摘要
建立了包含随机变量和区间变量的结构功能函数,从失效概率积分式出发,推导出结构失效度为以区间变量为自变量的失效度函数在区间变量域上的均值,进而提出根据区间变量是否相关和问题的精度要求,在区间变量域中按照一定的规则抽取一定量的实现值,将对应的随机失效度的平均值作为结构失效度的近似值,从而形成了随机-区间混合变量下的结构可靠性分析模型。采用Monte Carlo模拟仿真运算,可得到较为精确的分析结果。实例分析验证了该文方法的合理性和可行性,并与其它模型的分析结果进行了比较。
The limit-state function containing stochastic and interval variables was given. A hybrid probabilistic and interval mixed model for structural reliability was presented. From failure probability integration, it was derived that the failure probability is the mean value of the failure probability considering the randomness of the interval variable. According to the required precision and considering whether the interval variables were correlated, a certain amount of data were pumped in the range of interval variables, and then the mean value of stochastic failure degrees was calculated as the approximate value of structure failure degree. Monte Carlo method was proposed to realize the analogy calculation. A practical example illustrated the application of the proposed theory. The result was compared with that of other reliability models. It was showed that the theory in this paper can overcome the shortcomings of the hybrid model and has reasonableness and feasibility.
出处
《工程力学》
EI
CSCD
北大核心
2010年第11期22-27,共6页
Engineering Mechanics
基金
总装备部武器装备预研基金项目
