结构系统概率-模糊-非概率混合可靠性分析

Hybrid Probabilistic Fuzzy and Non-probabilistic Reliability Analysis on Structural System

为了有效地处理结构系统的混合可靠性问题,基于模糊随机可靠性模型及非概率集合可靠性模型,本文建立了结构概率模糊非概率混合可靠性模型。该模型认为结构的极限状态方程所涉及的变量中,既有模糊随机变量,又有区间变量。通过非概率集合可靠度的建立及模糊随机可靠度分析,定义了结构的混合可靠度。进一步借鉴随机结构系统可靠性分析中的增量载荷法,对结构系统概率模糊非概率混合可靠性进行了分析。最后,通过两个典型算例证明了所提出模型的有效性和实用性。

To deal with the hybrid reliability problem of structural systems, this paper establishes a new hybrid reliability model containing randomness, fuzziness and non-probabilistic uncertainty based on structural fuzzy random reliability and non-probabilistic set-based models. By solving the non-proba- bilistic set-based reliability and analyzing the reliability with the fuzziness and the randomness, the structural hybrid reliability can be obtained. Furthermore, using the increment load method for the reliability analysis of the structural system, the hybrid probabilistic fuzzy and non-probabilistic reliability of the structural system are analyzed. Finally, two numerical examples show the effectiveness and the practicability of the presented model.