Abstract：Considering the great amount of uncertainty factors existing in actually engineering, the uncertain parameters in the structure were described as one special case of convex variables, that is, the interval variables. According to the definition of reliability-index based on interval model, the non-probabilistic reliability analysis was carried out with analytical approach. In order to avoid the loss of the probable failure point, analytical model starts from 2-D plane and 3-D space. After division of domain within 2-D and 3-D, the probable failure points can only exist on the extreme points and the root points of the limit state function. after simple comparison directly, it is easy to find the most probable failure point and to acquire the reliability-index. Furthermore, the low-dimensional analytical scheme has been extended to high- dimensional case. The equation numbers used for calculating the extreme point and the root point has obtain, which can be useful to avoid the loss of the probable failure point and meaningful for optimizing searching in this researching field. Finally, two kinds of examples were presented and compared with existing computation. The agreement shows that the analytical approach in the paper is correct.
2014, Vol. 35 
