复杂的多学科工程系统的协同优化设计因为变量耦合的存在而非常复杂, 针对已有的一些求解策略存在的问题, 提出一种基于分类和拓扑解耦的快速求解方法, 通过簇间耦合变量备份代理解耦和簇内拓扑单向学科可行的策略求解多学科复杂问题. 首先通过分析学科间灵敏度对系统进行聚类操作; 然后在簇间系统层引入约束以保证簇与簇之间相互独立; 最后每个簇内经过拓扑解耦处理后得到一个无环的树结构, 文中方法能够显著降低学科的分析求解过程, 提高系统整体求解的速度. 通过比较2 个解析多学科优化问题的求解结果, 验证了该方法的有效性.
The collaborative optimization involved in multidisciplinary engineering system design is complicated because of the presence of variable couplings. With regard to the present problems of the existing solving strate-gies, a fast solving method based on classification and topology decoupling is proposed, in which the copy surro-gate is adopted for the couplings among different clusters whereas the topology unidirectional discipline feasible strategy is used for the couplings in the same cluster. Firstly, the disciplines are clustered using the sensitivity analysis; Then the clusters are made independent by adding some constraints at the system level; At last, a tree structure without loop is obtained by performing the topology decoupling operation. With our method, the solving process is decreased to a great extent and the system solving process is accelerated. Two analytical multidiscipli-nary optimization problems are solved and the results are compared, which demonstrates the effectiveness of the proposed method.