An incremental shifting vector approach for reliability-based design optimization
An incremental shifting vector approach for reliability-based design optimization
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DOI：
10.1007/s00158-015-1352-7
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发表时间：
2016-03
影响因子：
3.9
通讯作者：
Z. L. Huang;Chao Jiang;Y. Zhou;Z. Luo;Z. Zhang
中科院分区：
文献类型：
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作者：
Z. L. Huang;Chao Jiang;Y. Zhou;Z. Luo;Z. Zhang
提出了一种基于可靠性设计优化（RBDO）的解耦算法，该算法在效率和收敛性方面都具有较高的性能，为许多复杂结构的可靠性设计提供了一种有效的工具。该算法通过执行移位向量计算，然后在每一步中求解确定性设计优化来进行，并最终收敛到最优解。为了保证迭代过程的稳定收敛，提出了增量移位策略。在每一步中，移位向量保留来自前一步的信息，并且仅通过移位向量增量对其进行调整。给出了位移向量增量的计算方法，避免了可靠性分析中的优化问题求解，大大减少了迭代过程的计算量。六个数值例子和两个工程应用验证了本文所提出的方法的有效性。
This paper proposes a decoupling algorithm for reliability-based design optimization (RBDO) with high performance in terms of efficiency and convergence, which provides an effective tool for reliability design of many complex structures. The algorithm proceeds by performing a shifting vector calculation and then solving a deterministic design optimization in each step, and eventually converges to the optimal solution. An incremental shifting strategy is proposed to ensure stable convergence in the iteration process. In each step, the shifting vector preserves the information from the previous step, and only an adjustment is made for it through a shifting vector increment. A computation method is given for the shifting vector increment, avoiding solving an optimization problem during the reliability analysis and thus greatly reducing the computational cost of the iteration process. Six numerical examples and two engineering applications are presented to validate the effectiveness of the method proposed in this paper.