Decomposition method for multidisciplinary design optimization considering uncertainty

To improve rationality of decomposition for Multidisciplinary Design Optimization (MDO) under uncertainty, influence of uncertain factors on decomposition subject was studied, and an optimal decomposition method for MDO considering uncertainty was proposed. Firstly, traditional Boolean Function Dependency Table (FDT) was extended to a Bi-layer FDT, which described relativity and scale separately. Relationships among elements of size-matrix and design variables?uncertainty were formulated. Secondly, based on Bi-layer FDT, concepts and formulations of task scale, task average degree and task coupling degree were defined. And their computation methods were also given out. An integer programming model was constructed after analyzing its optimization objectives, constraint relationships and optimization variables. Genetic algorithm was applied to resolve decomposition. Finally, the rationality and advantages of aforementioned method was verified by a case study of gear-reducer-box design.