应用力学学报2024,Vol.41Issue(3) :575-584.DOI:10.11776/j.issn.1000-4939.2024.03.010

多维平行六面体模型非概率可靠性灵敏度分析

Non-probabilistic reliability sensitivity analysis based on a multidimensional parallelepiped model

乔心州 裴金星 刘鹏 方秀荣
应用力学学报2024,Vol.41Issue(3) :575-584.DOI:10.11776/j.issn.1000-4939.2024.03.010

多维平行六面体模型非概率可靠性灵敏度分析

Non-probabilistic reliability sensitivity analysis based on a multidimensional parallelepiped model

乔心州 1裴金星 1刘鹏 1方秀荣1
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作者信息

  • 1. 西安科技大学机械工程学院,710054西安
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摘要

可靠性灵敏度能够反映基本变量分布参数对可靠度的影响程度,为可靠性分析与优化设计提供指导.提出了一种基于多维平行六面体模型的非概率可靠性灵敏度分析方法.首先,给出基本变量域完全位于安全域时采用非概率可靠性指标,而基本变量域与安全域有交集时采用非概率失效度作为可靠性度量的原因.其次,推导结构线性系统的可靠性灵敏度解析式,并进一步探讨所提方法对结构非线性系统的适应性问题.最后,通过3个工程算例验证文中方法有效可行.

Abstract

Reliability sensitivity can reflect the influence of the distribution parameter of basic variable on reliability and guide reliability analysis and reliability-based optimization,a non-probabilistic reliability sensitivity analysis method is proposed based on a multidimensional parallelepiped model.The explanation is first given that the non-probabilistic reliability index and the non-probabilistic failure degree are respec-tively used as the reliability measure of structures when the basic variable domain is entirely within and o-verlaps with the safe domain.The analytical expressions of reliability sensitivity of a linear system is then derived,and their application in nonlinear system is further discussed.Three numerical examples are final-ly provided to demonstrate the feasibility and effectiveness of the proposed method.

关键词

非概率可靠性/灵敏度分析/多维平行六面体模型/可靠性指标/失效度

Key words

non-probabilistic reliability/sensitivity analysis/multidimensional parallelepiped model/relia-bility index/failure degree

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基金项目

国家自然科学基金(51775427)

陕西省自然科学基础研究计划(2019JQ-796)

出版年

2024
应用力学学报
西安交通大学

应用力学学报

CSTPCD北大核心
影响因子:0.398
ISSN:1000-4939
参考文献量5
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