基于泰勒展开法的结构混合可靠性分析

doi:10.3969/j.issn.1000-1093.2018.07.019

兵工学报 ›› 2018, Vol. 39 ›› Issue (7): 1404-1410.doi: 10.3969/j.issn.1000-1093.2018.07.019

基于泰勒展开法的结构混合可靠性分析

孟广伟，魏彤辉，周立明，李锋

(吉林大学机械与航空航天工程学院, 吉林长春 130025)

收稿日期:2017-11-08 修回日期:2017-11-08 上线日期:2018-08-24
通讯作者: 李锋(1977—)，男，副教授，硕士生导师 E-mail:fengli@jlu.edu.cn
作者简介:孟广伟(1959—)，男，教授，博士生导师。E-mail：mgw@jlu.edu.cn
基金资助:
国家重大科学仪器设备开发专项项目(2012YQ030075); 吉林省自然科学基金项目(20160520064JH)

Hybrid Reliability Analysis of Structures Based on Taylor Expansion Method

MENG Guang-wei， WEI Tong-hui， ZHOU Li-ming， LI Feng

(School of Mechanical and Aerospace Engineering, Jilin University, Changchun 130025, Jilin, China)

Received:2017-11-08 Revised:2017-11-08 Online:2018-08-24

摘要/Abstract

摘要： 针对既有随机变量又有区间变量的混合不确定性问题，提出一种新的可靠性分析方法。该方法基于泰勒展开，得到了结构功能函数上界和下界的表达式；借助于降维方法，将功能函数近似表示为n个一维变量函数之和，利用泰勒展开，推导结构功能函数的前4阶中心矩；运用四阶矩法可分别获得结构失效概率的上界和下界。该方法无需随机变量的分布概型，避免了对迭代最可能失效点的求解。数值算例结果表明，该方法具有较高的计算精度和较好的适应性。

关键词: 结构可靠性分析, 泰勒展开, 区间变量, 降维算法, 四阶矩

Abstract: A new reliability analysis method is proposed forhybrid uncertainty with both random variables and interval variables. The expression of the upper and lower bounds of structural function is obtained based on the Taylor expansion. By means of the dimensionality reduction method, the structural function is approximated as the sum of n one-dimensional variable functions. The fourth-order central moments of limit state function of structure are derived by utilizing the Taylor expansion. The upper and lower bounds of structural failure probability are obtained by using the fourth-order moment method. In the method, the distribution of random variables is not required, and the most probable failure point of iteration needs not to be solved. Several examples demonstrate that the proposed method has higher calculation accuracy and efficiency. Key

Key words: structuralreliabilityanalysis, Taylorexpansionmodel, intervalvariable, dimensionalityreductionalgorithm, fourth-ordermoment

中图分类号:

TB114.33

孟广伟，魏彤辉，周立明，李锋. 基于泰勒展开法的结构混合可靠性分析[J]. 兵工学报, 2018, 39(7): 1404-1410.

MENG Guang-wei， WEI Tong-hui， ZHOU Li-ming， LI Feng. Hybrid Reliability Analysis of Structures Based on Taylor Expansion Method[J]. Acta Armamentarii, 2018, 39(7): 1404-1410.

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基于泰勒展开法的结构混合可靠性分析

Hybrid Reliability Analysis of Structures Based on Taylor Expansion Method

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