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 ona multidimensional parallelepiped model

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。

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 respectively used as the reliability measure of structures when the basic variable domain is entirely within and overlaps 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 finally provided to demonstrate the feasibility and effectiveness of the proposed method.