点击次数：

发表时间：2022-10-10

发表刊物：固体力学学报

期号：6

页面范围：646-654

ISSN号：0254-7805

摘要：In the circumstances of hardly defining precise probability distributions of uncertainties when only a limited number of sample information is available, the non-probabilistic reliability based on convex models serves as an effective approach for structural safety assessment. Based on the multi-ellipsoid model description for bounds of uncertainties in material properties, geometric dimensions and loading conditions, a min-max mathematical definition of the non-probabilistic reliability index is presented by using the normalized transformation and the generalized infinity norm measurement. The presented non-probabilistic reliability index can be regarded as the relative 'length' ratio of the structural allowable variation range to the reference variation range. By approximating the limit-state function with linear expansion, an explicit iterative algorithm is presented for solving the non-probabilistic reliability index conveniently. Numerical examples are given to illustrate the validity and efficiency of the present iterative approach.

备注：新增回溯数据