A Hierarchical Optimization Method for Deformation Force Monitoring Layout of Annular Parts

Obtaining residual stress is crucial for controlling the machining deformation in annular parts， and can directly influence the performance and stability of key components in advanced equipment. Since existing research has achieved global residual stress field inference for components by using the deformation force-based method where the deformation force is monitored during the machining process， reliable acquisition of deformation force still remains a significant challenge under complex machining conditions. This paper proposes a hierarchical optimization method for the layout of deformation force monitoring of annular parts. The proposed method establishes two optimization objectives by analyzing the relationship between the deformation force and the residual stress in annular parts， i.e.， equivalence and ill-conditioning of solving process. Specifically， the equivalence of the monitored deformation force and residual stress in terms of effect on caused machining deformation is evaluated by local deformation， and the ill-conditioning is also optimized to enhance the stability of residual stress inference. Verification is implemented in both simulation and actual machining experiments， demonstrating effectiveness of the proposed layout optimization method in inferring residual stress field of annular parts with deformation force.