论文标题
使用不确定性理论在混合不确定性下对结构进行混合可靠性分析的数值方法
A numerical approach for hybrid reliability analysis of structures under mixed uncertainties using the uncertainty theory
论文作者
论文摘要
本文通过使用不确定性理论提出了一种用于混合可靠性分析的新型数值方法。在这种方法中同时考虑了不确定性和认知不确定性。认知不确定性的特征是不确定性理论，而认知不确定性的效果通过亚addive不确定度量来量化。然后，在机会理论的框架下，可以将其解释为概率理论和不确定性理论的组合，建立了一个普遍的不确定性量化模型来处理混合可靠性分析问题，然后定义了相应的可靠性指标。之后，为了提高所提出模型的可行性，通过利用基于极性坐标转换的尺寸减小方法，提供了用于混合可靠性模型的数值分析方法。最后，提出了几种申请案例，以证明在混合不确定性下提出的可靠性分析方法的有效性。所提出的方法的结果与蒙特卡洛模拟之间的比较也说明了该方法的优点。
This paper presents a novel numerical method for the hybrid reliability analysis by using the uncertainty theory. Aleatory uncertainty and epistemic uncertainty are considered simultaneously in this method. Epistemic uncertainty is characterized by the uncertainty theory, and the effect of epistemic uncertainty is quantified by the sub-additive uncertain measure. Then, under the framework of the chance theory which can be interpreted as the combination of the probability theory and the uncertainty theory, a general uncertainty quantification model is established to deal with the hybrid reliability analysis problem, then the corresponding reliability metric is defined. After that, to improve the feasibility of the proposed model, by utilizing the polar coordinate transformation based dimension reduction method, a numerical analysis method for the hybrid reliability model are provided. At last, several application cases are presented to prove the effectiveness of the proposed method for the reliability analysis under hybrid uncertainty. The comparisons between the results of the proposed method and the Monte Carlo simulation also illustrate the merit of this method.
