区间离散度与非概率可靠性的关系及影响

Relationship between interval dispersion and non-probabilistic reliability and its influence

针对区间分析的非概率可靠性模型中变量的区间离散度对非概率可靠性指标的影响问题,基于结构非概率可靠性理论,建立了非概率可靠性指标与区间离散度的关系模型,并对非线性极限功能函数在设计点处做线性化处理,建立非线性极限功能函数状态下的非概率可靠性指标与区间离散度的近似关系模型。基于控制变量法探究了极限状态函数中设计变量的区间离散度对非概率可靠性指标的影响,并通过工程实例,验证了所建立关系模型的合理性、实用性,拓展了非概率可靠性设计理论。

For the influence of interval dispersion of variables on non-probabilistic reliability index in interval analysis nonprobabilistic reliability model,based on structural non-probability reliability theory,the relation model between the nonprobabilistic reliability index and the interval dispersion is established,the linear processing of the nonlinear limit function at the design point is carried out and approximate relation model between non-probabilistic reliability index and interval dispersion under the state of non-linear limit performance function is established.Based on the control variable method,the influence of interval dispersion of design variables on the non-probabilistic reliability index in the limit state function is explored,and the rationality and practicability of the established relational model are verified through engineering examples and the theory of non-probabilistic reliability design is expanded.