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分析了现有结构可靠性设计中概率、非概率可靠性指标算法存在的问题,将概率可靠性中的梯度投影法运用到非概率可靠性中,提出了一种计算非概率可靠性指标的新方法并进行了数值实现,结果表明:该方法在变量较多、极限状态功能函数较复杂时,能够快速、准确地计算可靠性指标。在此基础上,将非概率可靠性指标与安全系数相结合,得出了两者之间的关系并进行了实例验证,结果表明:非概率可靠性指标与非概率安全系数用于评价结构可靠性时具有一致性,在结构的可靠性临界点处,非概率安全系数与非概率可靠性指标都近似等于1。
The problems existing in the algorithm of probability and non-probabilistic reliability in the reliability design of the existing structure are analyzed. The gradient projection method in probability and reliability is applied to the non-probabilistic reliability. A new method to calculate the non-probabilistic reliability index is proposed The results show that this method can calculate the reliability index quickly and accurately when there are many variables and the function functions of limit state are more complicated. On this basis, the non-probabilistic reliability index is combined with the safety factor, the relationship between the two is obtained and the example is verified. The results show that the non-probabilistic reliability index and the non-probabilistic safety factor are used to evaluate the reliability of the structure There is consistency in sex, and at the critical point of the reliability of the structure, both the non-probabilistic safety factor and the non-probabilistic reliability index are approximately equal to 1.