摘要
针对协同优化方法受起始点影响较大、稳定性不足和收敛难度大的问题,定义了耦合一致度来衡量各学科变量间的一致性要求,并提出了基于渐近松弛的协同优化方法(CO-AR).该方法的计算过程分为2个阶段:①根据设定的耦合一致度,确定系统级松弛因子,并计算得到近似全局优化解;②以第1阶段的优化解作为起始点,并选取符合一致性精度要求的松弛因子进行协同优化,求得最终优化解.减速器标准算例结果表明,所提方法能够大大降低对起始点的敏感程度,有效改善协同优化方法的收敛性和稳定性.
Collaborative optimization convergence are poor. To solve this （CO） is easily influenced by the initial points, whose stability and problem, the coupling consistency degree was defined to measure the consistency of the variables in different disciplines. The asymptotic relaxation based collaborative optimiza- tion method （CO-AR）was proposed,whose calculation process was divided into two phases. In the first phase, the relaxation factor of the system was computed based on the set coupling consistency degree, and the approximate global optimal solutions was solved, which were adopted as the initial points in the second phase. In the second phase, the relaxation factor was fixed again at a minimum according to the precision demand of the coupling consistency, and the final solutions were obtained. The standard numeral example of the reducer shows that the proposed method can greatly reduce the sensitivity to the initial points and ef fectively improve the convergence and the stability of CO.
出处
《上海交通大学学报》
EI
CAS
CSCD
北大核心
2013年第12期1896-1901,1906,共7页
Journal of Shanghai Jiaotong University
基金
陕西省自然科学基金项目(2011JQ6007)
关键词
多学科设计优化
协同优化
松弛
收敛
multidisciplinary design optimization
collaborative optimization
relaxation
convergence
