中文摘要：

采用区间变量描述结构不确定性参数,对不确定变量进行标准化,借用超椭球模型分析思路,对优化过程中的变量进行分类,突出稳健性优化设计特点,重点描述基于区间模型稳健性优化的基本思想方法.采用目标性能分析方法,强调指定可靠性指标的唯一性,将变量划分为两类,考虑约束条件从特殊到一般,给出了稳健性优化的具体算法、求解步骤和迭代收敛准则.对实际算例进行了分析与求解,与已有结果比较,验证了论文方法的正确性和有效性.

英文摘要：

There exist a great amount of uncertain factors in actual engineering. These uncertain fac- tors can be expressed as interval variables in analytical model. By standardizing these interval variables, the optimization and solution processes were given. Then,a basic method about robust optimization for interval model was developed by employing the hyper-ellipsoidal model. After classification for the interval varia- bles within the optimization process, the characteristics of robust optimization was highlighted with differ- ent constraint condition. Using target-performance-based analytical scheme, the algorithm, solution step and convergence criteria for robust optimization were presented with only one reliability index. Several typical examples were numerically solved, a good agreement between the numerical solutions and existing results demonstrated the effectiveness and correctness of the present approach.