A Modified Conjugate Gradient Approach for Reliability-Based Design Optimization
A Modified Conjugate Gradient Approach for Reliability-Based Design Optimization
复制标题
DOI：
10.1109/access.2020.2966661
复制
发表时间：
2020-01
期刊：
影响因子：
3.9
通讯作者：
Zhiming Wang;Yafei Zhang;Yalong Song
中科院分区：
文献类型：
--
作者：
Zhiming Wang;Yafei Zhang;Yalong Song
为了提高基于性能度量法的结构可靠性优化设计的效率，针对具有非线性性能函数的结构可靠性优化设计，提出了一种改进的共轭梯度法。在PMA中，先进均值法（AMV）以其简单、高效的特点在工程中得到了广泛的应用。然而，对于RBDO中具有高度非线性的结构性能函数，AMV方法显示出低效和不稳定的结果。为了克服这一缺点，本文提出的MCGA方法通过修改共轭梯度法（CGA）的相关参数和共轭梯度算法搜索最优设计点的方向来提高求解效率。最后给出了三个具有高度非线性性能函数的数值算例和一个减速器的优化设计算例。结果表明，MCGA方法在结构可靠性和RBDO分析中具有较好的有效性和鲁棒性。
To improve the efficiency of structural reliability-based design optimization (RBDO) based on the performance measure approach (PMA), a modified conjugate gradient approach (MCGA) is proposed for RBDO with nonlinear performance function. In PMA, the advanced mean value (AMV) approach is widely used in engineering because its simplicity and efficiency. However, the AMV method shows the inefficient and unstable results for structural performance function with high nonlinearity in RBDO. To overcome this shortcoming, the proposed MCGA method improves the efficiency of solution by modifying the relevant parameters of conjugate gradient approach (CGA) and the direction of conjugate gradient algorithm for searching the optimal design point. Finally, three numerical examples with highly nonlinear performance function and an optimization design example of speed reducer are presented. Compared with different methods, the results show that the MCGA method exhibited the better efficiency and robustness in structural reliability and RBDO analyses.