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中文摘要：
影响结构优化设计的不确定变量可分为概率变量和非概率变量两种。针对既存在随机变量又存在区间变量的概率一非概率混合结构优化问题，本文提出了一种基于概率-非概率混合可靠性模型的结构优化设计方法。该方法以概率一非概率混合可靠性模型为基础，同时考虑结构的概率和非概率两种不确定因素的影响，通过概率和区间运算给出满足一定约束条件下的最优解。最后通过两个典型算例与基于随机可靠性模型的结构优化设计进行对比。结果显示：在相同不确定信息下，两种可靠性优化设计结果完全相同，表明该方法是有效和实用的。
英文摘要：
The uncertain variables for influencing optimization design can be described as two kinds： probabilistic variables and non-probabilistic variables. For the probabilistic and non-probabilistie hybrid structural optimization problem containing random variables and interval variables, an optimization de- sign method for the uncertain structure is proposed based on probabilistic and non-probabilistic hybrid reliability model. In this method, the impacts of the two kinds of unlertain information are considered. Through probabilistic and interval operations, the method can give an optimum solution under some con- straint conditions. Two classical examples are compared with that of random reliability optimization design method. The result illustrates that the hybrid reliability optimization design method is effective. Based on the same uncertain information, two reliability optimization design methods have the same results, thus it indicates the proposed optimization design method is effective.
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