摘要
在工程结构的可靠性优化过程中,求解的效率和精度是优化方法的关键。该文提出一种针对解耦优化的融合策略。所提方法在优化迭代解耦所用的失效概率函数为前几次迭代设计点构建的局部失效概率函数的加权融合形式。在对原可靠性优化问题进行解耦后,结合序列近似优化方法进行迭代求解。相比于常规的仅使用当次局部建立的失效概率函数而言,所提融合策略最大限度利用了各次迭代中产生的信息用于优化解耦求解,能够提高失效概率函数的近似精度,从而间接达到减少迭代次数和计算量的目的。最后给出了屋架和十杆结构的可靠性优化算例,验证该文方法的正确性和可行性。
In engineering structural design, the accuracy and efficiency of the reliability-based design optimization（RBDO） are the key issues. A decoupled method based on an integrating approach is proposed for RBDO. In the proposed method, the approximated function for decoupling in the current iteration is a weighted integration of the failure probability functions（FPFs） obtained in previous iterations. After the original reliability-based optimization problem is decoupled, it is solved within the sequence approximation optimization framework. Compared to the traditional approach that only uses the currently built FPF for decoupling, the proposed approach utilizes all the information generated in previous iterations to solve the problem. It results in a more reasonable and accurate approximation of the FPF, leading to the reduction of the number of iterations and the computational cost. Examples of roof truss and ten-bar structure are given to validate the efficiency and robustness of the proposed method.
作者
袁修开
朱海燕
张保强
YUAN Xiu-kai;ZHU Hai-yan;ZHANG Bao-qiang(School of Aeronautics and Astronautics, Xiamen University, Xiamen, Fujian 361005, China)
出处
《工程力学》
EI
CSCD
北大核心
2018年第5期102-108,117,共8页
Engineering Mechanics
基金
国家自然科学基金委员会-中国工程物理研究院NSAF联合基金项目(U1530122)
国家自然科学基金青年科学基金项目(51505398)
关键词
可靠性优化
解耦
融合策略
失效概率函数
序列近似优化
reliability-based optimization
decoupling
integration approach
failure probability function
sequential approximation optimization
