中文摘要：

针对目前在[-1,1]区间内,由非概率可靠度理论无法判断结构的安全与失效的问题,基于3σ截断法则,建立概率可靠度指标与非概率可靠度指标之间的对应关系。由《建筑结构可靠度设计统一标准》（GB-50068-2001）规定的结构可靠性指标计算临界非概率可靠性指标,提出了非概率可靠度指标处于[-1,1]区间内的一种由临界非概率可靠度指标确定结构可靠性的方法,并结合算例验证了该方法的有效性。研究结果表明：利用概率可靠度指标与非概率可靠度指标间的对应转换关系,由临界非概率可靠度指标可有效处理非概率可靠性指标处于[-1,1]区间内的结构可靠性问题,以更方便地评价结构的安全度。

英文摘要：

When the non-probabilistic reliability index falls in the range of [-1,1],it is unable to determine whether the structure is safe or not with the non-probabilistic reliability theory. Based on the 3σ rule,the relationship between the probabilistic reliability index and the non-probabilistic reliability index is established. According to Unified Standard for Reliability Design of Building Structures（ GB-50068-2001）,a method to determine the safety of a structure based on the non-probabilistic reliability index when it is between-1 and 1 is proposed. An example proves the effectiveness and correctness of the proposed method. The study also shows that it is convenient to determine the structure＇s safety by using the relationship of the probabilistic and the non-probabilistic reliability index.