysis with the Boundary Element Method

Multi-Fidelity Modeling-Based Structural Reliability Analysis with the Boundary Element Method
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DOI:
10.1142/s1756973717400017
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发表时间:
2017-12
影响因子:
1.5
通讯作者:
L. Morse;Z. S. Khodaei;M. H. Aliabadi
L. Morse;Z. S. Khodaei;M. H. Aliabadi
中科院分区:
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文献类型:
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作者:
L. Morse;Z. S. Khodaei;M. H. Aliabadi

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本文提出了一种将多保真度建模应用于二维弹性静力结构可靠性分析的边界元法方法。采用蒙特卡罗模拟(MCS)、一阶可靠度法(FORM)和二阶可靠度法(SORM)对单轴拉伸作用下带中心圆孔矩形板进行了可靠性分析。研究了20个元素的低保真模型(LFM)和100个元素的高保真模型(HFM)。这些模型在多个设计点的响应利用二阶多项式响应面创建了多保真模型(MFMs),并评估了它们的可靠性,以及LFM和HFM的可靠性。结果表明,直接调用LFM的mfm在精度方面明显优于LFM,达到与HFM非常相似的精度水平,同时计算成本也与LFM相似。这些……
In this work, a method for the application of multi-fidelity modeling to the reliability analysis of 2D elastostatic structures using the boundary element method (BEM) is proposed. Reliability analyses were carried out on a rectangular plate with a center circular hole subjected to uniaxial tension using Monte Carlo simulations (MCS), the first-order reliability method (FORM), and the second-order reliability method (SORM). Two BEM models were investigated, a low-fidelity model (LFM) of 20 elements and a high-fidelity model (HFM) of 100 elements. The response of these models at several design points was used to create multi-fidelity models (MFMs) utilizing second-order polynomial response surfaces and their reliability, alongside that of the LFM and the HFM, was evaluated. Results show that the MFMs that directly called the LFM were significantly superior in terms of accuracy to the LFM, achieving very similar levels of accuracy to the HFM, while also being of similar computational cost to the LFM. These ...