A segmented optimization of time-varying extra hydraulic pressure in hydromechanical deep drawing process for wrinkle reduction
摘要
Wrinkling defect in hydromechanical deep drawing (HDD) process is affected by time-varying parameters such as extra hydraulic pressure (EHP). A segmented optimization method is proposed in this study to determine suitable range of EHP for the aim of forming a rocket fuel tank dome without wrinkling. By dividing the forming process into several stages and adopting subsequent optimization, curse of dimensionality in optimizing the time-varying parameter is alleviated. During modelling of the segmented optimization, finite element simulation for HDD process of the rocket fuel tank dome is firstly established and validated by comparing numerical and experimental geometric features. A wrinkling quantification index based on geometric intersection is then developed to evaluate the wrinkling severity. Considering EHP as the optimization variable, an optimization platform is finally constructed by integrating the finite element model, wrinkling quantification index, particle swarm exploratory algorithm, and parallel simulation strategy. Result shows that the segmented optimization method can avoid redundant computations by early stopping the simulations failing optimization objectives and constraints, and prevent blind global exploration by generating subspaces from valid solutions of the previous segment. The optimization provides the critical EHP–stroke curve for determining whether wrinkling occurs under different blank holding forces. To ensure wrinkle-free on the drawing part, EHP at the wrinkle generation stage should be large enough, while EHP at the early and late forming stage has less impact on wrinkle occurrence.