中文摘要：

结构元件可靠性拓扑优化考虑了工程实践中不确定因素的影响,对于结构可靠性设计具有重要意义。本文将结构元件可靠性拓扑优化设计方法分为嵌套优化法、解耦法、单循环法、可靠性安全系数法。本文首先介绍了各类可靠性拓扑优化模型;然后系统回顾了以上方法的理论基础以及研究现状与应用;最后对以上方法进行了总结,探讨了它们的优缺点和发展方向。

英文摘要：

In the reliability-based topology optimization, the uncertainty is considered during the engineering practice, which is important in a structural reliability design. At present, the most commonly used reliability- based topology optimization methods for a continuum structure are： the nested optimization method, the decoupling method, the single-loop method and the reliability safety coefficient method. Firstly, the mathe- matical models of the reliability-based topology optimization are introduced. Then, the theoretical basis of above methods are systematically discussed, and their current researches and applications are briefly reviewed Finally, the advantages, disadvantages and development trends of above methods are discussed.