多领域优化设计中耦合因素的一种协调方法

由多领域组成的大系统协同优化设计中 ,主要存在两类耦合因素 :一是多个领域都需要对其进行优化设计的变量 ,即系统变量或交叉变量 ;二是某个领域计算的结果作为另一个领域的输入 ,即相关变量或耦合变量。这些耦合因素的存在 ,导致整个系统求解的过程出现混乱和无序。本文根据二级求解技术 ,通过引入一些辅助变量 ,提出一种处理这些耦合因素的方法 ,并给出一个简单算例阐述方法的实现

CHEN Bai-hong,LIU Ji-hong,ZHONG Yi-fang,ZHAO Ming,

In multidisciplinary design optimization (MDO), coupled factors usually exist. Such factors usually include two sorts of variables: system variables and coupled variables. System variables are optimized in different disciplinaries concurrently. So, to the same system variable, given the same initial value, different values will perhaps be obtained from different disciplinaries. Coupled variables of a disciplinary are often the outputs of other disciplinaries. The coupled variables can cause disorder in solving. So,it is necessary to take measures to keep its value in accordance during solving. Two Level method is one of the valid approaches to solve this problem by optimizing system variables only in the top level. But it is invalid to coupled variables. In this paper, by introducing some auxiliary variables, a collaborative approach is presented. An example is given to demonstrate the application of the approach.