随机区间模糊混合参数结构可靠性分析

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振动与冲击 ›› 2013, Vol. 32 ›› Issue (18) : 70-74.

论文

随机区间模糊混合参数结构可靠性分析

李少宏，陈建军，曹鸿钧

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Reliability analysis of structures with random-interval-fuzzy hybrid parameters

LI Shao-hong, CHEN Jian-jun, CAO Hong-jun

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摘要

研究同时存在随机、区间、模糊变量的混合参数结构可靠性问题。利用广义密度函数法将模糊变量转化为当量随机变量，基于随机概率可靠性分析方法，获得概率可靠度指标表达式。考虑可靠度指标具有的区间性，利用区间数运算法则及区间截断法对所得可靠度指标区间进行计算、重置，获得混合参数结构可靠度区间表达。通过两算例验证该方法的可行性及有效性。

Abstract

This paper researches a hybrid reliability problem of structures containing random, interval and fuzzy variables. Firstly, the fuzzy variables are converted into equivalent random variables by using the method of generalized density function, based on the probabilistic reliability analysis method, the expression of probabilistic reliability index can be obtained. Secondly, considering the interval of reliability index, it will be calculated and reset by using theory of the interval arithmetic and the method of interval truncation, respectively. Finally, the interval expression of the structural reliability with hybrid parameters is found. Through the two examples show the feasibility and effectiveness of the presented method.

导出引用

李少宏;陈建军;曹鸿钧. 随机区间模糊混合参数结构可靠性分析[J]. 振动与冲击, 2013, 32(18): 70-74

LI Shao-hong;CHEN Jian-jun;CAO Hong-jun. Reliability analysis of structures with random-interval-fuzzy hybrid parameters[J]. Journal of Vibration and Shock, 2013, 32(18): 70-74