结构非概率鲁棒可靠性准则

通过反例指出Ben-Haim的鲁棒可靠性准则是错误的同时．利用集合数学理论中的凸集合间的偏序关系，给出了新的非概率凸模型理论的鲁棒可靠性准则。并用数值算例说明了所提出的结构非概率凸模型鲁棒可靠性理论的正确性和实用性。

Criterion of the non-probabilistic robust reliability for structures

In order to investigate the reliability of structures with the non-probabilistic convex model theory, the uncertain variables are quantified using the convex set. By doing so, the reliability analysis of structures can be conducted by means of optimization or anti-optimization schemes without the knowledge of the statistic information of the uncertain variables. A counter example shows that mistakes may exist in Ben-Haim's theory on the robust reliability. And a new robust reliability criterion based on the non-probabilistic convex model theory was given by using the partial order relation of the superscribed hyperrectangle or interval vectors of convex models. A simple numerical example shows the correctness and feasibility of the proposed criterion on the non-probabilistic robust reliability.