537 Estimation of Optimal Blank Holder Force Trajectories in Segmented Binders using an ARMA Model

概要

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In sheep metal forming, one of the key parameters affecting the forming process is the blank holder force (BHF). Researchers have demonstrated that by varying the BHF during the forming process, failure due to wrinkling and/or tearing can be avoided [1][2][3]. In recent years, attention has also been focused on forming processes in which multiple binder forces are used via segmented binders and flexible binders [4][5][6]. In this paper, we have combined the above two aspects and used a robust method to determine the blank holder force trajectories for a non-circular part using segmented binder. The proposed strategy is verified by implementing it into a finite element simulation. Binder force is treated as a system input. The displacement of the binder is used as a parameter to measure wrinkling and is therefore treated as a system output. The parameters of the system are continuously identified and updated using a deterministic Auto-Regressive Moving-Average model (ARMA). The model is then used to control the binder displacement to a prescribed value by adjusting the system input, i.e., the binder force. In this manner, individual binder force profiles for each of the segmented binders are obtained. Due to the generic nature of the ARMA model, the strategy proposed in this paper can be applied to a variety of forming problems, making it a robust approach.
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