NON-PROBABILISTIC RELIABILITY SENSITIVITY ANALYSIS BASED ON CONVEX MODEL

QIAO XinZhou; SU QuanWei; LI Long; Ge HongYu

doi:10.16579/j.issn.1001.9669.2019.04.021

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NON-PROBABILISTIC RELIABILITY SENSITIVITY ANALYSIS BASED ON CONVEX MODEL

更新时间：2022-09-22

- NON-PROBABILISTIC RELIABILITY SENSITIVITY ANALYSIS BASED ON CONVEX MODEL
- Journal of Mechanical Strength Vol. 41, Issue 4, Pages: 895-900(2019)
- 作者机构：
  
  1. 西安科技大学机械工程学院
  2. 河南机电职业学院机电工程学院
- 作者简介：
- 基金信息：
- DOI：10.16579/j.issn.1001.9669.2019.04.021
  CLC：
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QIAO XinZhou, SU QuanWei, LI Long, et al. NON-PROBABILISTIC RELIABILITY SENSITIVITY ANALYSIS BASED ON CONVEX MODEL. [J]. 41(4):895-900(2019)
DOI：

QIAO XinZhou, SU QuanWei, LI Long, et al. NON-PROBABILISTIC RELIABILITY SENSITIVITY ANALYSIS BASED ON CONVEX MODEL. [J]. 41(4):895-900(2019) DOI： 10.16579/j.issn.1001.9669.2019.04.021.

摘要

可靠性灵敏度能够确定可靠度和不确定变量分布参数的内在联系,对可靠性分析和设计具有指导作用。本文将非概率可靠性灵敏度指标定义为非概率可靠性指标对变量分布参数的偏导数,提出了一种基于椭球凸集模型的非概率可靠性灵敏度分析方法。推导了线性极限状态函数的非概率可靠性灵敏度的解析公式。对于非线性极限状态函数,通过将极限状态函数在两种不同线性化位置进行泰勒一阶展开,分别给出了非概率可靠性灵敏度分析的近似解析解。算例分析结果表明文中所提方法有效可行。

Abstract

Reliability sensitivity determines the relationship between reliability and the distribution parameters of uncertain variables, and guides reliability analysis and reliability design. A novel non-probabilistic reliability sensitivity analysis method based on ellipsoidal convex model was presented, in which non-probabilistic reliability sensitivity was defined as a partial derivative of non-probabilistic reliability index with respect to the distribution parameters of uncertain variables. The analytical equations of non-probabilistic reliability sensitivity for linear limit state functions were first derived. Through-two different choices of the linearization point, the approximate functions of non-linear limit state functions can be then obtained by using the first-order Taylor expansion, then the approximate analytical equations of non-probabilistic reliability sensitivity were given. Several numerical examples will be used to demonstrate the effectiveness and feasibility of the proposed methods.

关键词

非概率可靠性凸集模型灵敏度分析

Keywords

Non-probabilistic reliabilityConvex modelSensitivity analysis

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