中文摘要：

在贝叶斯统计理论和结构可靠性优化设计方法的基础上，研究了结构在小样本情况下考虑可靠度可信区间的结构可靠性优化设计问题。将结构可靠度作为随机变量，根据先验信息和样本信息，采用贝叶斯推断技术获得结构可靠度的概率分布，给出了可靠度的点估计及区间估计。建立了考虑可靠度可信区间的结构可靠性优化设计模型，提出了考虑可靠度可信区间的结构可靠性优化设计方法。所提出的方法为解决小样本情况下的结构可靠性优化设计问题提供了新的解决方案。数值算例验证了所提出的结构可靠性优化设计方法的有效性和正确性。

英文摘要：

Based on Bayesian statistics theory and structural reliability-based optimization design , the paper presents a new reliability-based optimization design approach with confidence level that solves the form of finite test samples .The structural reliability was considered as a random varia-ble ,according to prior information and sample information ,and the method adopted a Bayesian in-ference technique to get probability distribution of reliability ,w hich gave point estimation and confidence level of Bayesian reliability .Structural reliability-based optimization model with confi-dence level was established and the structural reliability-based optimization approach with confi-dence level was proposed .The new research approach and new direction for structure reliability-based design in small-sample situation are provided .The numerical results illustrate the method presented is an efficient and accurate structural reliability-based optimization approach with confi-dence level .