Reliability analysis using first-order reliability methods (FORM) has been widely used in reliability-based design optimization (RBDO) due to their simplicity and efficiency. The performance of the RBDO is highly dependent on how it deals with the loops of deterministic optimization and reliability analysis as well as the process of reliability assessment. In this paper, sequential optimization and reliability analysis (SORA) is employed to reduce the computational cost of RBDO. Moreover, a double-step modified adaptive chaos control method (DS-MACC) based on an improved adaptive chaos control approach is developed to speed up the reliability analysis loop. In the method presented here, two sets of novel criteria are introduced within two steps to distinguish the condition of the iterative process, compute and modify the step size. The efficiency and robustness of the proposed method is shown with eight inverse reliability problems and five RBDO examples and is compared with some methods developed recently. The results illustrate that the proposed method is more efficient with a competitive convergence rate.

使用一阶可靠性方法 (FORM) 的可靠性分析由于其简单性和高效性而被广泛用于基于可靠性的设计优化 (RBDO)。RBDO 的性能高度依赖于它如何处理确定性优化和可靠性分析的循环以及可靠性评估过程。在本文中，采用顺序优化和可靠性分析（SORA）来降低RBDO的计算成本。此外，开发了一种基于改进的自适应混沌控制方法的双步改进自适应混沌控制方法（DS-MACC），以加快可靠性分析循环。在这里介绍的方法中，在两个步骤中引入了两组新标准，以区分迭代过程的条件，计算和修改步长。所提出方法的效率和鲁棒性通过八个逆可靠性问题和五个 RBDO 示例显示，并与最近开发的一些方法进行了比较。结果表明，所提出的方法在具有竞争收敛速度的情况下更有效。